Product Description
Product Description
The spline is a kind of linear motion system. When spline motions along the precision ground Shaft by balls, the torque is transferred. The spline has compact structure. It can transfer the Over load and motive power. It has longer lifetime. At present the factory manufacture 2 kinds of spline, namely convex spline and concave spline. Usually the convex spline can take bigger radial load and torque than concave spline.
| Product name | Ball spline |
| Model | GJZ,GJZA,GJF,GJH,GJZG,GJFG, |
| Dia | 15mm-150mm |
| Material | Bearing Steel |
| Precision Class | Normal/ High/ Precise |
| Package | Plastic bag, box, carton |
| MOQ | 1pc |
Ball type:φ16-φ250
High speed , high accuracy
Heavy load , long life
Flexible movement,low energy consumption
High movement speed
Heavy load and long service life
Applicationgs:semiconductor equipment,tire machinery,monocrystalline silicon furnace,medical rehabilitation equipment
Product Parameters
Structure
Scope of application
Semiconductor equipment,tire machinery,monocrystalline silicon furnace,medical rehabilitation equipment.
FFZ size
| Code and type | Nominal axial dia. d0 |
External dia. D |
Length of spline nut L1 |
Max. length of shaft L |
Standard rated torque | Basic rated load | ||
| Dynamic torsion N-m |
Stationary torsion N-m |
Dynamic load C kN |
Static load C0 kN |
|||||
| GJZG16 / GJFG16 | 16 | 31 | 50 | 500 | 32 | 30 | 7.5 | 15.6 |
| GJZG20 / GJFG20 | 20 | 35 | 63 | 600 | 55 | 55 | 10.1 | 24.7 |
| GJZG25 / GJFG25 | 25 | 42 | 71 | 800 | 103 | 105 | 13.7 | 30.1 |
| GJZG30 / GJFG30 | 30 | 48 | 80 | 1400 | 148 | 171 | 17.1 | 37.1 |
| GJZG40 / GJFG40 | 40 | 64 | 100 | 1500 | 375 | 415 | 32.1 | 70.2 |
| GJZG50 / GJFG50 | 50 | 80 | 125 | 1500 | 760 | 840 | 49.4 | 104.9 |
| GJZG60 / GJFG60 | 60 | 90 | 140 | 1500 | 1040 | 1220 | 64.2 | 128.2 |
| GJZG80 / GJFG80 | 80 | 120 | 160 | 1700 | 1920 | 2310 | 87.3 | 170.7 |
| GJZG100/ GJFG100 | 100 | 150 | 190 | 1900 | 3571 | 3730 | 109.9 | 222 |
| GJZG120 / GJFG120 | 120 | 180 | 220 | 1900 | 4100 | 5200 | 176.5 | 347 |
If you have any needs,pls feel free to contact us and we will send you our catalog for reference.
Main Products
Company Profile
Customer Feedback
FAQ
1. Why choose AZI China?
With more than 60 years of production experience, quality assurance,factory directly price.
2. What is your main products ?
Our Main products are consist of ball screw,linear guide,arc linear guide,ball spline and ball screw linear guide rail module.
3. How to Custom-made (OEM/ODM)?
If you have a product drawing or a sample, please send to us, and we can custom-made the as your required. We will also provide our professional advices of the products to make the design to be more realized & maximize the performance.
4. When can I get the quotation?
We usually quote within 24 hours after we get your inquiry. If you are very urgent to get the price,please call us or tell us in your email so that we will regard your inquiry priority.
5. How can I get a sample to check the quality?
We quote according to your drawing, the price is suitable, CZPT the sample list.
6. What‘s your payment terms?
Our payment terms is 30% deposit,balance against receiving copy of B/L or L/C sight.
| Material: | Gcr15 |
|---|---|
| Load: | Customized |
| Stiffness & Flexibility: | Stiffness / Rigid Axle |
| Journal Diameter Dimensional Accuracy: | Customized |
| Transport Package: | Cartons or Wooden Box |
| Specification: | 16-120 |
| Samples: |
US$ 10/Set
1 Set(Min.Order) | |
|---|
| Customization: |
Available
| Customized Request |
|---|
Applications of Spline Couplings
A spline coupling is a highly effective means of connecting two or more components. These types of couplings are very efficient, as they combine linear motion with rotation, and their efficiency makes them a desirable choice in numerous applications. Read on to learn more about the main characteristics and applications of spline couplings. You will also be able to determine the predicted operation and wear. You can easily design your own couplings by following the steps outlined below.
Optimal design
The spline coupling plays an important role in transmitting torque. It consists of a hub and a shaft with splines that are in surface contact without relative motion. Because they are connected, their angular velocity is the same. The splines can be designed with any profile that minimizes friction. Because they are in contact with each other, the load is not evenly distributed, concentrating on a small area, which can deform the hub surface.
Optimal spline coupling design takes into account several factors, including weight, material characteristics, and performance requirements. In the aeronautics industry, weight is an important design factor. S.A.E. and ANSI tables do not account for weight when calculating the performance requirements of spline couplings. Another critical factor is space. Spline couplings may need to fit in tight spaces, or they may be subject to other configuration constraints.
Optimal design of spline couplers may be characterized by an odd number of teeth. However, this is not always the case. If the external spline’s outer diameter exceeds a certain threshold, the optimal spline coupling model may not be an optimal choice for this application. To optimize a spline coupling for a specific application, the user may need to consider the sizing method that is most appropriate for their application.
Once a design is generated, the next step is to test the resulting spline coupling. The system must check for any design constraints and validate that it can be produced using modern manufacturing techniques. The resulting spline coupling model is then exported to an optimisation tool for further analysis. The method enables a designer to easily manipulate the design of a spline coupling and reduce its weight.
The spline coupling model 20 includes the major structural features of a spline coupling. A product model software program 10 stores default values for each of the spline coupling’s specifications. The resulting spline model is then calculated in accordance with the algorithm used in the present invention. The software allows the designer to enter the spline coupling’s radii, thickness, and orientation.
Characteristics
An important aspect of aero-engine splines is the load distribution among the teeth. The researchers have performed experimental tests and have analyzed the effect of lubrication conditions on the coupling behavior. Then, they devised a theoretical model using a Ruiz parameter to simulate the actual working conditions of spline couplings. This model explains the wear damage caused by the spline couplings by considering the influence of friction, misalignment, and other conditions that are relevant to the splines’ performance.
In order to design a spline coupling, the user first inputs the design criteria for sizing load carrying sections, including the external spline 40 of the spline coupling model 30. Then, the user specifies torque margin performance requirement specifications, such as the yield limit, plastic buckling, and creep buckling. The software program then automatically calculates the size and configuration of the load carrying sections and the shaft. These specifications are then entered into the model software program 10 as specification values.
Various spline coupling configuration specifications are input on the GUI screen 80. The software program 10 then generates a spline coupling model by storing default values for the various specifications. The user then can manipulate the spline coupling model by modifying its various specifications. The final result will be a computer-aided design that enables designers to optimize spline couplings based on their performance and design specifications.
The spline coupling model software program continually evaluates the validity of spline coupling models for a particular application. For example, if a user enters a data value signal corresponding to a parameter signal, the software compares the value of the signal entered to the corresponding value in the knowledge base. If the values are outside the specifications, a warning message is displayed. Once this comparison is completed, the spline coupling model software program outputs a report with the results.
Various spline coupling design factors include weight, material properties, and performance requirements. Weight is one of the most important design factors, particularly in the aeronautics field. ANSI and S.A.E. tables do not consider these factors when calculating the load characteristics of spline couplings. Other design requirements may also restrict the configuration of a spline coupling.
Applications
Spline couplings are a type of mechanical joint that connects two rotating shafts. Its two parts engage teeth that transfer load. Although splines are commonly over-dimensioned, they are still prone to fatigue and static behavior. These properties also make them prone to wear and tear. Therefore, proper design and selection are vital to minimize wear and tear on splines. There are many applications of spline couplings.
A key design is based on the size of the shaft being joined. This allows for the proper spacing of the keys. A novel method of hobbing allows for the formation of tapered bases without interference, and the root of the keys is concentric with the axis. These features enable for high production rates. Various applications of spline couplings can be found in various industries. To learn more, read on.
FE based methodology can predict the wear rate of spline couplings by including the evolution of the coefficient of friction. This method can predict fretting wear from simple round-on-flat geometry, and has been calibrated with experimental data. The predicted wear rate is reasonable compared to the experimental data. Friction evolution in spline couplings depends on the spline geometry. It is also crucial to consider the lubrication condition of the splines.
Using a spline coupling reduces backlash and ensures proper alignment of mated components. The shaft’s splined tooth form transfers rotation from the splined shaft to the internal splined member, which may be a gear or other rotary device. A spline coupling’s root strength and torque requirements determine the type of spline coupling that should be used.
The spline root is usually flat and has a crown on one side. The crowned spline has a symmetrical crown at the centerline of the face-width of the spline. As the spline length decreases toward the ends, the teeth are becoming thinner. The tooth diameter is measured in pitch. This means that the male spline has a flat root and a crowned spline.
Predictability
Spindle couplings are used in rotating machinery to connect two shafts. They are composed of two parts with teeth that engage each other and transfer load. Spline couplings are commonly over-dimensioned and are prone to static and fatigue behavior. Wear phenomena are also a common problem with splines. To address these issues, it is essential to understand the behavior and predictability of these couplings.
Dynamic behavior of spline-rotor couplings is often unclear, particularly if the system is not integrated with the rotor. For example, when a misalignment is not present, the main response frequency is one X-rotating speed. As the misalignment increases, the system starts to vibrate in complex ways. Furthermore, as the shaft orbits depart from the origin, the magnitudes of all the frequencies increase. Thus, research results are useful in determining proper design and troubleshooting of rotor systems.
The model of misaligned spline couplings can be obtained by analyzing the stress-compression relationships between two spline pairs. The meshing force model of splines is a function of the system mass, transmitting torque, and dynamic vibration displacement. This model holds when the dynamic vibration displacement is small. Besides, the CZPT stepping integration method is stable and has high efficiency.
The slip distributions are a function of the state of lubrication, coefficient of friction, and loading cycles. The predicted wear depths are well within the range of measured values. These predictions are based on the slip distributions. The methodology predicts increased wear under lightly lubricated conditions, but not under added lubrication. The lubrication condition and coefficient of friction are the key factors determining the wear behavior of splines.
editor by CX 2023-07-13
China wholesaler Tbi Diameter 10mm Spline Shaft Hollow/Solid High Speed Slf010 Ball Spline drive shaft parts
Product Description
Product Description
TBI Diameter 10mm Spline Shaft Hollow/Solid High Speed SLF571 Ball Spline
Achieve optimal efficiency and performance with our ball spline technology.Designed to reduce friction and wear,our SLF571 ball splines are the perfect choice for demanding industrial applications.
| Material |
Bearing Steel,Stainless Steel |
|
Accuracy grade |
N,H,P |
| Quality standard | ISO9001:2015,CE certificate,RoHS and reach compliance |
| Preload | P0,P1,P2 |
| Custom Services | Customized shaft end machining and surface treatment are available CZPT on requirements |
We provide custom service,ball spline can be manufactured according to drawings.
Product Parameters
Our Advantages
| Free service | Performance testing |
| Technical solution | |
| Please contact the salesman for details | |
|
Custom service |
GCr15,Stainless steel and other customized materials |
| Surface treatment | |
| Custom shaft end machining | |
| Please contact the salesman for details | |
Company Profile
ALM originally established in year of 2005.From a small factory,ALM nowadays own factory 7000 square meters,109 employees.Above 8 technical engineers are with over 20 years’ experience in linear motion filed.
With the products covering more than 72 countries in Europe,North America,South Asia,Middle East,Africa,Latin America and Australia,New Zealand etc.With super quality and service,ALM has been widely recognized and highly valued by its high-end and picky customers,and thus remains at the top of their vendor lists.In year of 2016,our Dr team carryied out new innovation linear motor testing.
ALM key production machines are imported,like high precision CNC grinding machine,3 axis,4 axis machining centre,internal and external grinding centre,CNC lathe.With advanced production management enables ALM obtain the quality certificate ISO9001:2008 and IATF16949.The R&D achievements over many years bring ALM more than 26 national patents.
ALM’s office
ALM’s workshop
ALM product processing
ALM’s warehouse
ALM product show
Customer Visit
Certifications
Patent Certificate for invention and utility model
ISO certificate
FAQ
1.Why can ALM be your better option for linear motion components?
We ALM is a professional manufacturer of ball screws,lead screws,linear modules,linear guideways,linear motors for more than 16 years in China.
2.How to Custom-made?
Step1:Send us your drawing for checking.We will check the production feasibility.Our specially trained engineers will help you find out the best solution based on rich projects experience.
Step2:We make our production drawing for your checking to avoid misunderstanding.And to ensure each dimensions comply with your requirements.
Step3:Prepare for sample
Step4:After samples approved on your prototype.Move to mass production
3.When can I get the quotation?
We usually quote within 24 hours after we get your inquiry.If you are very urgent to get the price,please call us or tell us in your email so that we will regard your inquiry priority.
4.How to arrange the delivery of the products?
(1)Sample order:We have DHL,FedEx,UPS VIP account with discount.So you can get favorable shipping freight.
(2)Bulk order:We have freight forwarder to ship by air,by train or by sea.You can also arrange shipping through your own agent.
5.How to Pay?
LC,T/T,D/P,PayPal,Western Union,Money Gram
| Material: | Bearing Steel,Stainless Steel |
|---|---|
| Type: | Slf |
| Cerficate: | ISO9001,CE Certificated and RoHS Compliance |
| Industry Experience: | 16 Years |
| Clearance: | 7e,Higher Precision Is Available Upon Request |
| Application: | Automation Equipment |
| Customization: |
Available
| Customized Request |
|---|
The Different Types of Splines in a Splined Shaft
A splined shaft is a machine component with internal and external splines. The splines are formed in four different ways: Involute, Parallel, Serrated, and Ball. You can learn more about each type of spline in this article. When choosing a splined shaft, be sure to choose the right one for your application. Read on to learn about the different types of splines and how they affect the shaft’s performance.
Involute splines
Involute splines in a splined shaft are used to secure and extend mechanical assemblies. They are smooth, inwardly curving grooves that resist separation during operation. A shaft with involute splines is often longer than the shaft itself. This feature allows for more axial movement. This is beneficial for many applications, especially in a gearbox.
The involute spline is a shaped spline, similar to a parallel spline. It is angled and consists of teeth that create a spiral pattern that enables linear and rotatory motion. It is distinguished from other splines by the serrations on its flanks. It also has a flat top. It is a good option for couplers and other applications where angular movement is necessary.
Involute splines are also called involute teeth because of their shape. They are flat on the top and curved on the sides. These teeth can be either internal or external. As a result, involute splines provide greater surface contact, which helps reduce stress and fatigue. Regardless of the shape, involute splines are generally easy to machine and fit.
Involute splines are a type of splines that are used in splined shafts. These splines have different names, depending on their diameters. An example set of designations is for a 32-tooth male spline, a 2,500-tooth module, and a 30 degree pressure angle. An example of a female spline, a fillet root spline, is used to describe the diameter of the splined shaft.
The effective tooth thickness of splines is dependent on the number of keyways and the type of spline. Involute splines in splined shafts should be designed to engage 25 to 50 percent of the spline teeth during the coupling. Involute splines should be able to withstand the load without cracking.
Parallel splines
Parallel splines are formed on a splined shaft by putting one or more teeth into another. The male spline is positioned at the center of the female spline. The teeth of the male spline are also parallel to the shaft axis, but a common misalignment causes the splines to roll and tilt. This is common in many industrial applications, and there are a number of ways to improve the performance of splines.
Typically, parallel splines are used to reduce friction in a rotating part. The splines on a splined shaft are narrower on the end face than the interior, which makes them more prone to wear. This type of spline is used in a variety of industries, such as machinery, and it also allows for greater efficiency when transmitting torque.
Involute splines on a splined shaft are the most common. They have equally spaced teeth, and are therefore less likely to crack due to fatigue. They also tend to be easy to cut and fit. However, they are not the best type of spline. It is important to understand the difference between parallel and involute splines before deciding on which spline to use.
The difference between splined and involute splines is the size of the grooves. Involute splines are generally larger than parallel splines. These types of splines provide more torque to the gear teeth and reduce stress during operation. They are also more durable and have a longer life span. And because they are used on farm machinery, they are essential in this type of application.
Serrated splines
A Serrated Splined Shaft has several advantages. This type of shaft is highly adjustable. Its large number of teeth allows large torques, and its shorter tooth width allows for greater adjustment. These features make this type of shaft an ideal choice for applications where accuracy is critical. Listed below are some of the benefits of this type of shaft. These benefits are just a few of the advantages. Learn more about this type of shaft.
The process of hobbing is inexpensive and highly accurate. It is useful for external spline shafts, but is not suitable for internal splines. This type of process forms synchronized shapes on the shaft, reducing the manufacturing cycle and stabilizing the relative phase between spline and thread. It uses a grinding wheel to shape the shaft. CZPT Manufacturing has a large inventory of Serrated Splined Shafts.
The teeth of a Serrated Splined Shaft are designed to engage with the hub over the entire circumference of the shaft. The teeth of the shaft are spaced uniformly around the spline, creating a multiple-tooth point of contact over the entire length of the shaft. The results of these analyses are usually satisfactory. But there are some limitations. To begin with, the splines of the Serrated Splined Shaft should be chosen carefully. If the application requires large-scale analysis, it may be necessary to modify the design.
The splines of the Serrated Splined Shaft are also used for other purposes. They can be used to transmit torque to another device. They also act as an anti-rotational device and function as a linear guide. Both the design and the type of splines determine the function of the Splined Shaft. In the automobile industry, they are used in vehicles, aerospace, earth-moving machinery, and many other industries.
Ball splines
The invention relates to a ball-spinned shaft. The shaft comprises a plurality of balls that are arranged in a series and are operatively coupled to a load path section. The balls are capable of rolling endlessly along the path. This invention also relates to a ball bearing. Here, a ball bearing is one of the many types of gears. The following discussion describes the features of a ball bearing.
A ball-splined shaft assembly comprises a shaft with at least one ball-spline groove and a plurality of circumferential step grooves. The shaft is held in a first holding means that extends longitudinally and is rotatably held by a second holding means. Both the shaft and the first holding means are driven relative to one another by a first driving means. It is possible to manufacture a ball-splined shaft in a variety of ways.
A ball-splined shaft features a nut with recirculating balls. The ball-splined nut rides in these grooves to provide linear motion while preventing rotation. A splined shaft with a nut that has recirculating balls can also provide rotary motion. A ball splined shaft also has higher load capacities than a ball bushing. For these reasons, ball splines are an excellent choice for many applications.
In this invention, a pair of ball-spinned shafts are housed in a box under a carrier device 40. Each of the two shafts extends along a longitudinal line of arm 50. One end of each shaft is supported rotatably by a slide block 56. The slide block also has a support arm 58 that supports the center arm 50 in a cantilever fashion.
Sector no-go gage
A no-go gauge is a tool that checks the splined shaft for oversize. It is an effective way to determine the oversize condition of a splined shaft without removing the shaft. It measures external splines and serrations. The no-go gage is available in sizes ranging from 19mm to 130mm with a 25mm profile length.
The sector no-go gage has two groups of diametrally opposed teeth. The space between them is manufactured to a maximum space width and the tooth thickness must be within a predetermined tolerance. This gage would be out of tolerance if the splines were measured with a pin. The dimensions of this splined shaft can be found in the respective ANSI or DIN standards.
The go-no-go gage is useful for final inspection of thread pitch diameter. It is also useful for splined shafts and threaded nuts. The thread of a screw must match the contour of the go-no-go gage head to avoid a no-go condition. There is no substitute for a quality machine. It is an essential tool for any splined shaft and fastener manufacturer.
The NO-GO gage can detect changes in tooth thickness. It can be calibrated under ISO17025 standards and has many advantages over a non-go gage. It also gives a visual reference of the thickness of a splined shaft. When the teeth match, the shaft is considered ready for installation. It is a critical process. In some cases, it is impossible to determine the precise length of the shaft spline.
The 45-degree pressure angle is most commonly used for axles and torque-delivering members. This pressure angle is the most economical in terms of tool life, but the splines will not roll neatly like a 30 degree angle. The 45-degree spline is more likely to fall off larger than the other two. Oftentimes, it will also have a crowned look. The 37.5 degree pressure angle is a compromise between the other two pressure angles. It is often used when the splined shaft material is harder than usual.
editor by CX 2023-04-19
China Hot Sale 100cr6 Material Solid 60mm Ball Spline Shaft for CNC Machine drive shaft adapter
Solution Description
Item Description
The spline is a variety of linear motion method. When spline motions along the precision floor Shaft by balls, the torque is transferred. The spline has compact structure. It can transfer the In excess of load and motive electricity. It has lengthier life time. At existing the manufacturing unit manufacture 2 kinds of spline, specifically convex spline and concave spline. Normally the convex spline can just take bigger radial load and torque than concave spline.
| Product title | Ball spline |
| Product | GJZ,GJZA,GJF,GJH,GJZG,GJFG, |
| Dia | 15mm-150mm |
| Materials | Bearing Steel |
| Precision Course | Normal/ Large/ Precise |
| Package | Plastic bag, box, carton |
| MOQ | 1pc |
Ball sort:φ16-φ250
Large speed , high accuracy
Hefty load , lengthy lifestyle
Versatile movement,lower power use
High movement speed
Heavy load and prolonged services lifestyle
Applicationgs:semiconductor tools,tire machinery,monocrystalline silicon furnace,health care rehabilitation products
Product Parameters
Composition
Scope of software
Semiconductor products,tire equipment,monocrystalline silicon furnace,medical rehabilitation tools.
FFZ size
| Code and sort | Nominal axial dia. d |
Exterior dia. D |
Length of spline nut Lone |
Max. size of shaft L |
Common rated torque | Simple rated load | ||
| Dynamic torsion N-m |
Stationary torsion N-m |
Dynamic load C kN |
Static load C kN |
|||||
| GJZG16 / GJFG16 | 16 | 31 | 50 | five hundred | 32 | 30 | seven.five | fifteen.six |
| GJZG20 / GJFG20 | twenty | 35 | sixty three | 600 | 55 | fifty five | ten.one | 24.seven |
| GJZG25 / GJFG25 | 25 | 42 | seventy one | 800 | 103 | one hundred and five | 13.seven | thirty.one |
| GJZG30 / GJFG30 | thirty | 48 | 80 | 1400 | 148 | 171 | 17.1 | 37.one |
| GJZG40 / GJFG40 | forty | sixty four | 100 | 1500 | 375 | 415 | 32.one | 70.2 |
| GJZG50 / GJFG50 | 50 | 80 | one hundred twenty five | 1500 | 760 | 840 | 49.four | 104.nine |
| GJZG60 / GJFG60 | sixty | 90 | one hundred forty | 1500 | 1040 | 1220 | sixty four.2 | 128.two |
| GJZG80 / GJFG80 | eighty | one hundred twenty | 160 | 1700 | 1920 | 2310 | 87.three | one hundred seventy.7 |
| GJZG100/ GJFG100 | a hundred | a hundred and fifty | a hundred ninety | 1900 | 3571 | 3730 | 109.nine | 222 |
| GJZG120 / GJFG120 | one hundred twenty | one hundred eighty | 220 | 1900 | 4100 | 5200 | 176.5 | 347 |
If you have any needs,pls feel free to speak to us and we will send out you our catalog for reference.
Primary Merchandise
Company Profile
Consumer Opinions
FAQ
1. Why select AZI China?
With much more than 60 years of generation expertise, good quality assurance,manufacturing facility straight price.
two. What is your primary products ?
Our Primary goods are consist of ball screw,linear information,arc linear information,ball spline and ball screw linear guidebook rail module.
3. How to Custom-created (OEM/ODM)?
If you have a item drawing or a sample, make sure you send out to us, and we can personalized-made the as your essential. We will also provide our expert advices of the products to make the design and style to be a lot more realized & optimize the performance.
4. When can I get the quotation?
We usually quote in 24 several hours right after we get your inquiry. If you are really urgent to get the price,remember to contact us or explain to us in your electronic mail so that we will regard your inquiry priority.
five. How can I get a sample to check out the top quality?
We estimate in accordance to your drawing, the price tag is suitable, CZPT the sample list.
six. What‘s your payment phrases?
Our payment phrases is 30% deposit,balance against receiving duplicate of B/L or L/C sight.
| Material: | Gcr15 |
|---|---|
| Load: | Customized |
| Stiffness & Flexibility: | Stiffness / Rigid Axle |
| Journal Diameter Dimensional Accuracy: | Customized |
| Transport Package: | Cartons or Wooden Box |
| Specification: | 16-120 |
###
| Samples: |
US$ 10/Set
1 Set(Min.Order) |
|---|
###
| Customization: |
Available
|
|---|
###
| Product name | Ball spline |
| Model | GJZ,GJZA,GJF,GJH,GJZG,GJFG, |
| Dia | 15mm-150mm |
| Material | Bearing Steel |
| Precision Class | Normal/ High/ Precise |
| Package | Plastic bag, box, carton |
| MOQ | 1pc |
###
| Code and type | Nominal axial dia. d0 |
External dia. D |
Length of spline nut L1 |
Max. length of shaft L |
Standard rated torque | Basic rated load | ||
| Dynamic torsion N-m |
Stationary torsion N-m |
Dynamic load C kN |
Static load C0 kN |
|||||
| GJZG16 / GJFG16 | 16 | 31 | 50 | 500 | 32 | 30 | 7.5 | 15.6 |
| GJZG20 / GJFG20 | 20 | 35 | 63 | 600 | 55 | 55 | 10.1 | 24.7 |
| GJZG25 / GJFG25 | 25 | 42 | 71 | 800 | 103 | 105 | 13.7 | 30.1 |
| GJZG30 / GJFG30 | 30 | 48 | 80 | 1400 | 148 | 171 | 17.1 | 37.1 |
| GJZG40 / GJFG40 | 40 | 64 | 100 | 1500 | 375 | 415 | 32.1 | 70.2 |
| GJZG50 / GJFG50 | 50 | 80 | 125 | 1500 | 760 | 840 | 49.4 | 104.9 |
| GJZG60 / GJFG60 | 60 | 90 | 140 | 1500 | 1040 | 1220 | 64.2 | 128.2 |
| GJZG80 / GJFG80 | 80 | 120 | 160 | 1700 | 1920 | 2310 | 87.3 | 170.7 |
| GJZG100/ GJFG100 | 100 | 150 | 190 | 1900 | 3010 | 3730 | 109.9 | 222 |
| GJZG120 / GJFG120 | 120 | 180 | 220 | 1900 | 4100 | 5200 | 176.5 | 347 |
| Material: | Gcr15 |
|---|---|
| Load: | Customized |
| Stiffness & Flexibility: | Stiffness / Rigid Axle |
| Journal Diameter Dimensional Accuracy: | Customized |
| Transport Package: | Cartons or Wooden Box |
| Specification: | 16-120 |
###
| Samples: |
US$ 10/Set
1 Set(Min.Order) |
|---|
###
| Customization: |
Available
|
|---|
###
| Product name | Ball spline |
| Model | GJZ,GJZA,GJF,GJH,GJZG,GJFG, |
| Dia | 15mm-150mm |
| Material | Bearing Steel |
| Precision Class | Normal/ High/ Precise |
| Package | Plastic bag, box, carton |
| MOQ | 1pc |
###
| Code and type | Nominal axial dia. d0 |
External dia. D |
Length of spline nut L1 |
Max. length of shaft L |
Standard rated torque | Basic rated load | ||
| Dynamic torsion N-m |
Stationary torsion N-m |
Dynamic load C kN |
Static load C0 kN |
|||||
| GJZG16 / GJFG16 | 16 | 31 | 50 | 500 | 32 | 30 | 7.5 | 15.6 |
| GJZG20 / GJFG20 | 20 | 35 | 63 | 600 | 55 | 55 | 10.1 | 24.7 |
| GJZG25 / GJFG25 | 25 | 42 | 71 | 800 | 103 | 105 | 13.7 | 30.1 |
| GJZG30 / GJFG30 | 30 | 48 | 80 | 1400 | 148 | 171 | 17.1 | 37.1 |
| GJZG40 / GJFG40 | 40 | 64 | 100 | 1500 | 375 | 415 | 32.1 | 70.2 |
| GJZG50 / GJFG50 | 50 | 80 | 125 | 1500 | 760 | 840 | 49.4 | 104.9 |
| GJZG60 / GJFG60 | 60 | 90 | 140 | 1500 | 1040 | 1220 | 64.2 | 128.2 |
| GJZG80 / GJFG80 | 80 | 120 | 160 | 1700 | 1920 | 2310 | 87.3 | 170.7 |
| GJZG100/ GJFG100 | 100 | 150 | 190 | 1900 | 3010 | 3730 | 109.9 | 222 |
| GJZG120 / GJFG120 | 120 | 180 | 220 | 1900 | 4100 | 5200 | 176.5 | 347 |
What Are the Advantages of a Splined Shaft?
If you are looking for the right splined shaft for your machine, you should know a few important things. First, what type of material should be used? Stainless steel is usually the most appropriate choice, because of its ability to offer low noise and fatigue failure. Secondly, it can be machined using a slotting or shaping machine. Lastly, it will ensure smooth motion. So, what are the advantages of a splined shaft?
Stainless steel is the best material for splined shafts
When choosing a splined shaft, you should consider its hardness, quality, and finish. Stainless steel has superior corrosion and wear resistance. Carbon steel is another good material for splined shafts. Carbon steel has a shallow carbon content (about 1.7%), which makes it more malleable and helps ensure smooth motion. But if you’re not willing to spend the money on stainless steel, consider other options.
There are two main types of splines: parallel splines and crowned splines. Involute splines have parallel grooves and allow linear and rotary motion. Helical splines have involute teeth and are oriented at an angle. This type allows for many teeth on the shaft and minimizes the stress concentration in the stationary joint.
Large evenly spaced splines are widely used in hydraulic systems, drivetrains, and machine tools. They are typically made from carbon steel (CR10) and stainless steel (AISI 304). This material is durable and meets the requirements of ISO 14-B, formerly DIN 5463-B. Splined shafts are typically made of stainless steel or C45 steel, though there are many other materials available.
Stainless steel is the best material for a splined shaft. This metal is also incredibly affordable. In most cases, stainless steel is the best choice for these shafts because it offers the best corrosion resistance. There are many different types of splined shafts, and each one is suited for a particular application. There are also many different types of stainless steel, so choose stainless steel if you want the best quality.
For those looking for high-quality splined shafts, CZPT Spline Shafts offer many benefits. They can reduce costs, improve positional accuracy, and reduce friction. With the CZPT TFE coating, splined shafts can reduce energy and heat buildup, and extend the life of your products. And, they’re easy to install – all you need to do is install them.
They provide low noise, low wear and fatigue failure
The splines in a splined shaft are composed of two main parts: the spline root fillet and the spline relief. The spline root fillet is the most critical part, because fatigue failure starts there and propagates to the relief. The spline relief is more susceptible to fatigue failure because of its involute tooth shape, which offers a lower stress to the shaft and has a smaller area of contact.
The fatigue life of splined shafts is determined by measuring the S-N curve. This is also known as the Wohler curve, and it is the relationship between stress amplitude and number of cycles. It depends on the material, geometry and way of loading. It can be obtained from a physical test on a uniform material specimen under a constant amplitude load. Approximations for low-alloy steel parts can be made using a lower-alloy steel material.
Splined shafts provide low noise, minimal wear and fatigue failure. However, some mechanical transmission elements need to be removed from the shaft during assembly and manufacturing processes. The shafts must still be capable of relative axial movement for functional purposes. As such, good spline joints are essential to high-quality torque transmission, minimal backlash, and low noise. The major failure modes of spline shafts include fretting corrosion, tooth breakage, and fatigue failure.
The outer disc carrier spline is susceptible to tensile stress and fatigue failure. High customer demands for low noise and low wear and fatigue failure makes splined shafts an excellent choice. A fractured spline gear coupling was received for analysis. It was installed near the top of a filter shaft and inserted into the gearbox motor. The service history was unknown. The fractured spline gear coupling had longitudinally cracked and arrested at the termination of the spline gear teeth. The spline gear teeth also exhibited wear and deformation.
A new spline coupling method detects fault propagation in hollow cylindrical splined shafts. A spline coupling is fabricated using an AE method with the spline section unrolled into a metal plate of the same thickness as the cylinder wall. In addition, the spline coupling is misaligned, which puts significant concentration on the spline teeth. This further accelerates the rate of fretting fatigue and wear.
A spline joint should be lubricated after 25 hours of operation. Frequent lubrication can increase maintenance costs and cause downtime. Moreover, the lubricant may retain abrasive particles at the interfaces. In some cases, lubricants can even cause misalignment, leading to premature failure. So, the lubrication of a spline coupling is vital in ensuring proper functioning of the shaft.
The design of a spline coupling can be optimized to enhance its wear resistance and reliability. Surface treatments, loads, and rotation affect the friction properties of a spline coupling. In addition, a finite element method was developed to predict wear of a floating spline coupling. This method is feasible and provides a reliable basis for predicting the wear and fatigue life of a spline coupling.
They can be machined using a slotting or shaping machine
Machines can be used to shape splined shafts in a variety of industries. They are useful in many applications, including gearboxes, braking systems, and axles. A slotted shaft can be manipulated in several ways, including hobbling, broaching, and slotting. In addition to shaping, splines are also useful in reducing bar diameter.
When using a slotting or shaping machine, the workpiece is held against a pedestal that has a uniform thickness. The machine is equipped with a stand column and limiting column (Figure 1), each positioned perpendicular to the upper surface of the pedestal. The limiting column axis is located on the same line as the stand column. During the slotting or shaping process, the tool is fed in and out until the desired space is achieved.
One process involves cutting splines into a shaft. Straddle milling, spline shaping, and spline cutting are two common processes used to create splined shafts. Straddle milling involves a fixed indexing fixture that holds the shaft steady, while rotating milling cutters cut the groove in the length of the shaft. Several passes are required to ensure uniformity throughout the spline.
Splines are a type of gear. The ridges or teeth on the drive shaft mesh with grooves in the mating piece. A splined shaft allows the transmission of torque to a mate piece while maximizing the power transfer. Splines are used in heavy vehicles, construction, agriculture, and massive earthmoving machinery. Splines are used in virtually every type of rotary motion, from axles to transmission systems. They also offer better fatigue life and reliability.
Slotting or shaping machines can also be used to shape splined shafts. Slotting machines are often used to machine splined shafts, because it is easier to make them with these machines. Using a slotting or shaping machine can result in splined shafts of different sizes. It is important to follow a set of spline standards to ensure your parts are manufactured to the highest standards.
A milling machine is another option for producing splined shafts. A spline shaft can be set up between two centers in an indexing fixture. Two side milling cutters are mounted on an arbor and a spacer and shims are inserted between them. The arbor and cutters are then mounted to a milling machine spindle. To make sure the cutters center themselves over the splined shaft, an adjustment must be made to the spindle of the machine.
The machining process is very different for internal and external splines. External splines can be broached, shaped, milled, or hobbed, while internal splines cannot. These machines use hard alloy, but they are not as good for internal splines. A machine with a slotting mechanism is necessary for these operations.
editor by czh 2023-04-03
China Forging Brand Shaft for Ball Screw Spline High Sensitivity Rotation Zero Angle Clearance Ball Spline a line drive shaft
Merchandise Description
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Materials |
20CrMn5,20CrMnTi,40Cr,Powder deposit,45#metal,42CrMo,Stainless metal and so on as for every your requests. |
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Custom made |
OEM/ODM |
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Guide Time |
Sample: twenty-30 times after deposit gained, Batch merchandise: 30-45days right after samples have been authorized. Die opening product:7-15days following samples have been accredited.It takes 45-sixty times to open the mold. |
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Processing |
Forging,Machining,Hobbing,Milling,Shaving,Grinding enamel, inserting enamel, shot blasting, Grinding,Warmth therapy…… |
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Heat Therapy |
Intermediate frequency, high frequency, tempering, desalinating, carburizing…… |
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Main Devices |
CNC equipment hobbing equipment, CNC equipment reducing device, CNC lathe, CNC gear shaving machine, CNC equipment milling device, CNC gear grinding equipment, CNC Grinding Machine…. |
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Ruika has been engaged in producing of forgings, castings, heat therapy and CNC machining areas because 1999.
The goods materials have passed EN15714-3.1 certification, masking various grades of: lower carbon metal, alloy steel, stainless metal, ductile iron, aluminum alloy, copper alloy, titanium alloy.
The primary procedures are: cost-free forging, die forging, rolling ring, substantial pressure casting, centrifugal casting, normalizing, quenching and tempering, remedy treatment method, aging treatment method, carbonitriding, turning, milling, drilling, grinding, hobbing, high frequency quenching, galvanizing, chrome plating, anodizing, powder spraying and other processes.
Rings and plates dimensions: Max 3000mm, shafts duration: Max 12000mm, one piece bodyweight: Max sixteen Tons, at the identical time we are great at terminal machining of intricate goods, dimension accuracy: Min .01mm, roughness: Min Ra0.6.
Items can be strictly examined by chemical composition, tensile power, yield power, reduction of region, affect at low temperature, intergranular corrosion, hardness, metallographic, NDT, size, static balance etc overall performance parameter.
Items are extensively utilized in: aerospace, ships, trains, cars, engineering vehicles, chemical business and petroleum refining, wellheads, x-mas tree products, mining equipment, foodstuff equipment, hydraulic and wind energy era, new strength equipment and so on area.
Welcome to send: PDF, IGS, STP and other format drawings, of training course we could also make substance judgment and dimensions study according to your samples.
With much more than 20 many years of production knowledge and overseas revenue staff, we have reached 100% client pleasure. The guarantee time period of goods bought is 365 days. We seem CZPT to your consultation and cooperation at any time and frequent prosperity advancement.
| Application: | Motor, Electric Cars, Motorcycle, Machinery, Marine, Toy, Agricultural Machinery, Car |
|---|---|
| Hardness: | Soft Tooth Surface |
| Gear Position: | Internal Gear |
| Manufacturing Method: | Rolling Gear |
| Toothed Portion Shape: | Spur Gear |
| Material: | Cast Steel |
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| Samples: |
US$ 200/Piece
1 Piece(Min.Order) |
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| Customization: |
Available
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###
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Material
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20CrMn5,20CrMnTi,40Cr,Powder deposit,45#steel,42CrMo,Stainless steel and so on as per your requests.
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Custom
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OEM/ODM
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Lead Time
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Sample: 20-30 days after deposit received, Batch goods: 30-45days after samples have been approved. Die opening product:7-15days after samples have been approved.It takes 45-60 days to open the mold.
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Processing
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Forging,Machining,Hobbing,Milling,Shaving,Grinding teeth, inserting teeth, shot blasting, Grinding,Heat treatment……
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Heat Treatment
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Intermediate frequency, high frequency, tempering, desalinating, carburizing……
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Main Machines
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CNC gear hobbing machine, CNC gear cutting machine, CNC lathe, CNC gear shaving machine, CNC gear milling machine, CNC gear grinding machine, CNC Grinding Machine….
.. |
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| Application: | Motor, Electric Cars, Motorcycle, Machinery, Marine, Toy, Agricultural Machinery, Car |
|---|---|
| Hardness: | Soft Tooth Surface |
| Gear Position: | Internal Gear |
| Manufacturing Method: | Rolling Gear |
| Toothed Portion Shape: | Spur Gear |
| Material: | Cast Steel |
###
| Samples: |
US$ 200/Piece
1 Piece(Min.Order) |
|---|
###
| Customization: |
Available
|
|---|
###
|
Material
|
20CrMn5,20CrMnTi,40Cr,Powder deposit,45#steel,42CrMo,Stainless steel and so on as per your requests.
|
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Custom
|
OEM/ODM
|
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Lead Time
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Sample: 20-30 days after deposit received, Batch goods: 30-45days after samples have been approved. Die opening product:7-15days after samples have been approved.It takes 45-60 days to open the mold.
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Processing
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Forging,Machining,Hobbing,Milling,Shaving,Grinding teeth, inserting teeth, shot blasting, Grinding,Heat treatment……
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Heat Treatment
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Intermediate frequency, high frequency, tempering, desalinating, carburizing……
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Main Machines
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CNC gear hobbing machine, CNC gear cutting machine, CNC lathe, CNC gear shaving machine, CNC gear milling machine, CNC gear grinding machine, CNC Grinding Machine….
.. |
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Applications of Spline Couplings
A spline coupling is a highly effective means of connecting two or more components. These types of couplings are very efficient, as they combine linear motion with rotation, and their efficiency makes them a desirable choice in numerous applications. Read on to learn more about the main characteristics and applications of spline couplings. You will also be able to determine the predicted operation and wear. You can easily design your own couplings by following the steps outlined below.
Optimal design
The spline coupling plays an important role in transmitting torque. It consists of a hub and a shaft with splines that are in surface contact without relative motion. Because they are connected, their angular velocity is the same. The splines can be designed with any profile that minimizes friction. Because they are in contact with each other, the load is not evenly distributed, concentrating on a small area, which can deform the hub surface.
Optimal spline coupling design takes into account several factors, including weight, material characteristics, and performance requirements. In the aeronautics industry, weight is an important design factor. S.A.E. and ANSI tables do not account for weight when calculating the performance requirements of spline couplings. Another critical factor is space. Spline couplings may need to fit in tight spaces, or they may be subject to other configuration constraints.
Optimal design of spline couplers may be characterized by an odd number of teeth. However, this is not always the case. If the external spline’s outer diameter exceeds a certain threshold, the optimal spline coupling model may not be an optimal choice for this application. To optimize a spline coupling for a specific application, the user may need to consider the sizing method that is most appropriate for their application.
Once a design is generated, the next step is to test the resulting spline coupling. The system must check for any design constraints and validate that it can be produced using modern manufacturing techniques. The resulting spline coupling model is then exported to an optimisation tool for further analysis. The method enables a designer to easily manipulate the design of a spline coupling and reduce its weight.
The spline coupling model 20 includes the major structural features of a spline coupling. A product model software program 10 stores default values for each of the spline coupling’s specifications. The resulting spline model is then calculated in accordance with the algorithm used in the present invention. The software allows the designer to enter the spline coupling’s radii, thickness, and orientation.
Characteristics
An important aspect of aero-engine splines is the load distribution among the teeth. The researchers have performed experimental tests and have analyzed the effect of lubrication conditions on the coupling behavior. Then, they devised a theoretical model using a Ruiz parameter to simulate the actual working conditions of spline couplings. This model explains the wear damage caused by the spline couplings by considering the influence of friction, misalignment, and other conditions that are relevant to the splines’ performance.
In order to design a spline coupling, the user first inputs the design criteria for sizing load carrying sections, including the external spline 40 of the spline coupling model 30. Then, the user specifies torque margin performance requirement specifications, such as the yield limit, plastic buckling, and creep buckling. The software program then automatically calculates the size and configuration of the load carrying sections and the shaft. These specifications are then entered into the model software program 10 as specification values.
Various spline coupling configuration specifications are input on the GUI screen 80. The software program 10 then generates a spline coupling model by storing default values for the various specifications. The user then can manipulate the spline coupling model by modifying its various specifications. The final result will be a computer-aided design that enables designers to optimize spline couplings based on their performance and design specifications.
The spline coupling model software program continually evaluates the validity of spline coupling models for a particular application. For example, if a user enters a data value signal corresponding to a parameter signal, the software compares the value of the signal entered to the corresponding value in the knowledge base. If the values are outside the specifications, a warning message is displayed. Once this comparison is completed, the spline coupling model software program outputs a report with the results.
Various spline coupling design factors include weight, material properties, and performance requirements. Weight is one of the most important design factors, particularly in the aeronautics field. ANSI and S.A.E. tables do not consider these factors when calculating the load characteristics of spline couplings. Other design requirements may also restrict the configuration of a spline coupling.
Applications
Spline couplings are a type of mechanical joint that connects two rotating shafts. Its two parts engage teeth that transfer load. Although splines are commonly over-dimensioned, they are still prone to fatigue and static behavior. These properties also make them prone to wear and tear. Therefore, proper design and selection are vital to minimize wear and tear on splines. There are many applications of spline couplings.
A key design is based on the size of the shaft being joined. This allows for the proper spacing of the keys. A novel method of hobbing allows for the formation of tapered bases without interference, and the root of the keys is concentric with the axis. These features enable for high production rates. Various applications of spline couplings can be found in various industries. To learn more, read on.
FE based methodology can predict the wear rate of spline couplings by including the evolution of the coefficient of friction. This method can predict fretting wear from simple round-on-flat geometry, and has been calibrated with experimental data. The predicted wear rate is reasonable compared to the experimental data. Friction evolution in spline couplings depends on the spline geometry. It is also crucial to consider the lubrication condition of the splines.
Using a spline coupling reduces backlash and ensures proper alignment of mated components. The shaft’s splined tooth form transfers rotation from the splined shaft to the internal splined member, which may be a gear or other rotary device. A spline coupling’s root strength and torque requirements determine the type of spline coupling that should be used.
The spline root is usually flat and has a crown on one side. The crowned spline has a symmetrical crown at the centerline of the face-width of the spline. As the spline length decreases toward the ends, the teeth are becoming thinner. The tooth diameter is measured in pitch. This means that the male spline has a flat root and a crowned spline.
Predictability
Spindle couplings are used in rotating machinery to connect two shafts. They are composed of two parts with teeth that engage each other and transfer load. Spline couplings are commonly over-dimensioned and are prone to static and fatigue behavior. Wear phenomena are also a common problem with splines. To address these issues, it is essential to understand the behavior and predictability of these couplings.
Dynamic behavior of spline-rotor couplings is often unclear, particularly if the system is not integrated with the rotor. For example, when a misalignment is not present, the main response frequency is one X-rotating speed. As the misalignment increases, the system starts to vibrate in complex ways. Furthermore, as the shaft orbits depart from the origin, the magnitudes of all the frequencies increase. Thus, research results are useful in determining proper design and troubleshooting of rotor systems.
The model of misaligned spline couplings can be obtained by analyzing the stress-compression relationships between two spline pairs. The meshing force model of splines is a function of the system mass, transmitting torque, and dynamic vibration displacement. This model holds when the dynamic vibration displacement is small. Besides, the CZPT stepping integration method is stable and has high efficiency.
The slip distributions are a function of the state of lubrication, coefficient of friction, and loading cycles. The predicted wear depths are well within the range of measured values. These predictions are based on the slip distributions. The methodology predicts increased wear under lightly lubricated conditions, but not under added lubrication. The lubrication condition and coefficient of friction are the key factors determining the wear behavior of splines.
editor by czh 2023-03-24
China Yigong China 25mm ball spline shaft GJZ25 replaced Hiwin ball spline drive shaft components
Situation: New
Guarantee: 1.5 years
Applicable Industries: Lodges, Garment Retailers, Constructing Content Outlets, Production Plant, Machinery Restore Retailers, Foods & Beverage Factory, Farms, Restaurant, Residence Use, Retail, Foods Shop, Printing Outlets, Personalized fabrication anodic oxidation Ab muscles Personal computer PMMA cnc prototype for american auto parts bushings Design works , Power & Mining, Foods & Beverage Stores, Advertising Company
Bodyweight (KG): three
Showroom Spot: None
Video clip outgoing-inspection: Offered
Machinery Take a look at Report: Provided
Marketing and advertising Sort: Common Solution
Warranty of main parts: 5 a long time
Core Parts: Ball spline shaft, Ball spline nut, Steel ball
Framework: Spline
Materials: Hrc58
Coatings: Other
Torque Ability: Custom made-Producing
Product Amount: GJZ25
Application: Industrial Products
Procedure: Forging+machining+heating Treatment
Surface area Remedy: Chrome Plating
Dimension: Personalized Dimension
Service: OEM ODM Solutions
Diameter: Customer’s Actual Implementing Requirement
Shipping and delivery time: Mass Manufacturing: fifteen~30 Times
Duration: 50mm – 6000mm / Customized
Item name: Ball spline
Drawing Format: CAD
Packaging Information: Paper and wooden box for OEM and ODM distinct Ball Spline shaft duration.
Port: ZheJiang
Items Description Precision linear movement spline seriesThe spline is a kind of linear motion program. When spline motions alongside the precision ground Shaft by balls, the torque is transferred. The spline has compact construction. It can transfer the More than load and motive electrical power. It has more time life time.At existing the factory manufacture 2 types of spline, namely convex spline and concave spline. Normally the convex spline can get bigger radial load and torque than concave spline. Ball sort:φ16-φ250High pace , large accuracyHeavy load , lengthy lifeFlexible motion, SWL Sequence Screw Jack Lift Table Electric powered Worm Mechanical Varieties Of Screw Jack Desk Lifting Gear Speed Reducer minimal strength consumptionHigh motion speedHeavy load and prolonged provider lifeApplicationgs:semiconductor gear,tire equipment,monocrystalline silicon furnace,health-related rehabilitation products Item Specifications
| GJZ Convex type | ||||||||||
| Spec. | GJZ15 | GJZ20 | GJZ25 | GJZ30 | GJZ32 | |||||
| Nominal axial dia.d0 | 15 | 20 | 25 | 30 | 32 | |||||
| External dia.D | 571 -.013 | 030 -.013 | 038-.016 | 045-.016 | 048-.016 | |||||
| Length of spline nutL1 | 040 -.013 | 050-.3 | 060-.3 | 070-.three | 070-.3 | |||||
| Max. length of shaft L | 400 | 600 | 800 | 1400 | 1400 | |||||
| Width of slot grooveb | 3.5H8 | 4H8 | 5H8 | 6H8 | 8H8 | |||||
| Depth of slot groovet | 02 -.three | +.twelve.50 | +.230 | +.230 | +.240 | |||||
| Length of slot grooveI | 20 | 26 | 36 | 40 | 40 | |||||
| Oil holed | 2 | 3 | 3 | 3 | 3 | |||||
| Dynamic torsionN-m | 27.8 | 62.3 | 127.three | 155.7 | 236.4 | |||||
| Stationary torsionN-m | 65.two | 135.2 | 268.three | 318.seven | 459.nine | |||||
| Dynamic loadC KN | 3.nine | 6.six | 10.nine | 11.1 | 15.eight | |||||
| Static loadC KN | 8.1 | 12.seven | 20.2 | 20 | 27.1 | |||||
| GJZ Convex variety | ||||||||||
| Spec. | GJZ40 | GJZ50 | GJZ70 | GJZ85 | GJZ100 | |||||
| Nominal axial dia. d0 | 40 | 50 | 70 | 85 | 100 | |||||
| External dia.D | 060-.019 | 075-.019 | 5710-.571 | 0120-.571 | 0140-.571 | |||||
| Length of spline nut L1 | 090-.3 | 5710-.3 | 0110-.3 | 0140-.three | 0160-.4 | |||||
| Max. duration of shaft L | 1500 | 1500 | 1700 | 1900 | 1900 | |||||
| Width of slot groove b | 10H8 | 14H8 | 18H8 | 20H8 | 28H8 | |||||
| Depth of slot groove t | +.250 | +.25.50 | +.160 | +.a hundred and seventy | +.a hundred ninety | |||||
| Length of slot groove I | 56 | 60 | 68 | 80 | 93 | |||||
| Oil hole d | 4 | 4 | 2 | 3 | 3 | |||||
| Dynamic torsion N-m | 548 | 880.six | 2488 | 3978 | 6905.nine | |||||
| Stationary torsion N-m | 1081.9 | 1711.6 | 4141.one | 6927.four | 11737.2 | |||||
| Dynamic load C KN | 29.3 | 37.7 | 76.1 | 100.2 | 147.9 | |||||
| Static load C0 KN | 50.9 | 64.five | 111.5 | 153.six | 221.three | |||||
Applications of Spline Couplings
A spline coupling is a highly effective means of connecting two or more components. These types of couplings are very efficient, as they combine linear motion with rotation, and their efficiency makes them a desirable choice in numerous applications. Read on to learn more about the main characteristics and applications of spline couplings. You will also be able to determine the predicted operation and wear. You can easily design your own couplings by following the steps outlined below.
Optimal design
The spline coupling plays an important role in transmitting torque. It consists of a hub and a shaft with splines that are in surface contact without relative motion. Because they are connected, their angular velocity is the same. The splines can be designed with any profile that minimizes friction. Because they are in contact with each other, the load is not evenly distributed, concentrating on a small area, which can deform the hub surface.
Optimal spline coupling design takes into account several factors, including weight, material characteristics, and performance requirements. In the aeronautics industry, weight is an important design factor. S.A.E. and ANSI tables do not account for weight when calculating the performance requirements of spline couplings. Another critical factor is space. Spline couplings may need to fit in tight spaces, or they may be subject to other configuration constraints.
Optimal design of spline couplers may be characterized by an odd number of teeth. However, this is not always the case. If the external spline’s outer diameter exceeds a certain threshold, the optimal spline coupling model may not be an optimal choice for this application. To optimize a spline coupling for a specific application, the user may need to consider the sizing method that is most appropriate for their application.
Once a design is generated, the next step is to test the resulting spline coupling. The system must check for any design constraints and validate that it can be produced using modern manufacturing techniques. The resulting spline coupling model is then exported to an optimisation tool for further analysis. The method enables a designer to easily manipulate the design of a spline coupling and reduce its weight.
The spline coupling model 20 includes the major structural features of a spline coupling. A product model software program 10 stores default values for each of the spline coupling’s specifications. The resulting spline model is then calculated in accordance with the algorithm used in the present invention. The software allows the designer to enter the spline coupling’s radii, thickness, and orientation.
Characteristics
An important aspect of aero-engine splines is the load distribution among the teeth. The researchers have performed experimental tests and have analyzed the effect of lubrication conditions on the coupling behavior. Then, they devised a theoretical model using a Ruiz parameter to simulate the actual working conditions of spline couplings. This model explains the wear damage caused by the spline couplings by considering the influence of friction, misalignment, and other conditions that are relevant to the splines’ performance.
In order to design a spline coupling, the user first inputs the design criteria for sizing load carrying sections, including the external spline 40 of the spline coupling model 30. Then, the user specifies torque margin performance requirement specifications, such as the yield limit, plastic buckling, and creep buckling. The software program then automatically calculates the size and configuration of the load carrying sections and the shaft. These specifications are then entered into the model software program 10 as specification values.
Various spline coupling configuration specifications are input on the GUI screen 80. The software program 10 then generates a spline coupling model by storing default values for the various specifications. The user then can manipulate the spline coupling model by modifying its various specifications. The final result will be a computer-aided design that enables designers to optimize spline couplings based on their performance and design specifications.
The spline coupling model software program continually evaluates the validity of spline coupling models for a particular application. For example, if a user enters a data value signal corresponding to a parameter signal, the software compares the value of the signal entered to the corresponding value in the knowledge base. If the values are outside the specifications, a warning message is displayed. Once this comparison is completed, the spline coupling model software program outputs a report with the results.
Various spline coupling design factors include weight, material properties, and performance requirements. Weight is one of the most important design factors, particularly in the aeronautics field. ANSI and S.A.E. tables do not consider these factors when calculating the load characteristics of spline couplings. Other design requirements may also restrict the configuration of a spline coupling.
Applications
Spline couplings are a type of mechanical joint that connects two rotating shafts. Its two parts engage teeth that transfer load. Although splines are commonly over-dimensioned, they are still prone to fatigue and static behavior. These properties also make them prone to wear and tear. Therefore, proper design and selection are vital to minimize wear and tear on splines. There are many applications of spline couplings.
A key design is based on the size of the shaft being joined. This allows for the proper spacing of the keys. A novel method of hobbing allows for the formation of tapered bases without interference, and the root of the keys is concentric with the axis. These features enable for high production rates. Various applications of spline couplings can be found in various industries. To learn more, read on.
FE based methodology can predict the wear rate of spline couplings by including the evolution of the coefficient of friction. This method can predict fretting wear from simple round-on-flat geometry, and has been calibrated with experimental data. The predicted wear rate is reasonable compared to the experimental data. Friction evolution in spline couplings depends on the spline geometry. It is also crucial to consider the lubrication condition of the splines.
Using a spline coupling reduces backlash and ensures proper alignment of mated components. The shaft’s splined tooth form transfers rotation from the splined shaft to the internal splined member, which may be a gear or other rotary device. A spline coupling’s root strength and torque requirements determine the type of spline coupling that should be used.
The spline root is usually flat and has a crown on one side. The crowned spline has a symmetrical crown at the centerline of the face-width of the spline. As the spline length decreases toward the ends, the teeth are becoming thinner. The tooth diameter is measured in pitch. This means that the male spline has a flat root and a crowned spline.
Predictability
Spindle couplings are used in rotating machinery to connect two shafts. They are composed of two parts with teeth that engage each other and transfer load. Spline couplings are commonly over-dimensioned and are prone to static and fatigue behavior. Wear phenomena are also a common problem with splines. To address these issues, it is essential to understand the behavior and predictability of these couplings.
Dynamic behavior of spline-rotor couplings is often unclear, particularly if the system is not integrated with the rotor. For example, when a misalignment is not present, the main response frequency is one X-rotating speed. As the misalignment increases, the system starts to vibrate in complex ways. Furthermore, as the shaft orbits depart from the origin, the magnitudes of all the frequencies increase. Thus, research results are useful in determining proper design and troubleshooting of rotor systems.
The model of misaligned spline couplings can be obtained by analyzing the stress-compression relationships between two spline pairs. The meshing force model of splines is a function of the system mass, transmitting torque, and dynamic vibration displacement. This model holds when the dynamic vibration displacement is small. Besides, the CZPT stepping integration method is stable and has high efficiency.
The slip distributions are a function of the state of lubrication, coefficient of friction, and loading cycles. The predicted wear depths are well within the range of measured values. These predictions are based on the slip distributions. The methodology predicts increased wear under lightly lubricated conditions, but not under added lubrication. The lubrication condition and coefficient of friction are the key factors determining the wear behavior of splines.
editor by czh 2023-02-27
China Wholesale high rigidity Taiwan TBI ball spline SLT006 6 mm hollow solid spline shaft drive shaft equipment
Composition: Spline
Substance: Bearing Metal
Coatings: plastic
Design Number: SLT1130 for CHEVROLET it is actually as well tough to send all of catalogue and value listing for you.
six.Q:There are a great deal of businesses which export bearings, why do you choose us?
A: As we are a genuine linear CZPT provider .and we are really factory, you need not shell out the revenue for middlemen. so we can provide you the least expensive and competitive value .
seven.Q:Do you give samples? is it free or further?A:If the sample is easy and of tiny value, then free samples are supplied, but the buyer have to bear the worldwide shipping and delivery charge.If the sample needs to be requested, the visitor have to bear the sample fee and the international express price.Remember to notify us the design you fascinated, we can provide the pricelist for your reference.
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What Are the Advantages of a Splined Shaft?
If you are looking for the right splined shaft for your machine, you should know a few important things. First, what type of material should be used? Stainless steel is usually the most appropriate choice, because of its ability to offer low noise and fatigue failure. Secondly, it can be machined using a slotting or shaping machine. Lastly, it will ensure smooth motion. So, what are the advantages of a splined shaft?
Stainless steel is the best material for splined shafts
When choosing a splined shaft, you should consider its hardness, quality, and finish. Stainless steel has superior corrosion and wear resistance. Carbon steel is another good material for splined shafts. Carbon steel has a shallow carbon content (about 1.7%), which makes it more malleable and helps ensure smooth motion. But if you’re not willing to spend the money on stainless steel, consider other options.
There are two main types of splines: parallel splines and crowned splines. Involute splines have parallel grooves and allow linear and rotary motion. Helical splines have involute teeth and are oriented at an angle. This type allows for many teeth on the shaft and minimizes the stress concentration in the stationary joint.
Large evenly spaced splines are widely used in hydraulic systems, drivetrains, and machine tools. They are typically made from carbon steel (CR10) and stainless steel (AISI 304). This material is durable and meets the requirements of ISO 14-B, formerly DIN 5463-B. Splined shafts are typically made of stainless steel or C45 steel, though there are many other materials available.
Stainless steel is the best material for a splined shaft. This metal is also incredibly affordable. In most cases, stainless steel is the best choice for these shafts because it offers the best corrosion resistance. There are many different types of splined shafts, and each one is suited for a particular application. There are also many different types of stainless steel, so choose stainless steel if you want the best quality.
For those looking for high-quality splined shafts, CZPT Spline Shafts offer many benefits. They can reduce costs, improve positional accuracy, and reduce friction. With the CZPT TFE coating, splined shafts can reduce energy and heat buildup, and extend the life of your products. And, they’re easy to install – all you need to do is install them.
They provide low noise, low wear and fatigue failure
The splines in a splined shaft are composed of two main parts: the spline root fillet and the spline relief. The spline root fillet is the most critical part, because fatigue failure starts there and propagates to the relief. The spline relief is more susceptible to fatigue failure because of its involute tooth shape, which offers a lower stress to the shaft and has a smaller area of contact.
The fatigue life of splined shafts is determined by measuring the S-N curve. This is also known as the Wohler curve, and it is the relationship between stress amplitude and number of cycles. It depends on the material, geometry and way of loading. It can be obtained from a physical test on a uniform material specimen under a constant amplitude load. Approximations for low-alloy steel parts can be made using a lower-alloy steel material.
Splined shafts provide low noise, minimal wear and fatigue failure. However, some mechanical transmission elements need to be removed from the shaft during assembly and manufacturing processes. The shafts must still be capable of relative axial movement for functional purposes. As such, good spline joints are essential to high-quality torque transmission, minimal backlash, and low noise. The major failure modes of spline shafts include fretting corrosion, tooth breakage, and fatigue failure.
The outer disc carrier spline is susceptible to tensile stress and fatigue failure. High customer demands for low noise and low wear and fatigue failure makes splined shafts an excellent choice. A fractured spline gear coupling was received for analysis. It was installed near the top of a filter shaft and inserted into the gearbox motor. The service history was unknown. The fractured spline gear coupling had longitudinally cracked and arrested at the termination of the spline gear teeth. The spline gear teeth also exhibited wear and deformation.
A new spline coupling method detects fault propagation in hollow cylindrical splined shafts. A spline coupling is fabricated using an AE method with the spline section unrolled into a metal plate of the same thickness as the cylinder wall. In addition, the spline coupling is misaligned, which puts significant concentration on the spline teeth. This further accelerates the rate of fretting fatigue and wear.
A spline joint should be lubricated after 25 hours of operation. Frequent lubrication can increase maintenance costs and cause downtime. Moreover, the lubricant may retain abrasive particles at the interfaces. In some cases, lubricants can even cause misalignment, leading to premature failure. So, the lubrication of a spline coupling is vital in ensuring proper functioning of the shaft.
The design of a spline coupling can be optimized to enhance its wear resistance and reliability. Surface treatments, loads, and rotation affect the friction properties of a spline coupling. In addition, a finite element method was developed to predict wear of a floating spline coupling. This method is feasible and provides a reliable basis for predicting the wear and fatigue life of a spline coupling.
They can be machined using a slotting or shaping machine
Machines can be used to shape splined shafts in a variety of industries. They are useful in many applications, including gearboxes, braking systems, and axles. A slotted shaft can be manipulated in several ways, including hobbling, broaching, and slotting. In addition to shaping, splines are also useful in reducing bar diameter.
When using a slotting or shaping machine, the workpiece is held against a pedestal that has a uniform thickness. The machine is equipped with a stand column and limiting column (Figure 1), each positioned perpendicular to the upper surface of the pedestal. The limiting column axis is located on the same line as the stand column. During the slotting or shaping process, the tool is fed in and out until the desired space is achieved.
One process involves cutting splines into a shaft. Straddle milling, spline shaping, and spline cutting are two common processes used to create splined shafts. Straddle milling involves a fixed indexing fixture that holds the shaft steady, while rotating milling cutters cut the groove in the length of the shaft. Several passes are required to ensure uniformity throughout the spline.
Splines are a type of gear. The ridges or teeth on the drive shaft mesh with grooves in the mating piece. A splined shaft allows the transmission of torque to a mate piece while maximizing the power transfer. Splines are used in heavy vehicles, construction, agriculture, and massive earthmoving machinery. Splines are used in virtually every type of rotary motion, from axles to transmission systems. They also offer better fatigue life and reliability.
Slotting or shaping machines can also be used to shape splined shafts. Slotting machines are often used to machine splined shafts, because it is easier to make them with these machines. Using a slotting or shaping machine can result in splined shafts of different sizes. It is important to follow a set of spline standards to ensure your parts are manufactured to the highest standards.
A milling machine is another option for producing splined shafts. A spline shaft can be set up between two centers in an indexing fixture. Two side milling cutters are mounted on an arbor and a spacer and shims are inserted between them. The arbor and cutters are then mounted to a milling machine spindle. To make sure the cutters center themselves over the splined shaft, an adjustment must be made to the spindle of the machine.
The machining process is very different for internal and external splines. External splines can be broached, shaped, milled, or hobbed, while internal splines cannot. These machines use hard alloy, but they are not as good for internal splines. A machine with a slotting mechanism is necessary for these operations.
editor by czh 2023-02-24
China TBI C7 precision ball spline 10mm hollow solid SLT010 zero angle gap spline shaft supplier
Framework: Spline
Substance: Bearing Steel
Coatings: plastic
Design Amount: SLT571
Merchandise title: ZheJiang TBI
Delivery Information: 3-thirty days right after get
Software: Automated System
Characteristic: High Accuracy
Performance: Excellent
Service: Of course
Dimensions: customization
Rigidity: Substantial Rigidity and Preload
Name: ball spline
Packaging Particulars: Items are packaged with plastic, carton box Unique Deal Wood Box
Port: HangZhou
| Merchandise Identify | ZheJiang TBI Ball Spline |
| Material | Bearing Metal |
| Edge | Large Precision, Large Load Capability, Low Noise, Higher Rigidity |
| Supply Details | three-30 Days After Get |
| Applications | Automation Industry, Semiconductor Market, Industrial Machinery, Excellent Top quality RV Sequence Worm Pace Reducer Gearbox, Square Flange Input TNMRV Worm Reducer Gear Box With Small AC Motor Healthcare Market, Solar Gear, Device Machinery, Parking Gear In connected industries. |
Higher Load-Carrying CapacityEvery groove on the TBI Spline shaft is precision floor to form a perfect 40° angular make contact with stage. The notion of 40° contact style is to boosts the load carrying ability and rigidity to handle a higher instant load.
Zero Angular Clearance / BacklashGrooves on the TBI Spline shaft is precision ground to kind a excellent Gothic arch. The layout gets rid of clearance that could generate deflections, and for that reason ideal suited for the programs that necessary large precision.
Large SensitivityThe exclusive TBI 40° set 1045 metal inexpensive normal chain wheel sprocket angular speak to is made to function with the bare minimum friction while the design performs large sensitivity and rigidity.
Large RigidityA broad speak to angle and an acceptable level of preload are merged to offer high rigidity and stiffness.
Mount-Basic on Layout TBI Ball Spline is minimal maintenance style, for that reason, when getting rid of the spline nut is essential because of to the ball retaining design and style the steel balls will not tumble aside like the standard nut design.
FAQone. Q: How about the quality of your merchandise?
A: 100% inspection for the duration of manufacturing.
2. Q: What’s the supply time?
A: Normally it is 5-10 days if the items are in inventory ,or it is15-twenty days if the merchandise are not in inventory ,it is according to amount.
three. Q: What’s your packing?
A: Our Regular packing is bulking in PE bag, and then into plywood Cartons.We also can pack items in accordance to your need.
4. Q: What about the guarantee?
A: We are quite self-assured in our products,and we pack them quite effectively to make confident the products in well security.
five.Q: Could you send me your catalogue and cost checklist?
A: As we have more than hundreds of products, Drive& Pushed sprocket for Har880 plastic chain and sprocket sprocket it is genuinely also hard to send out all of catalogue and price tag listing for you.
6.Q:There are a good deal of organizations which export bearings, why do you decide on us?
A: As we are a legitimate linear CZPT provider .and we are genuinely manufacturing facility, you want not pay the profit for middlemen. so we can supply you the least expensive and aggressive price tag .
7.Q:Do you give samples? is it free or added?A:If the sample is simple and of tiny value, then free of charge samples are supplied, but the customer must bear the worldwide supply charge.If the sample wants to be purchased, the visitor should bear the sample fee and the international express price.Please inform us the fashion you interested, we can supply the pricelist for your reference.
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Stiffness and Torsional Vibration of Spline-Couplings
In this paper, we describe some basic characteristics of spline-coupling and examine its torsional vibration behavior. We also explore the effect of spline misalignment on rotor-spline coupling. These results will assist in the design of improved spline-coupling systems for various applications. The results are presented in Table 1.
Stiffness of spline-coupling
The stiffness of a spline-coupling is a function of the meshing force between the splines in a rotor-spline coupling system and the static vibration displacement. The meshing force depends on the coupling parameters such as the transmitting torque and the spline thickness. It increases nonlinearly with the spline thickness.
A simplified spline-coupling model can be used to evaluate the load distribution of splines under vibration and transient loads. The axle spline sleeve is displaced a z-direction and a resistance moment T is applied to the outer face of the sleeve. This simple model can satisfy a wide range of engineering requirements but may suffer from complex loading conditions. Its asymmetric clearance may affect its engagement behavior and stress distribution patterns.
The results of the simulations show that the maximum vibration acceleration in both Figures 10 and 22 was 3.03 g/s. This results indicate that a misalignment in the circumferential direction increases the instantaneous impact. Asymmetry in the coupling geometry is also found in the meshing. The right-side spline’s teeth mesh tightly while those on the left side are misaligned.
Considering the spline-coupling geometry, a semi-analytical model is used to compute stiffness. This model is a simplified form of a classical spline-coupling model, with submatrices defining the shape and stiffness of the joint. As the design clearance is a known value, the stiffness of a spline-coupling system can be analyzed using the same formula.
The results of the simulations also show that the spline-coupling system can be modeled using MASTA, a high-level commercial CAE tool for transmission analysis. In this case, the spline segments were modeled as a series of spline segments with variable stiffness, which was calculated based on the initial gap between spline teeth. Then, the spline segments were modelled as a series of splines of increasing stiffness, accounting for different manufacturing variations. The resulting analysis of the spline-coupling geometry is compared to those of the finite-element approach.
Despite the high stiffness of a spline-coupling system, the contact status of the contact surfaces often changes. In addition, spline coupling affects the lateral vibration and deformation of the rotor. However, stiffness nonlinearity is not well studied in splined rotors because of the lack of a fully analytical model.
Characteristics of spline-coupling
The study of spline-coupling involves a number of design factors. These include weight, materials, and performance requirements. Weight is particularly important in the aeronautics field. Weight is often an issue for design engineers because materials have varying dimensional stability, weight, and durability. Additionally, space constraints and other configuration restrictions may require the use of spline-couplings in certain applications.
The main parameters to consider for any spline-coupling design are the maximum principal stress, the maldistribution factor, and the maximum tooth-bearing stress. The magnitude of each of these parameters must be smaller than or equal to the external spline diameter, in order to provide stability. The outer diameter of the spline must be at least four inches larger than the inner diameter of the spline.
Once the physical design is validated, the spline coupling knowledge base is created. This model is pre-programmed and stores the design parameter signals, including performance and manufacturing constraints. It then compares the parameter values to the design rule signals, and constructs a geometric representation of the spline coupling. A visual model is created from the input signals, and can be manipulated by changing different parameters and specifications.
The stiffness of a spline joint is another important parameter for determining the spline-coupling stiffness. The stiffness distribution of the spline joint affects the rotor’s lateral vibration and deformation. A finite element method is a useful technique for obtaining lateral stiffness of spline joints. This method involves many mesh refinements and requires a high computational cost.
The diameter of the spline-coupling must be large enough to transmit the torque. A spline with a larger diameter may have greater torque-transmitting capacity because it has a smaller circumference. However, the larger diameter of a spline is thinner than the shaft, and the latter may be more suitable if the torque is spread over a greater number of teeth.
Spline-couplings are classified according to their tooth profile along the axial and radial directions. The radial and axial tooth profiles affect the component’s behavior and wear damage. Splines with a crowned tooth profile are prone to angular misalignment. Typically, these spline-couplings are oversized to ensure durability and safety.
Stiffness of spline-coupling in torsional vibration analysis
This article presents a general framework for the study of torsional vibration caused by the stiffness of spline-couplings in aero-engines. It is based on a previous study on spline-couplings. It is characterized by the following three factors: bending stiffness, total flexibility, and tangential stiffness. The first criterion is the equivalent diameter of external and internal splines. Both the spline-coupling stiffness and the displacement of splines are evaluated by using the derivative of the total flexibility.
The stiffness of a spline joint can vary based on the distribution of load along the spline. Variables affecting the stiffness of spline joints include the torque level, tooth indexing errors, and misalignment. To explore the effects of these variables, an analytical formula is developed. The method is applicable for various kinds of spline joints, such as splines with multiple components.
Despite the difficulty of calculating spline-coupling stiffness, it is possible to model the contact between the teeth of the shaft and the hub using an analytical approach. This approach helps in determining key magnitudes of coupling operation such as contact peak pressures, reaction moments, and angular momentum. This approach allows for accurate results for spline-couplings and is suitable for both torsional vibration and structural vibration analysis.
The stiffness of spline-coupling is commonly assumed to be rigid in dynamic models. However, various dynamic phenomena associated with spline joints must be captured in high-fidelity drivetrain models. To accomplish this, a general analytical stiffness formulation is proposed based on a semi-analytical spline load distribution model. The resulting stiffness matrix contains radial and tilting stiffness values as well as torsional stiffness. The analysis is further simplified with the blockwise inversion method.
It is essential to consider the torsional vibration of a power transmission system before selecting the coupling. An accurate analysis of torsional vibration is crucial for coupling safety. This article also discusses case studies of spline shaft wear and torsionally-induced failures. The discussion will conclude with the development of a robust and efficient method to simulate these problems in real-life scenarios.
Effect of spline misalignment on rotor-spline coupling
In this study, the effect of spline misalignment in rotor-spline coupling is investigated. The stability boundary and mechanism of rotor instability are analyzed. We find that the meshing force of a misaligned spline coupling increases nonlinearly with spline thickness. The results demonstrate that the misalignment is responsible for the instability of the rotor-spline coupling system.
An intentional spline misalignment is introduced to achieve an interference fit and zero backlash condition. This leads to uneven load distribution among the spline teeth. A further spline misalignment of 50um can result in rotor-spline coupling failure. The maximum tensile root stress shifted to the left under this condition.
Positive spline misalignment increases the gear mesh misalignment. Conversely, negative spline misalignment has no effect. The right-handed spline misalignment is opposite to the helix hand. The high contact area is moved from the center to the left side. In both cases, gear mesh is misaligned due to deflection and tilting of the gear under load.
This variation of the tooth surface is measured as the change in clearance in the transverse plain. The radial and axial clearance values are the same, while the difference between the two is less. In addition to the frictional force, the axial clearance of the splines is the same, which increases the gear mesh misalignment. Hence, the same procedure can be used to determine the frictional force of a rotor-spline coupling.
Gear mesh misalignment influences spline-rotor coupling performance. This misalignment changes the distribution of the gear mesh and alters contact and bending stresses. Therefore, it is essential to understand the effects of misalignment in spline couplings. Using a simplified system of helical gear pair, Hong et al. examined the load distribution along the tooth interface of the spline. This misalignment caused the flank contact pattern to change. The misaligned teeth exhibited deflection under load and developed a tilting moment on the gear.
The effect of spline misalignment in rotor-spline couplings is minimized by using a mechanism that reduces backlash. The mechanism comprises cooperably splined male and female members. One member is formed by two coaxially aligned splined segments with end surfaces shaped to engage in sliding relationship. The connecting device applies axial loads to these segments, causing them to rotate relative to one another.
editor by czh 2023-02-22
China Taiwan TBI SOT type solid hollow ball spline shaft 8mm SOT008 ball spline shaft coupling supplier
Framework: Spline
Material: Bearing Steel
Coatings: plastic
Design Quantity: SOT008
Solution name: ZheJiang TBI
Supply Specifics: 3-thirty times soon after buy
Software: Computerized System
Attribute: High Accuracy
Functionality: Exceptional
Support: Yes
Measurement: customization
Rigidity: Substantial Rigidity and Preload
Title: ball spline
Packaging Information: Merchandise are packaged with plastic, carton box Unique Deal Picket Box
Port: HangZhou
| Merchandise Identify | ZheJiang TBI Ball Spline |
| Materials | Bearing Metal |
| Edge | Large Precision, Huge Load Capacity, Minimal Noise, Large Rigidity |
| Delivery Details | three-30 Times Following Purchase |
| Apps | Automation Market, Semiconductor Market, Industrial Machinery, Medical Sector, Photo voltaic Tools, weite OEM High Precision Custom Worm Gear for Worm Gearbox Resource Machinery, Parking Gear In related industries. |
Large Load-Carrying CapacityEvery groove on the TBI Spline shaft is precision floor to kind a excellent 40° angular speak to point. The concept of 40° make contact with style is to will increase the load carrying capacity and rigidity to manage a increased second load.
Zero Angular Clearance / BacklashGrooves on the TBI Spline shaft is precision ground to sort a best Gothic arch. The design and style removes clearance that could produce deflections, and for that reason best suited for the programs that necessary high precision.
High SensitivityThe exclusive TBI 40° angular make contact with is made to work with the least friction although the layout performs higher sensitivity and rigidity.
Large RigidityA wide get in touch with angle and an appropriate amount of preload are combined to provide high rigidity and stiffness.
Mount-Straightforward on Design TBI Ball Spline is lower maintenance style, as a result, when getting rid of the spline nut is required due to the ball retaining design the metal balls will not tumble aside like the classic nut design.
Associated Goods
FAQone. Q: How about the quality of your solution?
A: 100% inspection in the course of creation.
2. Q: What’s the shipping and delivery time?
A: Generally it is 5-ten days if the items are in stock ,or it is15-20 times if the products are not in inventory , Transmission chain sprockets with spline manufactured in China it is in accordance to amount.
3. Q: What is your packing?
A: Our Typical packing is bulking in PE bag, and then into plywood Cartons.We also can pack products according to your need.
4. Q: What about the warranty?
A: We are very self-assured in our products,and we pack them very properly to make certain the merchandise in nicely safety.
five.Q: Could you deliver me your catalogue and value checklist?
A: As we have far more than hundreds of merchandise,it is really way too difficult to ship all of catalogue and price tag record for you.
6.Q:There are a great deal of firms which export bearings, why do you pick us?
A: As we are a authentic linear CZPT provider .and we are actually manufacturing unit, you want not pay the earnings for middlemen. so we can offer you you the cheapest and competitive cost .
seven.Q:Do you give samples? is it free or added?A:If the sample is easy and of tiny benefit, then free of charge samples are presented, but the consumer need to bear the worldwide shipping price.If the sample demands to be purchased, the visitor should bear the sample price and the global categorical charge.Make sure you tell us the type you fascinated, Golfing cart parts Electric powered 1994-up Push Facet Rear Splined Axle Shaft For TXT EZ-GO # 72056-G01 we can provide the pricelist for your reference.
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Standard Length Splined Shafts
Standard Length Splined Shafts are made from Mild Steel and are perfect for most repair jobs, custom machinery building, and many other applications. All stock splined shafts are 2-3/4 inches in length, and full splines are available in any length, with additional materials and working lengths available upon request and quotation. CZPT Manufacturing Company is proud to offer these standard length shafts.
Disc brake mounting interfaces that are splined
There are two common disc brake mounting interfaces, splined and center lock. Disc brakes with splined interfaces are more common. They are usually easier to install. The center lock system requires a tool to remove the locking ring on the disc hub. Six-bolt rotors are easier to install and require only six bolts. The center lock system is commonly used with performance road bikes.
Post mount disc brakes require a post mount adapter, while flat mount disc brakes do not. Post mount adapters are more common and are used for carbon mountain bikes, while flat mount interfaces are becoming the norm on road and gravel bikes. All disc brake adapters are adjustable for rotor size, though. Road bikes usually use 160mm rotors while mountain bikes use rotors that are 180mm or 200mm.
Disc brake mounting interfaces that are helical splined
A helical splined disc brake mounting interface is designed with a splined connection between the hub and brake disc. This splined connection allows for a relatively large amount of radial and rotational displacement between the disc and hub. A loosely splined interface can cause a rattling noise due to the movement of the disc in relation to the hub.
The splines on the brake disc and hub are connected via an air gap. The air gap helps reduce heat conduction from the brake disc to the hub. The present invention addresses problems of noise, heat, and retraction of brake discs at the release of the brake. It also addresses issues with skewing and dragging. If you’re unsure whether this type of mounting interface is right for you, consult your mechanic.
Disc brake mounting interfaces that are helix-splined may be used in conjunction with other components of a wheel. They are particularly useful in disc brake mounting interfaces for hub-to-hub assemblies. The spacer elements, which are preferably located circumferentially, provide substantially the same function no matter how the brake disc rotates. Preferably, three spacer elements are located around the brake disc. Each of these spacer elements has equal clearance between the splines of the brake disc and the hub.
Spacer elements 6 include a helical spring portion 6.1 and extensions in tangential directions that terminate in hooks 6.4. These hooks abut against the brake disc 1 in both directions. The helical spring portion 5.1 and 6.1 have stiffness enough to absorb radial impacts. The spacer elements are arranged around the circumference of the intermeshing zone.
A helical splined disc mount includes a stabilizing element formed as a helical spring. The helical spring extends to the disc’s splines and teeth. The ends of the extension extend in opposite directions, while brackets at each end engage with the disc’s splines and teeth. This stabilizing element is positioned axially over the disc’s width.
Helical splined disc brake mounting interfaces are popular in bicycles and road bicycles. They’re a reliable, durable way to mount your brakes. Splines are widely used in aerospace, and have a higher fatigue life and reliability. The interfaces between the splined disc brake and BB spindle are made from aluminum and acetate.
As the splined hub mounts the disc in a helical fashion, the spring wire and disc 2 will be positioned in close contact. As the spring wire contacts the disc, it creates friction forces that are evenly distributed throughout the disc. This allows for a wide range of axial motion. Disc brake mounting interfaces that are helical splined have higher strength and stiffness than their counterparts.
Disc brake mounting interfaces that are helically splined can have a wide range of splined surfaces. The splined surfaces are the most common type of disc brake mounting interfaces. They are typically made of stainless steel or aluminum and can be used for a variety of applications. However, a splined disc mount will not support a disc with an oversized brake caliper.
editor by czh 2023-02-22
China M8-M50 knurling spline shaft fasteners fittings ball screw metric thread trapezoidal thread Cylindrical Die Rolling Machines drive shaft coupler
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Situation: New
Creation Capacity: 4-20 pcs/min
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Movie outgoing-inspection: Provided
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Marketing and advertising Kind: New Product 2571
Warranty of core elements: 1 Yr
Main Components: PLC, Motor, Bearing, Gearbox, Motor, 3 In 1 Integrated Screw Air Compressor Compact Device With Screw Air Compressor Force vessel, Equipment, Pump
Voltage: 3-380V 50HZ
Energy: 4042W
Dimension(L*W*H): 1370*1510*1280mm
Excess weight: 2100(KG)
Guarantee: 1 12 months
Important Marketing Details: Large-precision
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Function piece diameter: 8-50/mm
Assortment of pitch rolled: 1.-4.0P
Max.length of thread rolled: In feed and via feed for selection
Inside diameter of rolling die(keyway): 54mm
Outside the house diameter of rolling die: 115mm-175mm
Thickness of rolling die: 120mm
The optimum feed force: 12.5T
machine motor: 3.75kw
hydraulic motor: 1.5kw
Following Guarantee Provider: Online video technological assistance, On the internet help, Spare elements, Field upkeep and restore support
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Certification: ISO 9001-2008, CE
Packaging Particulars: 1. metal threading device is packaged in wood circumstance 2. neutral bundle can also be approved
Port: HangZhou,HangZhou
Product Overview Positive aspectsone. Spindle with double row needle roller bearings and cylindrical roller bearings blended to guarantee the precision and stiffness requirements spindle 2.Transmission system employing multi-polar spindle equipment box, to attain smooth transmission, shifting easily 3.Hydraulic method utilizes modular valves, modest footprint, beautiful physical appearance, steady functionality, simplicity of use and upkeep4.Machine handle technique can very easily choose guide, semi-automated, automated 3 techniques to adjust working hrs, making use of new digital dial code immediately controlled roller method time and pause time Functions AT A Glance Substantial PRECISIONHIGH STABILITYSIMPLE CONTROLEASY Servicing Software Solution Technical specs
| Diameter rang | 8-50mm | Outside diameter of rolling dies | 115-175mm |
| Pitch rang | 1.-4.0p | Inside diameter of rolling dies | 54mm |
| Max duration of the threads | 120mm | Max thickness of rolling die | 120mm |
| Rotation speed | 16/twenty five/forty/sixty three r/min | Output | 4-20pcs/min |
| Machine motor | 3.75kw | Hydraulic motor | 1.5kw |
| Max rolling stress | 12.5T | Machine fat | 2100kg |
| Gross weight | 2200kg | Packing measurement | 1470*1600*1400 |
| Max middle length amongst die spindles | 230mm | Min heart distance in between die spindles | 110mm |
The Functions of Splined Shaft Bearings
Splined shafts are the most common types of bearings for machine tools. They are made of a wide variety of materials, including metals and non-metals such as Delrin and nylon. They are often fabricated to reduce deflection. The tooth profile will become deformed with time, as the shaft is used over a long period of time. Splined shafts are available in a huge range of materials and lengths.
Functions
Splined shafts are used in a variety of applications and industries. They are an effective anti-rotational device, as well as a reliable means of transmitting torque. Other types of shafts are available, including key shafts, but splines are the most convenient for transmitting torque. The following article discusses the functions of splines and why they are a superior choice. Listed below are a few examples of applications and industries in which splines are used.
Splined shafts can be of several styles, depending on the application and mechanical system in question. The differences between splined shaft styles include the design of teeth, overall strength, transfer of rotational concentricity, sliding ability, and misalignment tolerance. Listed below are a few examples of splines, as well as some of their benefits. The difference between these styles is not mutually exclusive; instead, each style has a distinct set of pros and cons.
A splined shaft is a cylindrical shaft with teeth or ridges that correspond to a specific angular position. This allows a shaft to transfer torque while maintaining angular correspondence between tracks. A splined shaft is defined as a cylindrical member with several grooves cut into its circumference. These grooves are equally spaced around the shaft and form a series of projecting keys. These features give the shaft a rounded appearance and allow it to fit perfectly into a grooved cylindrical member.
While the most common applications of splines are for shortening or extending shafts, they can also be used to secure mechanical assemblies. An “involute spline” spline has a groove that is wider than its counterparts. The result is that a splined shaft will resist separation during operation. They are an ideal choice for applications where deflection is an issue.
A spline shaft’s radial torsion load distribution is equally distributed, unless a bevel gear is used. The radial torsion load is evenly distributed and will not exert significant load concentration. If the spline couplings are not aligned correctly, the spline connection can fail quickly, causing significant fretting fatigue and wear. A couple of papers discuss this issue in more detail.
Types
There are many different types of splined shafts. Each type features an evenly spaced helix of grooves on its outer surface. These grooves are either parallel or involute. Their shape allows them to be paired with gears and interchange rotary and linear motion. Splines are often cold-rolled or cut. The latter has increased strength compared to cut spines. These types of shafts are commonly used in applications requiring high strength, accuracy, and smoothness.
Another difference between internal and external splined shafts lies in the manufacturing process. The former is made of wood, while the latter is made of steel or a metal alloy. The process of manufacturing splined shafts involves cutting furrows into the surface of the material. Both processes are expensive and require expert skill. The main advantage of splined shafts is their adaptability to a wide range of applications.
In general, splined shafts are used in machinery where the rotation is transferred to an internal splined member. This member can be a gear or some other rotary device. These types of shafts are often packaged together as a hub assembly. Cleaning and lubricating are essential to the life of these components. If you’re using them on a daily basis, you’ll want to make sure to regularly inspect them.
Crowned splines are usually involute. The teeth of these splines form a spiral pattern. They are used for smaller diameter shafts because they add strength. Involute splines are also used on instrument drives and valve shafts. Serration standards are found in the SAE. Both kinds of splines can also contain a ball bearing for high torque. The difference between the two types of splines is the number of teeth on the shaft.
Internal splines have many advantages over external ones. For example, an internal spline shaft can be made using a grinding wheel instead of a CNC machine. It also uses a more accurate and economical process. Furthermore, it allows for a shorter manufacturing cycle, which is essential when splining high-speed machines. In addition, it stabilizes the relative phase between the spline and thread.
Manufacturing methods
There are several methods used to fabricate a splined shaft. Key and splined shafts are constructed from two separate parts that are shaped in a synchronized manner to transfer torque uniformly. Hot rolling is one method, while cold rolling utilizes low temperatures to form metal. Both methods enhance mechanical properties, surface finishes, and precision. The advantage of cold rolling is its cost-effectiveness.
Cold forming is one method, as well as machining and assembling. Cold forming is a unique process that allows the spline to be shaped to the desired shape. The resulting shape provides maximum contact area and torsional strength. Standard splines are available in standard sizes, but custom lengths can also be ordered. CZPT offers various auxiliary equipment, such as mating sleeves and flanged bushings.
Cold forging is another method. This method produces long splined shafts that are used in automobile propellers. After the spline portion is cut out, it is worked on in a hobbing machine. Work hardening enhances the root strength of the splined portion. It can be used for bearings, gears, and other mechanical components. Listed below are the manufacturing methods for splined shafts.
Parallel splines are the simplest of the splined shaft manufacturing methods. Parallel splines are usually welded to shafts, while involute splines are made of metal or non-metals. Splines are available in a wide variety of lengths and materials. The process is usually accompanied by a process called milling. The workpiece rotates to produce the serrated surface.
Splines are internal or external grooves in a splined shaft. They work in combination with keyways to transfer torque. Male and female splines are used in gears. Female and male splines correspond to one another to ensure proper angular correspondence. Involute splines have more surface area and thus are stronger than external splines. Moreover, they help the shaft fit into a grooved cylindrical member without misalignment.
A variety of other methods of manufacturing a splined shaft can be used to produce a splined shaft. Spline shafts can be produced using broaching and shaping, two precision machining methods. Broaching uses a metal tool with successively larger teeth to remove metal and create ridges and holes in the surface of a material. However, this process is expensive and requires special expertise.
Applications
The splined shaft is a mechanical component with a helix-like shape formed by the equal spacing of grooves in a circular ring. The splines can either have parallel or involute sides. The splines minimize stress concentration in stationary joints and can be used in both rotary and linear motion. In some cases, splines are rolled rather than cut. The latter is more durable than cut splines and is often used in applications requiring high strength, accuracy, and smooth finish.
Splined shafts are commonly made of carbon steel. This alloy steel has a low carbon content, making it easy to work with. Carbon steel is a great choice for splines because it is malleable. Generally, high-quality carbon steel provides a consistent motion. Steel alloys are also available that contain nickel, chromium, copper, and other metals. If you’re unsure of the right material for your application, you can consult a spline chart.
Splines are a versatile mechanical component. They are easy to cut and fit. Splines can be internal or external, with teeth positioned at equal intervals on both sides of the shaft. This allows the shaft to engage with the hub around the entire circumference of the hub. It also increases load capacity by creating a constant multiple-tooth point of contact with the hub. For this reason, they’re used extensively in rotary and linear motion.
Splined shafts are used in a wide variety of industries. CZPT Inc. offers custom and standard splined shafts for a variety of applications. When choosing a splined shaft for a specific application, consider the surrounding mated components, torque requirements, and size requirements. These three factors will make it the ideal choice for your rotary equipment. And you’ll be pleased with the end result!
There are many types of splines and their applications are endless. They transfer torque and angular misalignment between parts, and they also enable the axial rotation of assembled components. Therefore, splines are an essential component of machinery and are used in a wide range of applications. This type of shaft can be found in various types of machines, from household appliances to industrial machinery. So, the next time you’re looking for a splined shaft, make sure you look for a splined one.
editor by czh 2023-02-19
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Analytical Approaches to Estimating Contact Pressures in Spline Couplings
A spline coupling is a type of mechanical connection between two rotating shafts. It consists of two parts – a coupler and a coupling. Both parts have teeth which engage and transfer loads. However, spline couplings are typically over-dimensioned, which makes them susceptible to fatigue and static behavior. Wear phenomena can also cause the coupling to fail. For this reason, proper spline coupling design is essential for achieving optimum performance.
Modeling a spline coupling
Spline couplings are becoming increasingly popular in the aerospace industry, but they operate in a slightly misaligned state, causing both vibrations and damage to the contact surfaces. To solve this problem, this article offers analytical approaches for estimating the contact pressures in a spline coupling. Specifically, this article compares analytical approaches with pure numerical approaches to demonstrate the benefits of an analytical approach.
To model a spline coupling, first you create the knowledge base for the spline coupling. The knowledge base includes a large number of possible specification values, which are related to each other. If you modify one specification, it may lead to a warning for violating another. To make the design valid, you must create a spline coupling model that meets the specified specification values.
After you have modeled the geometry, you must enter the contact pressures of the two spline couplings. Then, you need to determine the position of the pitch circle of the spline. In Figure 2, the centre of the male coupling is superposed to that of the female spline. Then, you need to make sure that the alignment meshing distance of the two splines is the same.
Once you have the data you need to create a spline coupling model, you can begin by entering the specifications for the interface design. Once you have this data, you need to choose whether to optimize the internal spline or the external spline. You’ll also need to specify the tooth friction coefficient, which is used to determine the stresses in the spline coupling model 20. You should also enter the pilot clearance, which is the clearance between the tip 186 of a tooth 32 on one spline and the feature on the mating spline.
After you have entered the desired specifications for the external spline, you can enter the parameters for the internal spline. For example, you can enter the outer diameter limit 154 of the major snap 54 and the minor snap 56 of the internal spline. The values of these parameters are displayed in color-coded boxes on the Spline Inputs and Configuration GUI screen 80. Once the parameters are entered, you’ll be presented with a geometric representation of the spline coupling model 20.
Creating a spline coupling model 20
The spline coupling model 20 is created by a product model software program 10. The software validates the spline coupling model against a knowledge base of configuration-dependent specification constraints and relationships. This report is then input to the ANSYS stress analyzer program. It lists the spline coupling model 20’s geometric configurations and specification values for each feature. The spline coupling model 20 is automatically recreated every time the configuration or performance specifications of the spline coupling model 20 are modified.
The spline coupling model 20 can be configured using the product model software program 10. A user specifies the axial length of the spline stack, which may be zero, or a fixed length. The user also enters a radial mating face 148, if any, and selects a pilot clearance specification value of 14.5 degrees or 30 degrees.
A user can then use the mouse 110 to modify the spline coupling model 20. The spline coupling knowledge base contains a large number of possible specification values and the spline coupling design rule. If the user tries to change a spline coupling model, the model will show a warning about a violation of another specification. In some cases, the modification may invalidate the design.
In the spline coupling model 20, the user enters additional performance requirement specifications. The user chooses the locations where maximum torque is transferred for the internal and external splines 38 and 40. The maximum torque transfer location is determined by the attachment configuration of the hardware to the shafts. Once this is selected, the user can click “Next” to save the model. A preview of the spline coupling model 20 is displayed.
The model 20 is a representation of a spline coupling. The spline specifications are entered in the order and arrangement as specified on the spline coupling model 20 GUI screen. Once the spline coupling specifications are entered, the product model software program 10 will incorporate them into the spline coupling model 20. This is the last step in spline coupling model creation.
Analysing a spline coupling model 20
An analysis of a spline coupling model consists of inputting its configuration and performance specifications. These specifications may be generated from another computer program. The product model software program 10 then uses its internal knowledge base of configuration dependent specification relationships and constraints to create a valid three-dimensional parametric model 20. This model contains information describing the number and types of spline teeth 32, snaps 34, and shoulder 36.
When you are analysing a spline coupling, the software program 10 will include default values for various specifications. The spline coupling model 20 comprises an internal spline 38 and an external spline 40. Each of the splines includes its own set of parameters, such as its depth, width, length, and radii. The external spline 40 will also contain its own set of parameters, such as its orientation.
Upon selecting these parameters, the software program will perform various analyses on the spline coupling model 20. The software program 10 calculates the nominal and maximal tooth bearing stresses and fatigue life of a spline coupling. It will also determine the difference in torsional windup between an internal and an external spline. The output file from the analysis will be a report file containing model configuration and specification data. The output file may also be used by other computer programs for further analysis.
Once these parameters are set, the user enters the design criteria for the spline coupling model 20. In this step, the user specifies the locations of maximum torque transfer for both the external and internal spline 38. The maximum torque transfer location depends on the configuration of the hardware attached to the shafts. The user may enter up to four different performance requirement specifications for each spline.
The results of the analysis show that there are two phases of spline coupling. The first phase shows a large increase in stress and vibration. The second phase shows a decline in both stress and vibration levels. The third stage shows a constant meshing force between 300N and 320N. This behavior continues for a longer period of time, until the final stage engages with the surface.
Misalignment of a spline coupling
A study aimed to investigate the position of the resultant contact force in a spline coupling engaging teeth under a steady torque and rotating misalignment. The study used numerical methods based on Finite Element Method (FEM) models. It produced numerical results for nominal conditions and parallel offset misalignment. The study considered two levels of misalignment – 0.02 mm and 0.08 mm – with different loading levels.
The results showed that the misalignment between the splines and rotors causes a change in the meshing force of the spline-rotor coupling system. Its dynamics is governed by the meshing force of splines. The meshing force of a misaligned spline coupling is related to the rotor-spline coupling system parameters, the transmitting torque, and the dynamic vibration displacement.
Despite the lack of precise measurements, the misalignment of splines is a common problem. This problem is compounded by the fact that splines usually feature backlash. This backlash is the result of the misaligned spline. The authors analyzed several splines, varying pitch diameters, and length/diameter ratios.
A spline coupling is a two-dimensional mechanical system, which has positive backlash. The spline coupling is comprised of a hub and shaft, and has tip-to-root clearances that are larger than the backlash. A form-clearance is sufficient to prevent tip-to-root fillet contact. The torque on the splines is transmitted via friction.
When a spline coupling is misaligned, a torque-biased thrust force is generated. In such a situation, the force can exceed the torque, causing the component to lose its alignment. The two-way transmission of torque and thrust is modeled analytically in the present study. The analytical approach provides solutions that can be integrated into the design process. So, the next time you are faced with a misaligned spline coupling problem, make sure to use an analytical approach!
In this study, the spline coupling is analyzed under nominal conditions without a parallel offset misalignment. The stiffness values obtained are the percentage difference between the nominal pitch diameter and load application diameter. Moreover, the maximum percentage difference in the measured pitch diameter is 1.60% under a torque of 5000 N*m. The other parameter, the pitch angle, is taken into consideration in the calculation.
editor by czh 2023-02-19