Product Description
Product Description
Warranty
1 Year
Applicable Industries
Hotels, Garment Shops, Building Material Shops, Manufacturing Plant, Machinery Repair Shops, Food & Beverage Factory, Farms, Restaurant, Home Use, Retail, Food Shop, Printing Shops, Construction works , Energy & Mining, Food & Beverage Shops, Other, Advertising Company
Weight (KG)
1
Showroom Location
Viet Nam
Video outgoing-inspection
Provided
Machinery Test Report
Provided
Marketing Type
Ordinary Product
Warranty of core components
1 Year
Core Components
PLC, Engine, Bearing, Gearbox, Motor, Pressure vessel, Gear, Pump
Material
steel
Place of CHINAMFG
ZheJiang , China
Condition
New
Structure
Shaft
Coatings
Customized
Torque Capacity
Customized
Model Number
Customized
Brand Name
NON
Description
Shaft
Machining equipment
CNC mill,lathe and grind machine
Material
stainless steel, aluminium, carbon
Surface
Grinding and polishing
Shape
Customized
Sampling time
10days
Production time
20days
Packing
Protective packing
Tolerance
±0.001
OEM
Welcome
Production Process
Company Profile
HangZhou HUANENGDA SPRING CO.,LTD
HangZhou HuaNengDa Spring Co., Ltd. is located in Tong ‘an District, HangZhou City, ZheJiang Province, China. It is a hardware factory specializing in R&D design, manufacture and sales of precision components. The company introduces domestic and foreign advanced equipment and production technology, adopts CNC high-precision computer machine, compression spring machine, CNC five-axis linkage machining center, CNC turning and milling compound, 300 tons of punch and other mechanical equipment,and employs senior engineers with more than 10 years of work experience to debug mechanical equipment and customize production.
With the business philosophy of honesty, pragmatism and excellence, HuaNengDa Spring Company is dedicated to serving customers at home and abroad. We hope that the products of HuaNengDa will help your business to be more brilliant, let us build a bright future in the high-tech era!
The testimony is pragmatic and the attitude of the people. Quality service is the pursuit of the people!
Factory Workshop
Production Procedur
Quality Inspection
Packing And Shipping
Our Service
FAQ
1.Small order quantity is workable
From the initial sample design of the spring to the mass production of the springs, we can quickly reach your manufacturing goals and immediately provide the best products because we have an excellent production management system and expertly trained technical personnel.
2.Committed to high quality production
To keep HuaNengDa Springs at the forefront of the industry, we have implemented a stringent internal quality control system and regularly import the latest manufacturing equipment and instruments. Through our precise manufacturing technology and expert mold making process, we provide our customers with the best products and service.
3.Efficiency in manufacturing
Our company’s machinery and equipment are controlled by CNC computers. In order to respond to international needs and standards, we continuously update and upgrade our equipment every year. Our machines effectively increase production capacity and save on manufacturing costs. The manufacturing department is the most important core of the whole company and by treating it with utmost importance, we reap great benefits in manufacturing efficiency.
4.Excellent customization services
HuaNengDa’s R&D team designs and completes customized products according to the needs of customers. From the selection of materials to the function of the products, we can design and develop products to suite different customers’ requirements. We are constantly involving ourselves in all aspects of the industry because only by having a complete view and analysis of the industry, can there be innovative breakthroughs.
Payment term
*T/T : 30% pre T/T, 70% before delivery.
*Trade Assurance
Service
*Delivery on time.
*Shipped by a convenient and cost-effective way.
*Good after-selling, 24 hours service for you.
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*A: Poly bag, Plstic tray ,small box, carton.
*B: According to customers’ requirements.
Delivery
*Sample: 7-10 days after deposit received.
*Batch goods: 12-15 days after samples approved. /* January 22, 2571 19:08:37 */!function(){function s(e,r){var a,o={};try{e&&e.split(“,”).forEach(function(e,t){e&&(a=e.match(/(.*?):(.*)$/))&&1
| Condition: | New |
|---|---|
| Certification: | ISO9001 |
| Standard: | DIN, ASTM, GOST, GB, JIS, ANSI, BS |
| Customized: | Customized |
| Material: | Steel,Stainless Steel,Iron |
| Application: | Metal Processing Machinery Parts |
| Samples: |
US$ 10/Piece
1 Piece(Min.Order) | |
|---|
| Customization: |
Available
| Customized Request |
|---|
How does the design of a spline shaft affect its performance?
The design of a spline shaft plays a crucial role in determining its performance characteristics. Here’s a detailed explanation:
1. Torque Transmission:
The design of the spline shaft directly affects its ability to transmit torque efficiently. Factors such as the spline profile, number of splines, and engagement length influence the torque-carrying capacity of the shaft. A well-designed spline profile with optimized dimensions ensures maximum contact area and load distribution, resulting in improved torque transmission.
2. Load Distribution:
A properly designed spline shaft distributes the applied load evenly across the engagement surfaces. This helps to minimize stress concentrations and prevents localized wear or failure. The design should consider factors such as spline profile geometry, tooth form, and surface finish to achieve optimal load distribution and enhance the overall performance of the shaft.
3. Misalignment Compensation:
Spline shafts can accommodate a certain degree of misalignment between the mating components. The design of the spline profile can incorporate features that allow for angular or parallel misalignment, ensuring effective power transmission even under misaligned conditions. Proper design considerations help maintain smooth operation and prevent excessive stress or premature failure.
4. Torsional Stiffness:
The design of the spline shaft influences its torsional stiffness, which is the resistance to twisting under torque. A stiffer shaft design reduces torsional deflection, improves torque response, and enhances the system’s overall performance. The shaft material, diameter, and spline profile all contribute to achieving the desired torsional stiffness.
5. Fatigue Resistance:
The design of the spline shaft should consider fatigue resistance to ensure long-term durability. Fatigue failure can occur due to repeated or cyclic loading. Proper design practices, such as optimizing the spline profile, selecting appropriate materials, and incorporating suitable surface treatments, can enhance the fatigue resistance of the shaft and extend its service life.
6. Surface Finish and Lubrication:
The surface finish of the spline shaft and the lubrication used significantly impact its performance. A smooth surface finish reduces friction, wear, and the potential for corrosion. Proper lubrication ensures adequate film formation, reduces heat generation, and minimizes wear. The design should incorporate considerations for surface finish requirements and lubrication provisions to optimize the shaft’s performance.
7. Environmental Considerations:
The design should take into account the specific environmental conditions in which the spline shaft will operate. Factors such as temperature, humidity, exposure to chemicals, or abrasive particles can affect the shaft’s performance and longevity. Suitable material selection, surface treatments, and sealing mechanisms can be incorporated into the design to withstand the environmental challenges.
8. Manufacturing Feasibility:
The design of the spline shaft should also consider manufacturing feasibility and cost-effectiveness. Complex designs may be challenging to produce or require specialized manufacturing processes, resulting in increased production costs. Balancing design complexity with manufacturability is crucial to ensure a practical and efficient manufacturing process.
By considering these design factors, engineers can optimize the performance of spline shafts, resulting in enhanced torque transmission, improved load distribution, misalignment compensation, torsional stiffness, fatigue resistance, surface finish, and environmental compatibility. A well-designed spline shaft contributes to the overall efficiency, reliability, and longevity of the mechanical system in which it is used.
What materials are commonly used in the construction of spline shafts?
Various materials are commonly used in the construction of spline shafts, depending on the specific application requirements. Here’s a list of commonly used materials:
1. Steel:
Steel is one of the most widely used materials for spline shafts. Different grades of steel, such as carbon steel, alloy steel, or stainless steel, can be employed based on factors like strength, hardness, and corrosion resistance. Steel offers excellent mechanical properties, including high strength, durability, and wear resistance, making it suitable for a broad range of applications.
2. Alloy Steel:
Alloy steel is a type of steel that contains additional alloying elements, such as chromium, molybdenum, or nickel. These alloying elements enhance the mechanical properties of the steel, providing improved strength, toughness, and wear resistance. Alloy steel spline shafts are commonly used in applications that require high torque capacity, durability, and resistance to fatigue.
3. Stainless Steel:
Stainless steel is known for its corrosion resistance properties, making it suitable for applications where the spline shaft is exposed to moisture or corrosive environments. Stainless steel spline shafts are commonly used in industries such as food processing, chemical processing, marine, and medical equipment.
4. Aluminum:
Aluminum is a lightweight material with good strength-to-weight ratio. It is often used in applications where weight reduction is a priority, such as automotive and aerospace industries. Aluminum spline shafts can provide advantages such as decreased rotating mass and improved fuel efficiency.
5. Titanium:
Titanium is a strong and lightweight material with excellent corrosion resistance. It is commonly used in high-performance applications where weight reduction, strength, and corrosion resistance are critical factors. Titanium spline shafts find applications in aerospace, motorsports, and high-end industrial equipment.
6. Brass:
Brass is an alloy of copper and zinc, offering good machinability and corrosion resistance. It is often used in applications that require electrical conductivity or a non-magnetic property. Brass spline shafts can be found in industries such as electronics, telecommunications, and instrumentation.
7. Plastics and Composite Materials:
In certain applications where weight reduction, corrosion resistance, or noise reduction is important, plastics or composite materials can be used for spline shafts. Materials such as nylon, acetal, or fiber-reinforced composites can provide specific advantages in terms of weight, low friction, and resistance to chemicals.
It’s important to note that material selection for spline shafts depends on factors such as load requirements, environmental conditions, operating temperatures, and cost considerations. Engineers and designers evaluate these factors to determine the most suitable material for a given application.
Can you explain the common applications of spline shafts in machinery?
Spline shafts have various common applications in machinery where torque transmission, relative movement, and load distribution are essential. Here’s a detailed explanation:
1. Gearboxes and Transmissions:
Spline shafts are commonly used in gearboxes and transmissions where they facilitate the transmission of torque from the input shaft to the output shaft. The splines on the shaft engage with corresponding splines on the gears, allowing for precise torque transfer and accommodating relative movement between the gears.
2. Power Take-Off (PTO) Units:
In agricultural and industrial machinery, spline shafts are employed in power take-off (PTO) units. PTO units allow the transfer of power from the engine to auxiliary equipment, such as pumps, generators, or farm implements. Spline shafts enable the torque transfer and accommodate the relative movement required for PTO operation.
3. Steering Systems:
Spline shafts play a crucial role in steering systems, especially in vehicles. They are used in steering columns to transmit torque from the steering wheel to the steering rack or gearbox. The splines on the shaft ensure precise torque transfer while allowing for the axial movement required for steering wheel adjustment.
4. Machine Tools:
Spline shafts find applications in machine tools such as milling machines, lathes, and grinding machines. They are used to transmit torque and enable the relative movement required for tool positioning, feed control, and spindle rotation. Spline shafts ensure accurate and controlled movement of the machine tool components.
5. Industrial Pumps and Compressors:
Spline shafts are utilized in various types of pumps and compressors, including centrifugal pumps, gear pumps, and reciprocating compressors. They transmit torque from the driver (such as an electric motor or an engine) to the impeller or rotor, enabling fluid or gas transfer. Spline shafts accommodate the axial or radial movement caused by thermal expansion or misalignment.
6. Printing and Packaging Machinery:
Spline shafts are integral components in printing and packaging machinery. They are used in processes such as web handling, where precise torque transmission and relative movement are required for tasks like tension control, registration, and material feeding. Spline shafts ensure accurate and synchronized movement of the printing and packaging elements.
7. Aerospace and Defense Systems:
In the aerospace and defense industries, spline shafts are utilized in various applications, including aircraft landing gear systems, missile guidance systems, and helicopter rotor systems. They enable torque transmission, accommodate relative movement, and ensure precise control in critical aerospace and defense mechanisms.
8. Construction and Earthmoving Equipment:
Spline shafts are employed in construction and earthmoving equipment, such as excavators, bulldozers, and loaders. They are used in hydraulic systems to transmit torque from the hydraulic motor to the driven components, such as the digger arm or the bucket. Spline shafts enable efficient power transfer and allow for the articulation and movement of the equipment.
These are just a few examples of the common applications of spline shafts in machinery. Their versatility, torque transmission capabilities, and ability to accommodate relative movement make them essential components in various industries where precise power transfer and flexibility are required.
editor by CX 2024-04-09
China Precision Shaft Manufacturer Supplier Custom Stainless Steel Carbon Flexible Step Spline Motor Spindle Axle Lathing CNC Grinding drive shaft assembly parts
Situation: New
Guarantee: 1 Yr
Applicable Industries: Developing Substance Outlets, Producing Plant, Equipment Fix Outlets, Development functions
Excess weight (KG): 1
Showroom Area: Egypt, Canada, United Kingdom, United States, Italy, France, Germany, Philippines, Brazil, Peru, Russia, Spain, Kenya, UAE, Colombia, Algeria, Romania, Kazakhstan, Ukraine, Kyrgyzstan, Nigeria, Japan, Malaysia, Australia
Online video outgoing-inspection: Offered
Equipment Take a look at Report: Presented
Marketing and advertising Kind: Regular Merchandise
Guarantee of main parts: 1 Year
Main Parts: PLC, Engine, Bearing, Gearbox, Motor, Pressure vessel, Equipment, Pump
Framework: Adaptable
Material: metal, Stainless steel, D-gap Rubber Wheel Suited for N20 Motor D Shaft Tire Car Robot Do it yourself Toys Components Carbon, Aluminum, Custom-made
Coatings: Custom
Torque Ability: Custom made
Product Quantity: Customized
Top quality: OEM Standard
Service: OEM Custom-made Providers
Shipping time: 7-25days
Floor: Perfect Look
Gear: CNC Turning Milling Machining Equipments
Dimensions: Custom-made Measurement
MOQ: 10pcs
Drawing Format: Second/3D PDF/CAD/Phase
Tolerance: .003mm~.005mm
Packaging Information: 1.Plastic bag or plastic wrap inside of, carton outside2.The package deal of Brass Turning Machine Spare Areas as customers’ need
Port: HangZhou,HangZhou,Hong Kong
We can customize it according to your demands,With the capability from design and style to drawing to creation, we can provide you with a total assortment of solutions. Production Approach Grinding machine shopSpecializing in the manufacturing of a variety of higher-precision custom made shaft components German Zeiss CMM, to give guarantee for your high quality Skilled good quality inspection products and group to give higher-quality goods
| Solution Kind | engine shaft, steel shaft, shafts for treadmills, versatile shaft |
| Surface Remedy | heat therapy |
| Drawing Format | PDF,DWG,stage |
| Application | Automotive, Automation, Test programs, Sensors, Medical, Sporting activities, Buyer, House appliance,Digital, Pumps, Pcs, Power andpower, Architecture, Printing, Meals, Textile equipment, Optical, Lights, Protection and security, AOI, CZPT equipment, etc. |
| Deal | protective packing |
| sample | 7— Garage Door Opener Gear Sprocket Assembly Kit 10 days |
| Certification | ISO,SGS |
| Production Ability | 100,000 parts for every thirty day period |
| Our Provider | CNC Machining,Plastic Injection,Stamping,Die Casting,Silicone And Rubber,Aluminum Extrusion,Mould Producing,and so on |
How to Calculate Stiffness, Centering Force, Wear and Fatigue Failure of Spline Couplings
There are various types of spline couplings. These couplings have several important properties. These properties are: Stiffness, Involute splines, Misalignment, Wear and fatigue failure. To understand how these characteristics relate to spline couplings, read this article. It will give you the necessary knowledge to determine which type of coupling best suits your needs. Keeping in mind that spline couplings are usually spherical in shape, they are made of steel.
Involute splines
An effective side interference condition minimizes gear misalignment. When two splines are coupled with no spline misalignment, the maximum tensile root stress shifts to the left by five mm. A linear lead variation, which results from multiple connections along the length of the spline contact, increases the effective clearance or interference by a given percentage. This type of misalignment is undesirable for coupling high-speed equipment.
Involute splines are often used in gearboxes. These splines transmit high torque, and are better able to distribute load among multiple teeth throughout the coupling circumference. The involute profile and lead errors are related to the spacing between spline teeth and keyways. For coupling applications, industry practices use splines with 25 to fifty-percent of spline teeth engaged. This load distribution is more uniform than that of conventional single-key couplings.
To determine the optimal tooth engagement for an involved spline coupling, Xiangzhen Xue and colleagues used a computer model to simulate the stress applied to the splines. The results from this study showed that a “permissible” Ruiz parameter should be used in coupling. By predicting the amount of wear and tear on a crowned spline, the researchers could accurately predict how much damage the components will sustain during the coupling process.
There are several ways to determine the optimal pressure angle for an involute spline. Involute splines are commonly measured using a pressure angle of 30 degrees. Similar to gears, involute splines are typically tested through a measurement over pins. This involves inserting specific-sized wires between gear teeth and measuring the distance between them. This method can tell whether the gear has a proper tooth profile.
The spline system shown in Figure 1 illustrates a vibration model. This simulation allows the user to understand how involute splines are used in coupling. The vibration model shows four concentrated mass blocks that represent the prime mover, the internal spline, and the load. It is important to note that the meshing deformation function represents the forces acting on these three components.
Stiffness of coupling
The calculation of stiffness of a spline coupling involves the measurement of its tooth engagement. In the following, we analyze the stiffness of a spline coupling with various types of teeth using two different methods. Direct inversion and blockwise inversion both reduce CPU time for stiffness calculation. However, they require evaluation submatrices. Here, we discuss the differences between these two methods.
The analytical model for spline couplings is derived in the second section. In the third section, the calculation process is explained in detail. We then validate this model against the FE method. Finally, we discuss the influence of stiffness nonlinearity on the rotor dynamics. Finally, we discuss the advantages and disadvantages of each method. We present a simple yet effective method for estimating the lateral stiffness of spline couplings.
The numerical calculation of the spline coupling is based on the semi-analytical spline load distribution model. This method involves refined contact grids and updating the compliance matrix at each iteration. Hence, it consumes significant computational time. Further, it is difficult to apply this method to the dynamic analysis of a rotor. This method has its own limitations and should be used only when the spline coupling is fully investigated.
The meshing force is the force generated by a misaligned spline coupling. It is related to the spline thickness and the transmitting torque of the rotor. The meshing force is also related to the dynamic vibration displacement. The result obtained from the meshing force analysis is given in Figures 7, 8, and 9.
The analysis presented in this paper aims to investigate the stiffness of spline couplings with a misaligned spline. Although the results of previous studies were accurate, some issues remained. For example, the misalignment of the spline may cause contact damages. The aim of this article is to investigate the problems associated with misaligned spline couplings and propose an analytical approach for estimating the contact pressure in a spline connection. We also compare our results to those obtained by pure numerical approaches.
Misalignment
To determine the centering force, the effective pressure angle must be known. Using the effective pressure angle, the centering force is calculated based on the maximum axial and radial loads and updated Dudley misalignment factors. The centering force is the maximum axial force that can be transmitted by friction. Several published misalignment factors are also included in the calculation. A new method is presented in this paper that considers the cam effect in the normal force.
In this new method, the stiffness along the spline joint can be integrated to obtain a global stiffness that is applicable to torsional vibration analysis. The stiffness of bearings can also be calculated at given levels of misalignment, allowing for accurate estimation of bearing dimensions. It is advisable to check the stiffness of bearings at all times to ensure that they are properly sized and aligned.
A misalignment in a spline coupling can result in wear or even failure. This is caused by an incorrectly aligned pitch profile. This problem is often overlooked, as the teeth are in contact throughout the involute profile. This causes the load to not be evenly distributed along the contact line. Consequently, it is important to consider the effect of misalignment on the contact force on the teeth of the spline coupling.
The centre of the male spline in Figure 2 is superposed on the female spline. The alignment meshing distances are also identical. Hence, the meshing force curves will change according to the dynamic vibration displacement. It is necessary to know the parameters of a spline coupling before implementing it. In this paper, the model for misalignment is presented for spline couplings and the related parameters.
Using a self-made spline coupling test rig, the effects of misalignment on a spline coupling are studied. In contrast to the typical spline coupling, misalignment in a spline coupling causes fretting wear at a specific position on the tooth surface. This is a leading cause of failure in these types of couplings.
Wear and fatigue failure
The failure of a spline coupling due to wear and fatigue is determined by the first occurrence of tooth wear and shaft misalignment. Standard design methods do not account for wear damage and assess the fatigue life with big approximations. Experimental investigations have been conducted to assess wear and fatigue damage in spline couplings. The tests were conducted on a dedicated test rig and special device connected to a standard fatigue machine. The working parameters such as torque, misalignment angle, and axial distance have been varied in order to measure fatigue damage. Over dimensioning has also been assessed.
During fatigue and wear, mechanical sliding takes place between the external and internal splines and results in catastrophic failure. The lack of literature on the wear and fatigue of spline couplings in aero-engines may be due to the lack of data on the coupling’s application. Wear and fatigue failure in splines depends on a number of factors, including the material pair, geometry, and lubrication conditions.
The analysis of spline couplings shows that over-dimensioning is common and leads to different damages in the system. Some of the major damages are wear, fretting, corrosion, and teeth fatigue. Noise problems have also been observed in industrial settings. However, it is difficult to evaluate the contact behavior of spline couplings, and numerical simulations are often hampered by the use of specific codes and the boundary element method.
The failure of a spline gear coupling was caused by fatigue, and the fracture initiated at the bottom corner radius of the keyway. The keyway and splines had been overloaded beyond their yield strength, and significant yielding was observed in the spline gear teeth. A fracture ring of non-standard alloy steel exhibited a sharp corner radius, which was a significant stress raiser.
Several components were studied to determine their life span. These components include the spline shaft, the sealing bolt, and the graphite ring. Each of these components has its own set of design parameters. However, there are similarities in the distributions of these components. Wear and fatigue failure of spline couplings can be attributed to a combination of the three factors. A failure mode is often defined as a non-linear distribution of stresses and strains.
editor by czh 2023-02-20
China Axle steel flexible drive shaft vertical hollow shaft electric motors worm gear shaft drive shaft axle
Issue: New
Warranty: 1.5 many years
Relevant Industries: Manufacturing Plant, Machinery Fix Retailers, Farms
Fat (KG): one
Showroom Spot: None
Online video outgoing-inspection: Presented
Equipment Take a look at Report: Supplied
Advertising Kind: Common Item
Warranty of core elements: 1 Calendar year
Core Factors: Gear
Structure: Spline
Substance: CARBON Steel
Coatings: Black Oxide
Item name: Non-common Sprocket
Surface treatment method: Warmth Treatment
Coloration: Black
Top quality: 100% Inspection
Soon after Guarantee Provider: On-line assist
Packaging Details: Carton/ Pallet
Accept drawing and sample custom
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FAQ Q1. What is your conditions of packing?A: Normally, we pack our products in neutral white containers and wood box. Q2. What is your phrases of payment?A: T/T 30% as deposit, and 70% prior to supply. We are going to present you the photos of the goods and offers prior to you shell out the equilibrium.Q3. What is your conditions of shipping?A: EXW, Aluminum Alloy Diaphragm Coupling Solitary and Double Diaphragm Shaft Coupler Coupling Ball Screw Coupling FOB, CFR, CIF, DDU.Q4. How about your shipping and delivery time?A: Typically, OEM Industrial Huge Metal Cog Wheel Sprocket Wheel in Machinery it will just take thirty to sixty days right after getting your progress payment. The specific shipping time depends on the things and the amount of your get.Q5. Can you produce in accordance to the samples?A: Indeed, we can generate by your samples or technical drawings. We can construct the molds and fixtures.Q6. What is your sample policy?A: We can provide the sample but the clients have to pay out the sample value and the courier value.Q7. Do you check all your merchandise ahead of supply?A: Of course, we have one hundred% check ahead of deliveryQ8: How do you make our organization extended-term and good romantic relationship?A:1. We keep great quality and aggressive price to guarantee our customers gain 2. We respect every single consumer as our friend and we sincerely do organization and make close friends with them, WPWD Reduction Input Reducer Worm Gearbox Large Torque Equipment Reducers no matter where they come from. Why Pick Us
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 2023-02-15