Product Description
Our advantage:
*Specialization in CNC formulations of high precision and quality
*Independent quality control department
*Control plan and process flow sheet for each batch
*Quality control in all whole production
*Meeting demands even for very small quantities or single units
*Short delivery times
*Online orders and production progress monitoring
*Excellent price-quality ratio
*Absolute confidentiality
*Various materials (stainless steel, iron, brass, aluminum, titanium, special steels, industrial plastics)
*Manufacturing of complex components of 1 – 1000mm.
Production machine:
Inspection equipment :
Certificate:
| Material: | Carbon Steel |
|---|---|
| Load: | Drive Shaft |
| Stiffness & Flexibility: | Stiffness / Rigid Axle |
| Journal Diameter Dimensional Accuracy: | IT01-IT5 |
| Axis Shape: | Straight Shaft |
| Shaft Shape: | Real Axis |
| Customization: |
Available
| Customized Request |
|---|
Types of Splines
There are four types of splines: Involute, Parallel key, helical, and ball. Learn about their characteristics. And, if you’re not sure what they are, you can always request a quotation. These splines are commonly used for building special machinery, repair jobs, and other applications. The CZPT Manufacturing Company manufactures these shafts. It is a specialty manufacturer and we welcome your business.
Involute splines
The involute spline provides a more rigid and durable structure, and is available in a variety of diameters and spline counts. Generally, steel, carbon steel, or titanium are used as raw materials. Other materials, such as carbon fiber, may be suitable. However, titanium can be difficult to produce, so some manufacturers make splines using other constituents.
When splines are used in shafts, they prevent parts from separating during operation. These features make them an ideal choice for securing mechanical assemblies. Splines with inward-curving grooves do not have sharp corners and are therefore less likely to break or separate while they are in operation. These properties help them to withstand high-speed operations, such as braking, accelerating, and reversing.
A male spline is fitted with an externally-oriented face, and a female spline is inserted through the center. The teeth of the male spline typically have chamfered tips to provide clearance with the transition area. The radii and width of the teeth of a male spline are typically larger than those of a female spline. These specifications are specified in ANSI or DIN design manuals.
The effective tooth thickness of a spline depends on the involute profile error and the lead error. Also, the spacing of the spline teeth and keyways can affect the effective tooth thickness. Involute splines in a splined shaft are designed so that at least 25 percent of the spline teeth engage during coupling, which results in a uniform distribution of load and wear on the spline.
Parallel key splines
A parallel splined shaft has a helix of equal-sized grooves around its circumference. These grooves are generally parallel or involute. Splines minimize stress concentrations in stationary joints and allow linear and rotary motion. Splines may be cut or cold-rolled. Cold-rolled splines have more strength than cut spines and are often used in applications that require high strength, accuracy, and a smooth surface.
A parallel key splined shaft features grooves and keys that are parallel to the axis of the shaft. This design is best suited for applications where load bearing is a primary concern and a smooth motion is needed. A parallel key splined shaft can be made from alloy steels, which are iron-based alloys that may also contain chromium, nickel, molybdenum, copper, or other alloying materials.
A splined shaft can be used to transmit torque and provide anti-rotation when operating as a linear guide. These shafts have square profiles that match up with grooves in a mating piece and transmit torque and rotation. They can also be easily changed in length, and are commonly used in aerospace. Its reliability and fatigue life make it an excellent choice for many applications.
The main difference between a parallel key splined shaft and a keyed shaft is that the former offers more flexibility. They lack slots, which reduce torque-transmitting capacity. Splines offer equal load distribution along the gear teeth, which translates into a longer fatigue life for the shaft. In agricultural applications, shaft life is essential. Agricultural equipment, for example, requires the ability to function at high speeds for extended periods of time.
Involute helical splines
Involute splines are a common design for splined shafts. They are the most commonly used type of splined shaft and feature equal spacing among their teeth. The teeth of this design are also shorter than those of the parallel spline shaft, reducing stress concentration. These splines can be used to transmit power to floating or permanently fixed gears, and reduce stress concentrations in the stationary joint. Involute splines are the most common type of splined shaft, and are widely used for a variety of applications in automotive, machine tools, and more.
Involute helical spline shafts are ideal for applications involving axial motion and rotation. They allow for face coupling engagement and disengagement. This design also allows for a larger diameter than a parallel spline shaft. The result is a highly efficient gearbox. Besides being durable, splines can also be used for other applications involving torque and energy transfer.
A new statistical model can be used to determine the number of teeth that engage for a given load. These splines are characterized by a tight fit at the major diameters, thereby transferring concentricity from the shaft to the female spline. A male spline has chamfered tips for clearance with the transition area. ANSI and DIN design manuals specify the different classes of fit.
The design of involute helical splines is similar to that of gears, and their ridges or teeth are matched with the corresponding grooves in a mating piece. It enables torque and rotation to be transferred to a mate piece while maintaining alignment of the two components. Different types of splines are used in different applications. Different splines can have different levels of tooth height.
Involute ball splines
When splines are used, they allow the shaft and hub to engage evenly over the shaft’s entire circumference. Because the teeth are evenly spaced, the load that they can transfer is uniform and their position is always the same regardless of shaft length. Whether the shaft is used to transmit torque or to transmit power, splines are a great choice. They provide maximum strength and allow for linear or rotary motion.
There are three basic types of splines: helical, crown, and ball. Crown splines feature equally spaced grooves. Crown splines feature involute sides and parallel sides. Helical splines use involute teeth and are often used in small diameter shafts. Ball splines contain a ball bearing inside the splined shaft to facilitate rotary motion and minimize stress concentration in stationary joints.
The two types of splines are classified under the ANSI classes of fit. Fillet root splines have teeth that mesh along the longitudinal axis of rotation. Flat root splines have similar teeth, but are intended to optimize strength for short-term use. Both types of splines are important for ensuring the shaft aligns properly and is not misaligned.
The friction coefficient of the hub is a complex process. When the hub is off-center, the center moves in predictable but irregular motion. Moreover, when the shaft is centered, the center may oscillate between being centered and being off-center. To compensate for this, the torque must be adequate to keep the shaft in its axis during all rotation angles. While straight-sided splines provide similar centering, they have lower misalignment load factors.
Keyed shafts
Essentially, splined shafts have teeth or ridges that fit together to transfer torque. Because splines are not as tall as involute gears, they offer uniform torque transfer. Additionally, they provide the opportunity for torque and rotational changes and improve wear resistance. In addition to their durability, splined shafts are popular in the aerospace industry and provide increased reliability and fatigue life.
Keyed shafts are available in different materials, lengths, and diameters. When used in high-power drive applications, they offer higher torque and rotational speeds. The higher torque they produce helps them deliver power to the gearbox. However, they are not as durable as splined shafts, which is why the latter is usually preferred in these applications. And while they’re more expensive, they’re equally effective when it comes to torque delivery.
Parallel keyed shafts have separate profiles and ridges and are used in applications requiring accuracy and precision. Keyed shafts with rolled splines are 35% stronger than cut splines and are used where precision is essential. These splines also have a smooth finish, which can make them a good choice for precision applications. They also work well with gears and other mechanical systems that require accurate torque transfer.
Carbon steel is another material used for splined shafts. Carbon steel is known for its malleability, and its shallow carbon content helps create reliable motion. However, if you’re looking for something more durable, consider ferrous steel. This type contains metals such as nickel, chromium, and molybdenum. And it’s important to remember that carbon steel is not the only material to consider.
editor by CX 2023-06-07
China Standard CZPT Combine Harvester Transmission Gear Shaft for Forklift Truck Car Tractor & Machine Tool wholesaler
Product Description
For example,
(1)Gear shafts for oil pump(gear pump), drive shaft, center spindle shaft, agricultural drive shaft. We have stocks for most popular sizes; also we accept non-standard sizes orders.
We have complete production line with CNC turning, milling, teeth shaping, hobbing, heat treatment, grinding capacity, and inspecting devices. Different material, different tolerance, different heat treatment…Will be met according to customer’s requirements. We are familiar with ISO, ANSI, DIN, JIS standards.
Gear Specification:
1)Material: Carbon steel, alloy steel, stainless steel,
2)Modulus: 0.5-16mm
3)Number of teeth: 6-200
4)OD: 10-800mm
5)Precision grade: ISO6
6)Heat treatment: Right methods will be made for different material, quenching, case hardening, carburizing, nitriding, normalizing, etc.
7)Process: Forging, turning, milling, punching, grinding heat treatment, finish grinding
8)Surface: Self color, plating, phosphating, powder coating
9)OEM welcomed, small order quantities are accepted.
(2)Our Gear types: Straight Teeth Gear, Oblique Teeth Cylinder Gear, External Spur Gear, Helical Gear, Internal Spur Gear, Gear Shaft etc the standard and non standard according to the drawings or samples.
Material : 45#, 40Cr, 20CrMo, 20CrMoti, 17CrNiMo6, 20CrMnTi or the others
Heat treatment: Medium frequency quenching, high frequency quenching, carburizing and quenching, nitriding, Carbon-Nitriding, Salt bath quenching.
Working Process: Gearh hobbing, Gear shaving, Gear shaping, Gear grinding etc
Precision Grade: GB5-8, JIS 1-4, AGMA 12-9, DIN 6-9
Application area: Auto gearbox, medical equipment, metallurgical machinery, port machinery, lifting equipment, mining machinery, electrical power equipment, light industry equipment, environmental protection machinery.
(3)Our sprocket or chainwheel
the standard and non standard according to the drawings or samples.
Material : C45,S235JR,CAST STEEL or the others
1, Description: sprocket ,chainwheel
2, Types:
a) Standard sprocket
b) Finished bore sprocket
c) Taper bore sprocket
d) Double plate wheels
e) conveyor sprocket
3, Material: C45 ,S235JR, Nylon
4 ,Surface treatment: Zinc-plated ,black finish
5, Single A-type, double A-type, Welding hub KB-type, Welding hub C-type etc for your reference.
6, heat treatment way: high frequency quenching, Through-hardened, carburizing and quenching
(4) Our manufacturer produces the worm shaft with special machine of which the production efficiency is 2 times more than the traditional method and the surface finish would be within 0.8-1.6. Also, all the finished worm gear and shafts will be tested with gear meshing effort meter in order to meet exactly the requirements from the clients. The material of worm gear: Brass, Al bronze, Phosphor bronze. The material of worm shaft: 42CrMo, 40Cr and so on. The worm gear and shafts we process can be used on the different products such as Gate valves gear operated and solar slew drive and our processing range is extensively including double-enveloping toroid worm gear and shaft, Niemann worm gear and shat, dual lead worm and non-standard worm.
The above represents some of the sizes offered. The other types of products can be considered upon request.
Please feel free to contact us if you have any interested.
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 2 splines are coupled with no spline misalignment, the maximum tensile root stress shifts to the left by 5 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 50-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 4 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 3 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 2 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 2 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 3 factors. A failure mode is often defined as a non-linear distribution of stresses and strains.
China best OEM Ningbo China Manufacturer Metal Processing Sintered Rolling Cut Cast Spur Bevel Wheel Double Helical Curved Auto Car Industry Agricultural Gear Axle Shaft with Free Design Custom
Product Description
Company Profile
Company Profile
HangZhou Xihu (West Lake) Dis. Gain Machinery Co., Ltd., is a manufacture of precision machining from steel plates, castings & closed die forgings. It is founded in 2571 year, covers a total area of about 2000 square meters.
Around 50 people are employed, including 4 engineers.
The company equipped with 10 oblique CZPT CNC Lathes, 35 normal CNC lathes, 6 machining centers, other milling machines and drilling machines.
The Products cover construction parts, auto parts, medical treatment, aerospace, electronics and other fields, exported to Japan, Israel & other Asian countries and Germany, the United States, Canada & other European and American countries.
Certificated by TS16949 quality management system.
Equipment Introduction
Main facility and working range, inspection equipment as follow
| 4 axles CNC Machine Center | 1000mm*600mm*650mm |
| Oblique Xihu (West Lake) Dis. CNC Machine | max φ800mm max length 700mm Tolerance control within 0.01 One time clamping, high accuracy |
| Turning-milling Compound Machining Center | max φ800mm max length 1000mm |
| Other CNC Lathe | Total 30 sets |
| Inspection Equipment | CMM, Projector, CZPT Scale, Micrometer |
| Profiloscope, Hardness tester and so on |
Oblique Xihu (West Lake) Dis. CNC Lathe
Equipped with 10 sets of oblique CZPT CNC Lathes The maximum diameter can be 400-500 mm Precision can reach 0.01mm
Machining Center
6 sets of 4 axles machining center, max SPEC: 1300*70mm, precision can reach 0.01mm
About Products
Quality Control
We always want to be precise, so check dimensions after each production step. We have senior engineers, skilled CNC operator, professional quality inspector. All this makes sure the final goods are high qualified.
Also can do third parity inspection accoring to customer’s reequirments, such as SGS, TUV, ICAS and so on.
Callipers/Height guage
Thread guage
Go/ no go guage
Inside micrometer
Outside micrometer
Micron scale
CMM
Projector
Micrometer
Profiloscope
Hardness tester
Inspection Process
1. Before machining, the engineer will give away the technology card for each process acc. to drawing for quality control.
2. During the machining, the workers will test the dimensions at each step, then marked in the technology card.
3. When machining finished, the professional testing personnel will do 100% retesting again.
Packing Area
In general, the products will be packed in bubble wrap or separated by plywoods firstly.
Then the wrapped products will be put in the wooden cases (no solid wood), which is allowed for export.
Parts can also be packed acc. to customer’s requirement.
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 4 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 3 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 2 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 2 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 1 another.