Product Description

Overview
———————————————————————————————————————————————————————————————————————————————–
Quick Details
Gearing Arrangement:    Helical                                                                                                                Brand Name:                   EED
Input Speed:                     1400 rpm                                                                                                           Output Speed:                 4.8 rpm to 1075 rpm
Rated Power:                    0.12 ~ 160KW                                                                                                  Gear Ratio:                       2.64-251.25
Color:                                 Blue/Silver or on request                                                                                Origin:                               ZHangZhoug, China (Mainland)         
Warranty:                           1 Year                                                                                                                Application:                      Industry    
———————————————————————————————————————————————————————————————————————————————–
Supply Ability
Supply Ability:                   20000 Piece/Pieces per Month
Extra Service:                    OEM is welcome         
QC System:                        ISO9001:2008
———————————————————————————————————————————————————————————————————————————————–
Packaging & Delivery
Package:                            Wooden box/Paper carton    
Port:                                    HangZhou/ZheJiang  or on request     
———————————————————————————————————————————————————————————————————————————————–

1. F series parallel shaft helical box is based on the design of parallel shaft tructure, which have a center distance
between input and output shaft who are parallel.

2. Compact construction, steady running, high transmission efficiency, strong carrying capacity.

3. The material of gears is 20CrMnTi alloy steel and the hardness can reach to HRC58; ~ 62; After tempering, ce-
mentiting,quenching etc. Heat treatment. All the gears are processed by accurate grinding and the precision
can reach to grade 6~5.

4. Installation: Foot-mounted, flange, torque arm and so on; Output type: Solid shaft, hollow shaft and can choose
to add
one-key, spline, or shrink disc connection. Input Model: Directly connected with motor, flange input or shaft input.
Markets

About CZPT since 1984
HangZhou Melchizedek Import & Export Co., Ltd. is a leader manufactur in mechanism field and punching/stamp
ing field since 1984. Our main product, NMRV worm gear speed reducer and series helical gearbox, XDR,
XDF, XDK, XDShave reached the advanced technique index of the congeneric European and Janpanese produc
ts, We offer standard gears, sprockets, chains, pulleys, couplings, bushes and so on. We also can accept orders
of  non-standard products, such as gears, shafts, punching parts ect, according to customers’ Drawings or sam-
ples. 

Our company has complete set of equipment including CNC, lathes, milling machines, gear hobbing machine, g-
ear grinding machine, gear honing machine, gear shaping machine, worm grinder, grinding machines, drilling m-
achines, boringmachines, planer, drawing benches, punches, hydraulic presses, plate shearing machines and s-
o on. We have advanced testing equipments also. 

Our company has established favorable cooperation relationships with sub-suppliers involving casting, raw mat-
erial, heat treatment, surface finishing and so on.

Analytical Approaches to Estimating Contact Pressures in Spline Couplings

A spline coupling is a type of mechanical connection between 2 rotating shafts. It consists of 2 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 1 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 2 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 2 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 1 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 4 different performance requirement specifications for each spline.
The results of the analysis show that there are 2 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 2 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.

Product Description

Overview
———————————————————————————————————————————————————————————————————————————————–
Quick Details
Gearing Arrangement:    Helical                                                                                                                Brand Name:                   EED
Input Speed:                     1400 rpm                                                                                                           Output Speed:                 4.8 rpm to 1075 rpm
Rated Power:                    0.12 ~ 160KW                                                                                                  Gear Ratio:                       2.64-251.25
Color:                                 Blue/Silver or on request                                                                                Origin:                               ZHangZhoug, China (Mainland)         
Warranty:                           1 Year                                                                                                                Application:                      Industry    
———————————————————————————————————————————————————————————————————————————————–
Supply Ability
Supply Ability:                   20000 Piece/Pieces per Month
Extra Service:                    OEM is welcome         
QC System:                        ISO9001:2008
———————————————————————————————————————————————————————————————————————————————–
Packaging & Delivery
Package:                            Wooden box/Paper carton    
Port:                                    HangZhou/ZheJiang  or on request     
———————————————————————————————————————————————————————————————————————————————–

1. K series helical-bevel gearbox is the combination transmission structure using helical gears and spiral bevel gears,
more large transmission torque and steady runnin higher efficiency with right angle Installation type

2. Little vibration and low noise, with large transmission ratio, the transmission efficiency is higher

3. The material of gears is 20CrMnTi alloy steel and the hardness can reach to HRC58° ~ 62° After tempering, ceme-
ntiting, quenching etc. Heat treatment. All the gears are processed by accurate grinding and the precision can reach
to grade 6~5.

4. Installation: Foot-mounted, flange, torque arm and so on; Output type: Solid shaft, hollow shaft and can choose to
add one-key, spline, or shrink disc connection. Input Model: Directly connected with motor, flange input or shaft input.

About CZPT since 1984
HangZhou Melchizedek Import & Export Co., Ltd. is a leader manufactur in mechanism field and punching/stamp
ing field since 1984. Our main product, NMRV worm gear speed reducer and helical gearbox, XDR,
XDF, XDK, XDShave reached the advanced technique index of the congeneric European and Janpanese produc
ts, We offer standard gears, sprockets, chains, pulleys, couplings, bushes and so on. We also can accept orders
of  non-standard products, such as gears, shafts, punching parts ect, according to customers’ Drawings or sam-
ples. 

Our company has complete set of equipment including CNC, lathes, milling machines, gear hobbing machine, g-
ear grinding machine, gear honing machine, gear shaping machine, worm grinder, grinding machines, drilling m-
achines, boringmachines, planer, drawing benches, punches, hydraulic presses, plate shearing machines and s-
o on. We have advanced testing equipments also. 

Our company has established favorable cooperation relationships with sub-suppliers involving casting, raw mat-
erial, heat treatment, surface finishing and so on.

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 4 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 1 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 1 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 1 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 1 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 1 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 2 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 2 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 2 pressure angles. It is often used when the splined shaft material is harder than usual.

Product Description

Overview
———————————————————————————————————————————————————————————————————————————————–
Quick Details
Gearing Arrangement:    Helical                                                                                                                Brand Name:                   EED
Input Speed:                     1400 rpm                                                                                                           Output Speed:                 4.8 rpm to 1075 rpm
Rated Power:                    0.12 ~ 160KW                                                                                                  Gear Ratio:                       2.64-251.25
Color:                                 Blue/Silver or on request                                                                                Origin:                               ZHangZhoug, China (Mainland)         
Warranty:                           1 Year                                                                                                                Application:                      Industry    
———————————————————————————————————————————————————————————————————————————————–
Supply Ability
Supply Ability:                   20000 Piece/Pieces per Month
Extra Service:                    OEM is welcome         
QC System:                        ISO9001:2008
———————————————————————————————————————————————————————————————————————————————–
Packaging & Delivery
Package:                            Wooden box/Paper carton    
Port:                                    HangZhou/ZheJiang  or on request     
———————————————————————————————————————————————————————————————————————————————–

1. S series worm gearboxes is the combination transmission structure using helical gears and worm l gears, with right angle Installation type

2. Little vibration and low noise, with large transmission ratio, the transmission efficiency is higher

3. The material of gears is 20CrMnTi alloy steel and the hardness can reach to HRC58° ~ 62° After tempering, cementiting, quenching etc.
Heat treatment. All the gears are processed by accurate grinding and the precision can reach to grade 6~5.

4. Installation: Foot-mounted, flange, torque arm and so on; Output type: Solid shaft, hollow shaft and can choose to add one-key, spline, or
shrink disc connection. Input Model: Directly connected with motor, flange input or shaft input.

About CZPT since 1984
HangZhou Melchizedek Import & Export Co., Ltd. is a leader manufactur in mechanism field and punching/stamp
ing field since 1984. Our main product, NMRV worm gear speed reducer and series helical gearbox, XDR,
XDF, XDK, XDShave reached the advanced technique index of the congeneric European and Janpanese produc
ts, We offer standard gears, sprockets, chains, pulleys, couplings, bushes and so on. We also can accept orders
of  non-standard products, such as gears, shafts, punching parts ect, according to customers’ Drawings or sam-
ples. 

Our company has complete set of equipment including CNC, lathes, milling machines, gear hobbing machine, g-
ear grinding machine, gear honing machine, gear shaping machine, worm grinder, grinding machines, drilling m-
achines, boringmachines, planer, drawing benches, punches, hydraulic presses, plate shearing machines and s-
o on. We have advanced testing equipments also. 

Our company has established favorable cooperation relationships with sub-suppliers involving casting, raw mat-
erial, heat treatment, surface finishing and so on.

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 2 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 6 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, 3 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.

Product Description

Overview
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Quick Details
Gearing Arrangement:    Helical                                                                                                                Brand Name:                   EED
Input Speed:                     1400 rpm                                                                                                           Output Speed:                 4.8 rpm to 1075 rpm
Rated Power:                    0.12 ~ 160KW                                                                                                  Gear Ratio:                       2.64-251.25
Color:                                 Blue/Silver or on request                                                                                Origin:                               ZHangZhoug, China (Mainland)         
Warranty:                           1 Year                                                                                                                Application:                      Industry    
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Supply Ability
Supply Ability:                   20000 Piece/Pieces per Month
Extra Service:                    OEM is welcome         
QC System:                        ISO9001:2008
———————————————————————————————————————————————————————————————————————————————–
Packaging & Delivery
Package:                            Wooden box/Paper carton    
Port:                                    HangZhou/ZheJiang  or on request     
———————————————————————————————————————————————————————————————————————————————–

1. S series worm gearboxes is the combination transmission structure using helical gears and worm l gears, with right angle Installation type

2. Little vibration and low noise, with large transmission ratio, the transmission efficiency is higher

3. The material of gears is 20CrMnTi alloy steel and the hardness can reach to HRC58° ~ 62° After tempering, cementiting, quenching etc.
Heat treatment. All the gears are processed by accurate grinding and the precision can reach to grade 6~5.

4. Installation: Foot-mounted, flange, torque arm and so on; Output type: Solid shaft, hollow shaft and can choose to add one-key, spline, or
shrink disc connection. Input Model: Directly connected with motor, flange input or shaft input.

About CZPT since 1984
HangZhou Melchizedek Import & Export Co., Ltd. is a leader manufactur in mechanism field and punching/stamp
ing field since 1984. Our main product, NMRV worm gear speed reducer and series helical gearbox, XDR,
XDF, XDK, XDShave reached the advanced technique index of the congeneric European and Janpanese produc
ts, We offer standard gears, sprockets, chains, pulleys, couplings, bushes and so on. We also can accept orders
of  non-standard products, such as gears, shafts, punching parts ect, according to customers’ Drawings or sam-
ples. 

Our company has complete set of equipment including CNC, lathes, milling machines, gear hobbing machine, g-
ear grinding machine, gear honing machine, gear shaping machine, worm grinder, grinding machines, drilling m-
achines, boringmachines, planer, drawing benches, punches, hydraulic presses, plate shearing machines and s-
o on. We have advanced testing equipments also. 

Our company has established favorable cooperation relationships with sub-suppliers involving casting, raw mat-
erial, heat treatment, surface finishing and so on.

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.

Product Description

Overview
———————————————————————————————————————————————————————————————————————————————–
Quick Details
Gearing Arrangement:    Helical                                                                                                                Brand Name:                   EED
Input Speed:                     1400 rpm                                                                                                           Output Speed:                 4.8 rpm to 1075 rpm
Rated Power:                    0.12 ~ 160KW                                                                                                  Gear Ratio:                       2.64-251.25
Color:                                 Blue/Silver or on request                                                                                Origin:                               ZHangZhoug, China (Mainland)         
Warranty:                           1 Year                                                                                                                Application:                      Industry    
———————————————————————————————————————————————————————————————————————————————–
Supply Ability
Supply Ability:                   20000 Piece/Pieces per Month
Extra Service:                    OEM is welcome         
QC System:                        ISO9001:2008
———————————————————————————————————————————————————————————————————————————————–
Packaging & Delivery
Package:                            Wooden box/Paper carton    
Port:                                    HangZhou/ZheJiang  or on request     
———————————————————————————————————————————————————————————————————————————————–

1. S series worm gearboxes is the combination transmission structure using helical gears and worm l gears, with right angle Installation type

2. Little vibration and low noise, with large transmission ratio, the transmission efficiency is higher

3. The material of gears is 20CrMnTi alloy steel and the hardness can reach to HRC58° ~ 62° After tempering, cementiting, quenching etc.
Heat treatment. All the gears are processed by accurate grinding and the precision can reach to grade 6~5.

4. Installation: Foot-mounted, flange, torque arm and so on; Output type: Solid shaft, hollow shaft and can choose to add one-key, spline, or
shrink disc connection. Input Model: Directly connected with motor, flange input or shaft input.

About CZPT since 1984
HangZhou Melchizedek Import & Export Co., Ltd. is a leader manufactur in mechanism field and punching/stamp
ing field since 1984. Our main product, NMRV worm gear speed reducer and series helical gearbox, XDR,
XDF, XDK, XDShave reached the advanced technique index of the congeneric European and Janpanese produc
ts, We offer standard gears, sprockets, chains, pulleys, couplings, bushes and so on. We also can accept orders
of  non-standard products, such as gears, shafts, punching parts ect, according to customers’ Drawings or sam-
ples. 

Our company has complete set of equipment including CNC, lathes, milling machines, gear hobbing machine, g-
ear grinding machine, gear honing machine, gear shaping machine, worm grinder, grinding machines, drilling m-
achines, boringmachines, planer, drawing benches, punches, hydraulic presses, plate shearing machines and s-
o on. We have advanced testing equipments also. 

Our company has established favorable cooperation relationships with sub-suppliers involving casting, raw mat-
erial, heat treatment, surface finishing and so on.

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.