Tag Archives: agriculture farming

China manufacturer Hot Selling Europe Ce Approved 100-120HP 4X4 4WD Agriculture Wheel Farming Tractor Made in China with Good quality

Product Description

Hot selling Europe CE Approved 100-120HP 4×4 4WD Agriculture Wheel Farming Tractor Made in China

Tractor Main Features and Advantages:
1.Equipped famous brand engine showing advanced capacity,low fuel consumption,high economic efficiency.
2. Streamlined appearance design, beautiful and generous.
3.Transmission Case adopt meshed shift and add the gearbox interlock device makes the operation more smoothly,reliable and easier.
4. Double action clutch with disc spring, perform steadily and easy to operate.
5. Fully hydraulic steering system greatly reduced driver’s work strength.
6. Wet disc brake device, reliable brake performance.
7. Separate injection of hydraulic oil, reliable to operate.
8. The lifter with force and position adjustment, with reliable lift.
9. Tractor PTO:
PTO in Double speed : 540/760r/min Optional, For high working efficiency.
PTO shaft of 6 or 8 spline Optional, adaptable for agricultural equipment of all over the world.
10. Big Chassis and Heavy-duty Rear axle for Durable Strong machine.
11. Full series light, ROPS,Sunshade/Canopy, Fan/Heater/Air-conditioned cabin are all available, for more comfortable driving environment. 

Tractor Main specificaiton and Technical parameters:

Tractor Model DQ1004
Drive type 4×4, 4WD
Engine
Engine type YTO or CZPT brand, 4 cylinder diesel engine
Capacity of fuel tank(L) 150
Rated speed (r/min) 2300
Engine power at rated speed(kw/hp) 73.5kw/100HP
Transmission
Clutch Dry,Dual-stage type
PTO Speed (rpm) 540/1000 or 760/1000
Gear shift 8F+4R/16F+8R(optional)/8F+8R(optional)
Hydraulic system
Hydraulic output valve 2-Group (optional)
Three point linkage
Category of 3-point link Category II
Lifting force @ point of 610mm) KN >16
Technical parameter
Dimension (LxWxH) (mm) 4593x2050x2810
Wheel base(mm) 2195
Track base(mm) front wheel 1610
Track base(mm) rear wheel 1620-2571 (usual 1620)
The smallest clearance(mm) 379
Front tyre 11.2-24
Rear tyre 16.9-34(common)/18.4-30(optional)
Optional Configurations
Common cabin with Fan; Heater cabin; AC cabin; ROPS; Canopy (Sunshade); 8F+8R shuttle gearshift, 16F+4R creeper gearshift, 2-Group Hydraulic output valve; Front ballast, Rear ballast; Paddy tire, 7.5-16 front tire, 18.4-30 big rear tire, 6 cylinder diesel engine, Heavy-duty rear, Air brake, Swing draw bar
Loading Quantity/40HC 3 Sets in Nude packing for CBU shipping

DQ1004 100HP 4WD Tractor Details :

DQ1004 100HP 4WD Tractor have different Optional configurations for choose:

Advance Manufacutring Line:

Strictly Inspecting and Full Testing for ensuring high quality product:

Tractor Packing, Loading container and  Delivering goods to Customers :

Perfect after-sale service for both Distributors and Private customers:

Please contact us if you have any demand for our product :

Best price will be quoted for you as soon as receive your Requirement !

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.
splineshaft

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.
splineshaft

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.
splineshaft

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.

China manufacturer Hot Selling Europe Ce Approved 100-120HP 4X4 4WD Agriculture Wheel Farming Tractor Made in China     with Good qualityChina manufacturer Hot Selling Europe Ce Approved 100-120HP 4X4 4WD Agriculture Wheel Farming Tractor Made in China     with Good quality

China factory Made in China CZPT Dq1204 120HP 6 Cylinder Yto Engine 4WD Agriculture Wheel Farming Tractor with Cabin with Good quality

Product Description

Made in China Tractors DQ1204 120HP 6 cylinder YTO engine 4WD  Agriculture wheel Farming Tractor with cabin

Tractor Main Features and Advantages:
1.Equipped famous brand engine showing advanced capacity,low fuel consumption,high economic efficiency.
2. Streamlined appearance design, beautiful and generous.
3.Transmission Case adopt meshed shift and add the gearbox interlock device makes the operation more smoothly,reliable and easier.
4. Double action clutch with disc spring, perform steadily and easy to operate.
5. Fully hydraulic steering system greatly reduced driver’s work strength.
6. Wet disc brake device, reliable brake performance.
7. Separate injection of hydraulic oil, reliable to operate.
8. The lifter with force and position adjustment, with reliable lift.
9. Tractor PTO:
PTO in Double speed : 540/760r/min Optional, For high working efficiency.
PTO shaft of 6 or 8 spline Optional, adaptable for agricultural equipment of all over the world. 
10. Big Chassis and Heavy-duty Rear axle for Durable Strong machine.
11. Full series light, ROPS,Sunshade/Canopy, Fan/Heater/Air-conditioned cabin are all available, for more comfortable driving environment. 

Tractor Main specificaiton and Technical parameters:

DQ1204 120HP 4W D Tractor details show :

DQ1204 120HP 4WD have Various Optional configurations and colors for choose:

Advance Manufacutring Line:

Strictly Inspecting and Full Testing for ensuring high quality product:

Tractor Packing and Loading container for Delivering goods :

Please contact us if you have any demand for our product,

Best price will be quoted for you as soon as receive your Requirement !

 

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.
splineshaft

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.
splineshaft

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.
splineshaft

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.

China factory Made in China CZPT Dq1204 120HP 6 Cylinder Yto Engine 4WD Agriculture Wheel Farming Tractor with Cabin     with Good qualityChina factory Made in China CZPT Dq1204 120HP 6 Cylinder Yto Engine 4WD Agriculture Wheel Farming Tractor with Cabin     with Good quality

China factory Zambia Hot Sale Farm Machinery Dq1504 150HP Yto Engine 4WD Agriculture Wheel Farming Tractor with Canopy wholesaler

Product Description

Zambia hot sale Farm machinery DQ1504 150HP YTO engine 4WD Agriculture wheel Farming Tractor with Canopy

Tractor Main Features and Advantages:

1.Equipped famous brand engine showing advanced capacity,low fuel consumption,high economic efficiency.
2. Streamlined appearance design, beautiful and generous.
3.Transmission Case adopt meshed shift and add the gearbox interlock device makes the operation more smoothly,reliable and easier.
4. Double action clutch with disc spring, perform steadily and easy to operate.
5. Fully hydraulic steering system greatly reduced driver’s work strength.
6. Wet disc brake device, reliable brake performance.
7. Separate injection of hydraulic oil, reliable to operate.
8. The lifter with force and position adjustment, with reliable lift.
9. Tractor PTO:
PTO in Double speed : 540/760r/min Optional, For high working efficiency.
PTO shaft of 6 or 8 spline Optional, adaptable for agricultural equipment of all over the world.
10. Big Chassis and Heavy-duty Rear axle for Durable Strong machine.
11. Full series light, ROPS,Sunshade/Canopy, Fan/Heater/Air-conditioned cabin are all available, for more comfortable driving environment. 

Tractor Main specificaiton and Technical parameters:

Model DQ1504
Drive type  4×4, 4WD wheel type
Engine
Engine brand and model YTO brand, diesel engine Model LR6M3Z-23
Type   In-line, direct injection,Water cooling, 4 stroke,6-cylinder
Aspiration way Turbo
Engine power at rated speed 110.3kw/150HP
Rated Power of PTO 94 KW
Max. traction Force (KN) 32.5
Displacement(L) 7.13
Compression ratio 18:1
Rated speed (r/min) 2300
Lowest fuel consumption (g/kw.h) ≤210
Cylinder·Bore·Stroke 6-110×125
Fuel tank capacity (L) 350
Muffler Dimension (Dia.×Length) (mm) φ600×295×140
Muffler weight (kg) 7.2
Steering type Full Hydraulic steering
Transmission
Clutch USA JpV brand, 13 inch dual-stage Clutch
PTO Speed (rpm) 540/1000
Gearshift 16F+8R
Speed range (km/h) F: 1.37-32.93 / R:2.09-30.63
Driving brake Wet, disk, hydro-static operate
Gearbox 4×2×(2+1)
Gearbox shifting way Joggle cover
Walking system
Frame type Frameless
Tyre size( front/rear) 14.9-26/18.4-38
Pressure( front/rear) (kPa) 157-196/150-200
Rim material 330CL
Working device
Lifter type Semi-detached model
Max. Lifting force (KN) 27
Suspension model Rear, three-point linkages
Suspension category  Category II or III
Adjusting control Position control, float control
Hydraulic pump type Gear pump CBN-E325L
Hydraulic output valve 3 Groups
P.T.O. type 1 type, rear
Spline no. of P.T.O. 6( standard), 8, 21
Diameter of spline 35
RPM 540/1000 or 760/1000
Technical parameter
Overall Dimension (LxWxH) (mm) 5240×2345×2995
Wheel base (mm) 2530/2657
Track base-Front /R(mm) 1650-2285 (1950 ex-work) /1620-2420 (1850 ex-work)
Track base adjusting way Limited/unlimited
Minimum ground clearance (mm)  520
Min. operational weight (kg) 4755
Front /Rear axle weight (kg) 2050/2705
Front Ballast 440kg (11 pcs, 40kg/pcs)
Rear Ballast 520kg (2 lays each side)
Covering Air-conditioning Cabin or Sunshade (Canopy)
Structure weight (kg) 5400(without cabin)/5780 (with cabin)

DQ1504 150HP 4WD Heavy duty big tractor showing:

DQ1504 150HP 4WD Tractor have Canpy(Sunshade) type and AC cabin type for choose:

Top-rank technical team and Advance R&D Center :

Advance Production workshop :

Strictly inspect for every set machine before Goods Delivery :

Company Honors and Certificates:

Personalized Packing and Transporting Service to meet different customers’ demand :

Perfect after-sale service for both Distributors and Private customers:


Please contact us if you have any demand for our Product  :

Best price will be quoted for you as soon as receive your Requirement !

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.
splineshaft

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.
splineshaft

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.
splineshaft

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.

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