CN-115618511-B - Involute spline tooth flank matching helix angle generation method and generation device
Abstract
The invention discloses a generating method and a generating device of involute spline tooth flank matching helix angle, wherein the generating method of involute spline tooth flank matching helix angle comprises the following steps of obtaining input spline modulus, tooth form tolerance, machining tolerance, external spline action tooth thickness upper deviation and spline combination length; determining an actual tooth groove width and an actual tooth thickness according to the spline modulus, the tooth form tolerance, the machining tolerance and the deviation of the external spline on the acting tooth thickness, calculating the difference value of the actual tooth groove width and the actual tooth thickness to form a fit clearance, obtaining an input interference ratio, and determining a helix angle according to the interference ratio, the fit clearance and the spline combination length. The helical angle obtained by the method for generating the involute spline flank mating helical angle can effectively reduce spline mating clearance, thereby eliminating abnormal sound at the end part of the driving wheel.
Inventors
- WANG ZHONGREN
- WANG YOU
- XIONG WEI
- LIU HAISHENG
Assignees
- 湖北文理学院
Dates
- Publication Date
- 20260512
- Application Date
- 20221011
Claims (4)
- 1. The method for generating the involute spline flank matching helix angle is characterized by comprising the following steps of: Acquiring input spline modulus, tooth form tolerance, machining tolerance, external spline action tooth thickness upper deviation and spline combination length; Determining an actual tooth groove width and an actual tooth thickness according to the spline modulus, the tooth form tolerance, the machining tolerance and the deviation of the external spline acting tooth thickness; calculating a difference between the actual tooth width and the actual tooth thickness to form a fit clearance; Acquiring an input interference ratio, and determining a helix angle according to the interference ratio, the fit clearance and the spline combination length; the step of determining the actual tooth width and the actual tooth thickness according to the spline modulus, the tooth form tolerance, the machining tolerance and the deviation in the external spline acting tooth thickness comprises the following steps: determining a minimum actual tooth groove width according to the spline modulus and the tooth form tolerance; determining an actual tooth groove width according to the minimum actual tooth groove width and the machining tolerance; Determining a minimum actual tooth thickness according to the spline modulus, the tooth form tolerance, the machining tolerance and the external spline acting tooth thickness upper deviation; determining an actual tooth thickness according to the minimum actual tooth thickness and the machining tolerance; the step of determining a minimum actual tooth width based on the spline modulus and the tooth form tolerance comprises: calculating according to the spline modulus, the tooth form tolerance and a first preset formula to obtain the minimum actual tooth groove width; The first preset formula is: Emin=0.5π*m+λ; wherein Emin is the minimum actual tooth width, m is the spline modulus, and λ is the tooth form tolerance; the step of determining an actual tooth slot width based on the minimum actual tooth slot width and the machining tolerance comprises: Acquiring an input first proportional coefficient; Calculating according to the first proportion coefficient, the minimum actual tooth groove width, the machining tolerance and a second preset formula to obtain an actual tooth groove width; The second preset formula is: E=Emin+a*T; Wherein E is the actual tooth groove width, emin is the minimum actual tooth groove width, a is the first scale factor, and T is the machining tolerance; The step of determining a minimum actual tooth thickness based on the spline modulus, the tooth form tolerance, the machining tolerance, and the external spline-applied tooth thickness deviation comprises: calculating according to the spline modulus, the tooth form tolerance, the machining tolerance, the upper deviation of the external spline acting tooth thickness and a third preset formula to obtain the minimum actual tooth thickness; The third preset formula is: Smin=0.5π*m +es-(T+λ); Wherein Smin is the minimum actual tooth thickness, m is the spline modulus, es is the deviation of the external spline acting tooth thickness, T is the machining tolerance, and λ is the tooth form tolerance; The step of determining an actual tooth thickness based on the minimum actual tooth thickness and the machining tolerance comprises: Acquiring an input second proportionality coefficient; calculating according to the second proportionality coefficient, the minimum actual tooth thickness, the machining tolerance and a fourth preset formula to obtain actual tooth thickness; The fourth preset formula is: S=Smin+b*T; wherein S is the actual tooth thickness, smin is the minimum actual tooth thickness, b is the second scaling factor, and T is the machining tolerance; The step of determining the helix angle based on the interference ratio, the fit clearance, and the spline bond length comprises: calculating according to the interference ratio, the fit clearance, the spline combination length and a fifth preset formula to obtain a helix angle; The fifth preset formula is: β=atan(C/(L-η*L)); Wherein beta is the helix angle, C is the fit clearance, eta is the interference ratio, and L is the spline joint length.
- 2. The method of generating an involute spline flank mating helix angle according to claim 1, wherein the step of obtaining an input interference ratio and determining a helix angle based on the interference ratio, the mating clearance, and the spline coupling length further comprises: acquiring an input deviation coefficient; and determining the corrected helix angle according to the deviation coefficient and the helix angle.
- 3. The method of generating an involute spline flank mating helix angle according to claim 2, wherein said step of determining a modified helix angle based on said coefficient of deviation and said helix angle comprises: calculating according to the deviation coefficient, the helix angle and a sixth preset formula to obtain a corrected helix angle; the sixth preset formula is: α=β±ζ*β; Wherein α is the helix angle after correction, β is the helix angle, and ζ is the deviation coefficient.
- 4. A generating device of involute spline tooth flank mating helix angle, characterized in that the generating device of involute spline tooth flank mating helix angle comprises a memory, a processor and a helix angle generating program stored on the memory and operable on the processor, the helix angle generating program being configured to implement the steps of the generating method of involute spline tooth flank mating helix angle of any one of claims 1 to 3.
Description
Involute spline tooth flank matching helix angle generation method and generation device Technical Field The invention relates to the technical field of automobiles, in particular to a generation method and a generation device for involute spline tooth profile matched helix angle. Background The involute spline pair is widely applied to the transmission shaft connection in the power machinery fields of automobiles, ships, aviation and the like due to the advantages of good centering, uniform stress, self centering, high strength, long service life and the like, and particularly has the most wide application in the automobile field. In order to ensure interchangeability of products in mass production, internal and external splines on a transmission connecting element are generally designed by adopting small clearance tooth side matching. In recent years, due to the rapid increase of market demands, many fuel oil automobile design concepts and elements are directly copied to the electric automobile design field, and thus, the NVH problem of many electric automobiles is generated. The electric vehicle is different from the fuel oil vehicle in a power transmission system, power is transmitted to a driving wheel through a motor, a speed reducer, a differential mechanism and a half shaft in sequence, and at the tail end of the automobile transmission system, a spline pair is connected with the half shaft and the driving wheel at present. However, the electric automobile engine has working conditions of large starting torque, low noise and the like, so that the problem that the end part of the driving wheel is abnormal in the main flow of the whole automobile factory in China is caused, and the quality of the whole automobile is influenced. The research shows that the problem of abnormal sound at the end part of the driving wheel of the electric automobile can be effectively solved by using the external spline with the spiral angle and the internal spline to be matched. Therefore, it is highly desirable to provide a method of generating involute spline flank mating helix angles to achieve helix angles that effectively reduce spline mating clearances and eliminate drive wheel end rattles. Disclosure of Invention The invention mainly aims to provide a generating method and a generating device of involute spline tooth flank matching helix angles, and aims to provide a generating method of involute spline tooth flank matching helix angles, so as to obtain the helix angles which can effectively reduce spline matching gaps and eliminate abnormal noise at the end parts of driving wheels. In order to achieve the above purpose, the invention provides a method for generating involute spline tooth flank matching helix angle, which comprises the following steps: Acquiring input spline modulus, tooth form tolerance, machining tolerance, external spline action tooth thickness upper deviation and spline combination length; Determining an actual tooth groove width and an actual tooth thickness according to the spline modulus, the tooth form tolerance, the machining tolerance and the deviation of the external spline acting tooth thickness; calculating a difference between the actual tooth width and the actual tooth thickness to form a fit clearance; And obtaining an input interference ratio, and determining a helix angle according to the interference ratio, the fit clearance and the spline combination length. Optionally, the step of determining the actual tooth width and the actual tooth thickness based on the spline modulus, the tooth form tolerance, the machining tolerance, and the external spline-applied tooth thickness deviation comprises: determining a minimum actual tooth groove width according to the spline modulus and the tooth form tolerance; determining an actual tooth groove width according to the minimum actual tooth groove width and the machining tolerance; Determining a minimum actual tooth thickness according to the spline modulus, the tooth form tolerance, the machining tolerance and the external spline acting tooth thickness upper deviation; And determining the actual tooth thickness according to the minimum actual tooth thickness and the machining tolerance. Optionally, the step of determining a minimum actual tooth width according to the spline modulus and the tooth form tolerance comprises: calculating according to the spline modulus, the tooth form tolerance and a first preset formula to obtain the minimum actual tooth groove width; The first preset formula is: Emin=0.5π*m+λ; Wherein Emin is the minimum actual tooth width, m is the spline modulus, and λ is the tooth form tolerance. Optionally, the step of determining the actual tooth slot width based on the minimum actual tooth slot width and the machining tolerance comprises: Acquiring an input first proportional coefficient; Calculating according to the first proportion coefficient, the minimum actual tooth groove width, the machining tolerance and a second