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A Calculation Method of Time-varying Mesh Stiffness of Planetary Gears Based on Tooth Profile Correction Method

A time-varying mesh stiffness, planetary gear technology, applied in belt/chain/gear, complex mathematical operations, transmission parts, etc., can solve the problems of inaccurate calculation results, large amount of calculation, cumbersome calculation process, etc. Complexity, improved accuracy, simple and intuitive calculation principle

Active Publication Date: 2022-05-03
TIANJIN POLYTECHNIC UNIV
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Problems solved by technology

However, the existing methods for calculating the meshing stiffness of gear teeth have the disadvantages of large amount of calculation, cumbersome formula derivation and calculation process, and inaccurate calculation results.

Method used

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  • A Calculation Method of Time-varying Mesh Stiffness of Planetary Gears Based on Tooth Profile Correction Method
  • A Calculation Method of Time-varying Mesh Stiffness of Planetary Gears Based on Tooth Profile Correction Method
  • A Calculation Method of Time-varying Mesh Stiffness of Planetary Gears Based on Tooth Profile Correction Method

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Embodiment Construction

[0108] The present invention is described in detail below in conjunction with accompanying drawing, as appended figure 1 As shown, a method for calculating the time-varying meshing stiffness of planetary gears based on the tooth profile correction method includes the following specific steps:

[0109] Step 1: Define the basic parameters of the sun gear, planetary gear and ring gear, including: number of teeth z, modulus m, tooth width B, addendum height coefficient h a *, head gap coefficient c*, indexing circle pressure angle α, displacement coefficient is x (positive value is taken for positive displacement, negative value is taken for negative displacement), pitch circle pressure angle α w , the shear modulus G of the material, the elastic modulus E of the material, Poisson’s ratio μ, the rotational speed n, and the transmitted power P;

[0110] Table 1 Basic parameters of gears

[0111]

[0112] Step 2: Determine the radius of the sun gear and the planet gear as r f ...

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Abstract

The invention discloses a method for calculating the time-varying meshing stiffness of a planetary gear based on a tooth shape correction method, which belongs to the technical field of mechanical dynamics, fully considers the influence of the tooth shape on the calculation of the comprehensive meshing stiffness, and improves the calculation accuracy of the time-varying meshing stiffness of the planetary gear , including the following specific steps: First, the basic parameters of the sun gear, planetary gear and ring gear should be specified, and then the radius of the sun gear and planetary gear should be r f The relative positional relationship between the +c*m circle and the base circle, clarify the relative positional relationship between the addendum circle and the base circle of the internal gear, and then calculate the meshing stiffness of the individual teeth of the sun gear, planetary gear and internal gear, including Shear stiffness, axial tension and compression stiffness, bending stiffness, contact stiffness and flexible deformation stiffness of the gear base, and finally calculate the comprehensive time-varying meshing stiffness, including the time-varying meshing stiffness of the outer meshing of the sun gear and the planetary gear, the inner ring gear and the planetary gear The inner meshing stiffness of the wheel meshing is time-varying, and the invention has the advantages of simple principle, easy calculation and strong practicability.

Description

technical field [0001] The invention belongs to the technical field of mechanical dynamics, and relates to a calculation method for time-varying meshing stiffness of gears, in particular to a calculation method for time-varying meshing stiffness of gears based on a tooth shape correction method. Background technique [0002] The planetary gear transmission system is mainly composed of an inner ring gear, several planetary gears, a sun gear and a planet carrier, and its structure is more complicated than that of an ordinary fixed shaft gear system. The planetary gear meshes with the sun gear and the inner ring gear at the same time. Multiple pairs of sun gears-planetary gears, planetary gears-internal gears mesh. Since the planetary gears have two rotation modes of rotation and revolution at the same time, the transmission path of the vibration signal due to the meshing changes at all times, resulting in a planetary gear transmission system. The vibration signal is extremely ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/10F16H57/08
CPCG06F17/10F16H57/08F16H2057/0087
Inventor 尚志武高茂生庞海玉俞燕李万祥周士琦刘飞张宝仁
Owner TIANJIN POLYTECHNIC UNIV
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