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Planetary gear time-varying meshing stiffness calculation method 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.

Active Publication Date: 2020-09-04
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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  • Planetary gear time-varying meshing stiffness calculation method based on tooth profile correction method
  • Planetary gear time-varying meshing stiffness calculation method based on tooth profile correction method
  • Planetary gear time-varying meshing stiffness calculation method 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 planetary gear time-varying meshing stiffness calculation method based on a tooth profile correction method and belongs to the technical field of mechanical dynamics, the influence of the tooth form on the comprehensive meshing stiffness calculation is fully considered; the calculation accuracy of the planetary gear time-varying meshing stiffness is improved; the method comprises the following specific steps: firstly, defining various basic parameters of a sun gear, a planet gear and an inner gear ring; then, defining the relative position relationship between a circle with the radius of rf + c * m of the sun wheel and the planet wheel and the base circle; determining the relative position relationship between the addendum circle and the base circle of the inner gear ring; calculating the meshing stiffness of single gear teeth of the sun gear, the planet gear and the inner gear ring; wherein the rigidity comprises shearing rigidity, axial tension and compression rigidity, bending rigidity, contact rigidity and gear base body flexible deformation rigidity; finally, calculating the comprehensive time-varying meshing stiffness , wherein the stiffness comprises the outer meshing time-varying meshing stiffness of meshing of the sun gear and the planet gear and the inner meshing time-varying meshing stiffness of meshing of the inner gear ring and the planetgear, and the invention has the advantages of being simple in principle, easy to calculate and high in 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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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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