A Simulation Method Considering Non-Uniformly Distributed Root Cracks

A technology of non-uniform distribution and simulation method, applied in design optimization/simulation, instrument, geometric CAD, etc., can solve the problems of insignificant dynamic response of a single slice tooth, unable to accurately simulate the effect of meshing force, etc., and achieve accurate theoretical guidance Effect

Active Publication Date: 2022-07-22
SOUTHWEST JIAOTONG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] The purpose of the present invention is to overcome the defects in the prior art that the gear dynamics equation and the dynamic response of a single slice tooth are not obvious, and the effect of meshing force on the slice teeth corresponding to cracks of different depths cannot be accurately simulated, and provide a method that considers non- The simulation method of evenly distributed tooth root crack faults fully considers the influence of the meshing force effect on the slice teeth corresponding to different depth cracks on the system dynamics, and more accurately reflects the dynamic characteristics of the gear transmission system under local non-uniform fault excitation , to provide more accurate theoretical guidance for gear fault diagnosis

Method used

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  • A Simulation Method Considering Non-Uniformly Distributed Root Cracks
  • A Simulation Method Considering Non-Uniformly Distributed Root Cracks
  • A Simulation Method Considering Non-Uniformly Distributed Root Cracks

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Embodiment 1

[0041] figure 1 A dynamic model of a gear transmission system under non-uniformly distributed root crack excitation of an exemplary embodiment of the present invention is shown, in this model, the prescribed positive directions of the longitudinal, transverse, vertical, roll, nod, and yaw degrees of freedom are as follows: figure 1 shown; bearing mass M b Focusing on the center of mass of the object, the big and small gears and the shaft are regarded as a whole, and its mass M g \M p and moment of inertia J g \J p All are concentrated on the center of mass of the gear. The gear meshing, the contact between the inner and outer rings of the bearing, and the contact between the outer ring of the bearing and the bearing seat are equivalent to spring-damping units, regardless of the rotation and revolution of the rolling elements inside the bearing and their dynamic interactions with the cage and the inner and outer rings. , and assume that the meshing force of each slicing too...

Embodiment 2

[0088] The design parameters of the gears to be simulated in the gear transmission system are shown in Table 1:

[0089] Table 1 Gear design parameters

[0090]

[0091] Further, for the current usage of the gear to be simulated (including the age of the gear, the application environment, etc.: the smaller the crack depth of the gear with a short service life, the larger the crack depth and length of the gear with complex working environment and large environmental vibration). According to the evaluation results, set the crack parameters of the gear to be simulated (including: crack length, crack depth, crack angle), collect the design parameters of the current gear to be simulated, and substitute the design parameters and crack parameters into In the dynamic equation of the gear transmission system based on the sliced ​​teeth, the dynamic response of the current gear to be simulated is obtained by solving. In this example, the relevant crack parameters are: the crack dept...

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Abstract

The invention discloses a simulation method for considering non-uniformly distributed tooth root crack faults. formula to solve the time-varying meshing stiffness of a plurality of the sliced ​​teeth; calculate the time-varying meshing force of the sliced ​​teeth based on the calculation formula of the dynamic transmission error of the sliced ​​teeth and the time-varying meshing stiffness, and consider the moment generated by the meshing force of each sliced ​​tooth relative to the center of mass of the gear, Then the gear system dynamics equation is established; the current gear system parameters to be simulated are substituted into the gear system dynamics equation to obtain the dynamic response of the gear system. The present invention fully considers the effect of the meshing force generated during the meshing process of the sliced ​​teeth corresponding to the non-uniform cracks along the tooth width direction on the system dynamics. Compared with the traditional analysis method, the analysis method proposed by the present invention can more accurately reflect the local Dynamics of a geared transmission system under non-uniform fault excitation.

Description

technical field [0001] The invention relates to the technical field of mechanical dynamics, in particular to a simulation method for considering non-uniformly distributed tooth root crack faults. Background technique [0002] The main function of the gear transmission system is to transmit power and motion. Because of its advantages of stable transmission ratio, large transmission power, stable transmission ratio, high bearing capacity and long service life, it is widely used in various fields such as rail transit, ships, and aerospace. In complex mechanical equipment, it is the most common mechanical transmission method. During the meshing process of the gears, the comprehensive meshing stiffness of the gear transmission exhibits a time-varying periodicity because the number of tooth pairs participating in the meshing exhibits a periodic alternation. The transmission error is mainly composed of gear geometric parameters such as manufacturing error, assembly error, tooth pr...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/17G06F30/20G06F119/14
CPCG06F30/17G06F30/20G06F2119/14
Inventor 陈再刚宁婕妤刘禹清周子伟
Owner SOUTHWEST JIAOTONG UNIV
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