Method for simulation analysis on meshing stiffness of cylindrical spur gear undergoing damaged single-tooth failure

Abstract

The invention relates to a method for the simulation analysis on the meshing stiffness of a cylindrical spur gear undergoing damaged single-tooth failure. The method comprises the following steps: firstly, setting the correction coefficient of the meshing stiffness of single-tooth and double-tooth meshing section on the basis of the calculation results of the average stiffness according to the finite element method and the national standard method, so as to improve the calculation accuracy of the meshing stiffness of a normal gear according to the energy method; secondly, establishing a finite element model of the spur gear undergoing damaged failure targeting on the failure location of the spur gear by combining the three-dimensional modeling software and the finite-element analysis software, and compiling a simulation calculation program by using the computer language, so as to calculate the time-varying meshing stiffness; and finally, integrating the calculation results of the two steps to obtain the integrated meshing stiffness of the spur gear. By fully integrating the advantages of the corrected energy method and the finite element method, the invention can not only guarantee the calculation accuracy, but also improve the calculation efficiency. The method of the invention for the simulation calculation of the meshing stiffness of the gear undergoing damaged single-tooth failure is effectively applicable in the research on the vibration response mechanism of a gear system.

Description

technical field [0001] The invention belongs to the technical field of gear measurement, in particular to a simulation analysis method for meshing stiffness of faulty gears, in particular to a simulation analysis of time-varying meshing stiffness of cylindrical spur gears with damaging single-tooth faults based on modified energy method and finite element method method. Background technique [0002] Gears are one of the most widely used and most prone to failure parts in mechanical transmission equipment. The meshing stiffness of gears has a significant influence on the dynamic performance of gear transmission. The time-varying mesh stiffness is one of the main dynamic excitation sources for the vibration response of the gear transmission system. The study of tooth deformation and mesh stiffness variation with mesh position is the basis of research on tooth modification, dynamic characteristics, fault diagnosis and life prediction. Therefore, it is necessary to deeply stu...

AI Technical Summary

Problems solved by technology

The energy method derives the integral formula of the stiffness based on the knowledge of elastic mechanics, and uses the numerical calculation software to calculate the numerical solution of the time-varying meshing stiffness. This method has high calculation efficiency but the accuracy and the calculation of the meshing stiffness of the faulty gear are not ideal.

The finite element method generally uses finite element analysis software to establish a finite element model of the gear pair contact, and calculates the time-varying meshing stiffness of the gear through the nonlinear contact analysis function. The calculation accuracy is high, but the calculation amount is large and the efficiency is not high.

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