Kinetic parameter determination method of extended tooth contact considered crack gear rotor system

Abstract

The invention relates to a kinetic parameter determination method of an extended tooth contact considered crack gear rotor system. The method comprises the following steps: obtaining a basic parameter of a healthy gear and a basic parameter and a crack parameter of a crack gear; establishing a gear meshing rigidity model, which comprises matrix rigidity, of the gear; calculating the matrix rigidity of a driving wheel of the gear and the matrix rigidity of a driven wheel of the gear by a finite element method; determining a gear matrix rigidity correction coefficient of the meshing rigidity model which comprises the matrix rigidity; determining the gear tooth deformation of the gear by a method that a gear transferring error is solved to obtain extended tooth contact considered gear time varying meshing rigidity; obtaining the basic parameters of a shaft and a bearing of a gear rotor system; obtaining a rigidity matrix K of the gear rotor system; and according to the rigidity matrix K of the gear rotor system, constructing an extended tooth contact considered rotor system vibration response analysis model, and determining a system vibration response result of the healthy gear and the crack gear.

Description

technical field [0001] The invention belongs to the technical field of mechanical dynamics, and in particular relates to a method for determining dynamic parameters of a cracked gear-rotor system considering extended meshing. Background technique [0002] The calculation of time-varying mesh stiffness is an important field in the dynamics research of cracked gears. Many researchers have proposed models for calculating time-varying mesh stiffness. There are mainly the following methods: method 1: finite element method, this method is the most widely used, because it has high accuracy and can simulate complex gear structures at the same time, based on the finite element model, the time-varying meshing stiffness can be passed at the theoretical contact point It can be realized by applying a meshing force representing the load transmitted by the gear or by establishing a contact element between the meshing teeth, but this method has low computational efficiency; method 2: analyt...

AI Technical Summary

Problems solved by technology

However, in practice gears are elastic, and this elasticity (especially in the presence of cracks) may cause the gear to mesh earlier and later than the theoretical contact point (calculated by existing analytical methods that do not consider extended meshing) out, i.e., prolonged meshing phenomenon

In addition, since two simultaneously meshing teeth share one tooth body, the time-varying meshing stiffness in the double-tooth meshing area will be much higher than the actual stiffness

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