Dynamic Analysis on the Bend-Torsion-Shaft-Pendulum Coupling Vibration Model of Helical Gear

Abstract

Based on the condition of comprehensively considering the nonlinear factors, such as backlash helical gear transmission, time-varying meshing stiffness and composition error, a coupled nonlinear dynamics model of the multi-DOF bending - torsion - axis - pendulum helical gear is built in this paper, and on the basis of the "piecewise linear" backlash function, getting backlash function that is fitting for helical gear transmission system meshing characteristics through high order fitting. The Runge-Kutta method of the variable step is used to solve the nonlinear dynamic equations of the helical gear transmission system which is deduced and non-dimensional, and the result of the nonlinear dynamic response of the helical gear transmission system is obtained. After comparison, the response results are consistent with the actual situation, which can provide reference for the production operation, etc in the actual conditions, there is practical guiding significance.