Effects of teeth surface friction and web damping and stiffness on the nonlinear dynamic of gear transmission

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (9) : 178-183.

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Effects of teeth surface friction and web damping and stiffness on the nonlinear dynamic of gear transmission

GU Cheng-zhong1,2; WU Xin-yue2; ZHANG Wen-qun2

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Abstract

A three-dimensional nonlinear dynamic model for gear transmission system is developed considering the time-varying meshing stiffness, tooth surface friction and backlash. Based on the contact point place, we deduced the expression of time-varying meshing stiffness and tooth surface friction coefficient about time, considering the dynamic distribution of load. It is difficult to solve the strongly non-linear variant differential equation, so a method is proposed which change the variant differential equation to ordinary differential equation using increase the dimension of differential equations. And the numerical solution of differential equations is obtained using 4 to 5 order adaptive variable steps Runge-Kutta method. The effects of teeth surface friction and web damping and stiffness on the nonlinear dynamic of gear is analysis systematically, and it provides a theoretical basis and directions of research for in-depth study of the gear transmission system.

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teeth surface friction / time-varying meshing stiffness / web / non-linear invariant differential equation / Runge-Kutta

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GU Cheng-zhong; WU Xin-yue; ZHANG Wen-qun. Effects of teeth surface friction and web damping and stiffness on the nonlinear dynamic of gear transmission[J]. Journal of Vibration and Shock, 2011, 30(9): 178-183