Effect of static transmission error on dynamic responses of spiral bevel gears
来源期刊：中南大学学报(英文版)2013年第3期
论文作者：Tang Jin-yuan(唐进元) Hu Ze-hua(胡泽华) Wu Li-juan(吴丽娟) Chen Si-yu(陈思雨)
文章页码：640 - 647
Key words：spiral bevel gear; static transmission error; dynamic response; bifurcation
Abstract: The effect of static transmission error on nonlinear dynamic response of the spiral bevel gear system combining with time-varying stiffness and backlash was investigated. Firstly, two different control equations of the spiral bevel gear model were adopted, where the static transmission error was expressed in two patterns as predesigned parabolic function and sine function of transmission errors. The dynamic response, bifurcation map, time domain response, phase curve and Poincare map were obtained by applying the explicit Runge-Kutta integration routine with variable-step. A comparative study was carried out and some profound phenomena were detected. The results show that there are many different kinds of tooth rattling phenomena at low speed. with the increase of speed, the system enters into stable motion without any rattling in the region (0.72, 1.64), which indicates that the system with predesigned parabolic function of transmission error has preferable capability at high speed.
Tang Jin-yuan(唐进元), Hu Ze-hua(胡泽华), Wu Li-juan(吴丽娟), Chen Si-yu(陈思雨)
(State Key Laboratory of High Performance Complex Manufacturing, (Central South University),
Changsha 410083, China)
Abstract:The effect of static transmission error on nonlinear dynamic response of the spiral bevel gear system combining with time-varying stiffness and backlash was investigated. Firstly, two different control equations of the spiral bevel gear model were adopted, where the static transmission error was expressed in two patterns as predesigned parabolic function and sine function of transmission errors. The dynamic response, bifurcation map, time domain response, phase curve and Poincare map were obtained by applying the explicit Runge-Kutta integration routine with variable-step. A comparative study was carried out and some profound phenomena were detected. The results show that there are many different kinds of tooth rattling phenomena at low speed. with the increase of speed, the system enters into stable motion without any rattling in the region (0.72, 1.64), which indicates that the system with predesigned parabolic function of transmission error has preferable capability at high speed.
Key words:spiral bevel gear; static transmission error; dynamic response; bifurcation
