作者：LIU; Zhen-zhou; ZHANG; Jun; BIAN; Shi-...ngwplanetarygeartrainstiffnessnonlineardynamicmodelbacklashmethod
摘要：This paper aims to investigate the nonlinear dynamic behaviors of an NGW planetary gear train with multi-clearancesand manufacturing/assembling errors, For this purpose, an analytical translational - torsional coupled dynamic model isdeveloped considering the effects of time-varying stiffness, gear backlashes and component errors. Based on the proposed model,the nonlinear differential equations of motion are derived and solved iteratively by the Runge-Kutta method. An NGW planetarygear reducer with three planets is taken as an example to analyze the effects of nonlinear factors. The results indicate that thebacklashes induce complicated nonlinear dynamic behaviors in the gear Wain. With the increment of the backlashes, the gearsystem has experienced periodic responses, quasi-periodic response and chaos responses in sequence. When the planetary gearsystem is in a chaotic motion state, the vibration amplitude increases sharply, causing severe vibration and noise. The presentstudy provides a fundamental basis for design and parameter optimization of NGW planetary gear trains.
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