正交面齿轮传动系统分岔特性

杨振, 王三民, 范叶森, 刘海霞

西北工业大学机电学院



摘要:

为了研究面齿轮传动的非线性动力学分岔特性,建立了包含支承、齿侧间隙、时变啮合刚度、综合误差、阻尼和外激励等参数的系统弯-扭耦合动力学模型,并使用PNF(Poincaré-Newton-Floquet)方法对系统进行了求解.计算结果表明:当时变啮合刚度幅值系数从0.4增加到0.5时,系统会由倍周期分岔进入混沌;当啮合阻尼比由0.061 000 0减小到0.060 000 0时,系统会经过拟周期分岔进入混沌;当量纲一化综合传动误差幅值从0.120减小到0.112时,系统会发生边界激变后进入混沌.

关键词:  面齿轮传动  分岔  混沌  动载系数

DOI：10.11918/j.issn.0367-6234.2011.03.022

分类号:TH132.41

基金项目:国家高技术研究发展计划资助项目(SQ2008AA04Z3474065)



Bifurcation charactristics of face-gear transmission system

YANG Zhen, WANG San-min, FAN Ye-sen, LIU Hai-xia

School of Mechanical Engineering,Northwest Polytechnical University, Xi’an 710072,China

Abstract:

To study the non-linear bifurcation characteristics of face-gear transmission system,a nonlinear dynamic model is presented.This model includes bearings,backlash,time-varying meshing stiffness,general transmission error,meshing damping,and external load,etc.The PNF(Poincaré-Newton-Floquet) method is used to solve the dynamic differential equations.The calculation results show: when the amplitude coefficient of time-varying meshing stiffness increases from 0.4 to 0.5,the system will go into chaos through period-doubling bifurcation;when the meshing damping ratio decreases from 0.061 000 0 to 0.060 000 0,the system will enter chaos through quasi-periodicity bifurcation;when non-dimension amplitude of general transmission error decreases from 0.120 to 0.112,the system will appear boundary cataclysm.

Key words:  face-gear transmission  bifurcation  chaos  dynamic-load coefficient