摘要
为研究分扭-并车齿轮传动系统非线性分岔特性,建立了含多间隙的分扭-并车齿轮系统非线性动力学模型,引入高斯消元技术和广义相对位移变量消除了系统的刚体位移,并对动力学方程组实施了量纲一化处理。综合考虑啮合频率、齿侧间隙、综合传动误差和阻尼比等激励下的分岔通道,借助分岔图、Poincaré截面和Lyapunov指数等手段对系统的分岔行为进行了定性和定量表征。结果表明啮合频率增大时系统发生逆向倍周期分岔,分岔点位置受齿侧间隙影响显著;齿侧间隙和综合传动误差变化下混沌域内均出现短暂周期窗口;阻尼对倍周期分岔运动存在抑制作用,其结果对该类齿轮系统动力学设计具有参考价值。
In order to investigate the nonlinear bifurcation characteristics of a split torque-combine power gear transmission,the nonlinear dynamic model of the split torque-combine power gear transmission with multiple backlashes is formulated;the rigid body displacements in dynamic equations are eliminated by adopting the Gaussian elimination technique as well as generalized relative displacement variation;dynamic equations are solved non-dimensionally.Bifurcation route under the excitation of meshing frequency,backlash,general transmission error and damping ratio are taken into account;qualitative and quantitative characteristics of bifurcation behavior are investigated by using a bifurcation diagram,the Poincarésection and the Lyapunov exponent.The investigation results show that an inverse period doubling bifurcation occurs when the meshing frequency increases;the bifurcation node is significantly affected by backlash;transient periodic windows take place inside the chaotic regions when a backlash or general transmission error varies;damping has a restraining effect on the period doubling bifurcation evolution.
作者
林何
张守京
Matthias Ratsch
王三民
Lin He;Zhang Shoujing;Matthias R?tsch;Wang Sanmin(School of Mechanical and Electrical Engineering,Xi'an Polytechnic University,Xi'an 710048,China;School of Engineering,Reutlingen University,Reutlingen 72762,Germany;School of Mechanical Engineering,Northwestern Polytechnical University,Xi'an 710072,China)
出处
《机械科学与技术》
CSCD
北大核心
2020年第1期41-46,共6页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金项目(51805402)
陕西省自然科学基础研究计划项目(2019JQ-851)
中国纺织工业联合会科技指导性项目(2018128)资助.
作者简介
林何(1985-),讲师,博士,研究方向为齿轮系统非线性动力学、混沌控制等,linhe@xpu.edu.cn
