含惰轮的齿轮传动系统动力学分析  

Dynamic Analysis of Idler Gear Transmission System

作　　者：刘崇强 张红兵[1] 李万祥[1] LIU Chongqiang;ZHANG Hongbing;LI Wanxiang(School of Mechanical and Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《机械制造与自动化》2025年第2期52-56,共5页Machine Building & Automation

摘　　要：以含惰轮的齿轮系统为研究对象,建立惰轮系统6自由度模型,推导了惰轮系统的无量纲动力学方程,用变步长4—5阶Runge-Kutta法,通过对惰轮系统1组系统参数的数值仿真,借助Poincaré截面图分析发现惰轮系统中存在周期运动、阵发混沌和Hopf分岔,给出发生Hopf分岔的具体系统参数。对分岔与混沌行为的研究为此类齿轮系统的优化设计提供了理论参考。The gear system with idler gear taken as the research object,a 6-degree-of-freedom model of the idler gear system was established,and the non-dimensional dynamic equation of the idler gear system was derived.By the variable step size of 4-5 Runge-Kutta method,and through the numerical simulation of the unified system parameters of the idler gear system,the Poincare cross-section was analyzed finding the existence of array chaos and Hopf bifurcation in the idler gear system,and the specific system parameters of Hopf bifurcation was given.The study of bifurcation and chaotic behavior provides a theoretical reference for the optimal design of such gear systems.

关 键 词：惰轮 分岔 混沌 

分 类 号：TH113[机械工程—机械设计及理论]