含间隙齿轮碰振系统的全局动力学分析  

GLOBAL DYNAMIC ANALYSIS OF GEAR VIBRATION SYSTEM WITH CLEARANCE

作　　者：张思进[1] 王紧业 文桂林[1] Zhang Sijin;Wang Jinye;Wen Guilin(College of Mechanical and Vehicle Engineering,Hunan University,Changsha 410082,China)

机构地区：[1]湖南大学机械与运载工程学院,长沙410082

出　　处：《动力学与控制学报》2018年第2期129-135,共7页Journal of Dynamics and Control

基　　金：国家自然科学基金项目(11372101)~~

摘　　要：为研究含间隙齿轮碰振系统的全局及周期运动的稳定性及分岔条件,建立了齿轮副主动轮的单自由度非线性动力学模型.运用非光滑系统Melnikov理论研究齿轮系统异宿轨道全局分岔条件,然后,求得各分段系统的通解,再将每个切换面作为Poincaré截面,运用组合映射的方法分析系统的周期运动特性.最后通过数值模拟,得到不同参数条件下系统的运动状态和分岔特性,验证了Melnikov方法分析齿轮非光滑系统的有效性.In order to study the stability and bifurcation conditions of global and periodic motion for impact gear system with clearance,the single-degree-of-freedom nonlinear dynamic model of drive gear wheel is established.The non-smooth Melnikov′s theory is applied to study the global bifurcation condition of the heteroclinic orbits.The solutions of each piecewise differential equation are then solved,and each switch surface can be served as Poincarésection.Meanwhile,the method of the combined mapping is applied to analyze the periodic motion of the system.Finally,the motion states and bifurcation characteristics of the system are obtained under different parameters by numerical simulation,and the effectiveness of Melnikov method for analyzing non-smooth piecewise system can be verified.

关 键 词：齿轮系统 POINCARÉ映射 全局/周期运动 异宿轨道 MELNIKOV方法 

分 类 号：TH132.41[机械工程—机械制造及自动化]