含干摩擦碰撞振动系统的分叉与颤碰分析  

The Bifurcation and Chattering-impact Motion of a Vibro-impact System with Dry Friction

作　　者：高全福[1] 曹兴潇 

机构地区：[1]兰州交通大学科技处,甘肃兰州730070 [2]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《兰州交通大学学报》2016年第1期137-141,共5页Journal of Lanzhou Jiaotong University

基　　金：甘肃省教育厅高等学校科研项目(2013B-024);甘肃省科技计划项目(1056RJYA085);兰州市科技计划项目(2015-3-106)

摘　　要：针对干摩擦和间隙对机械系统动力学特性的影响问题,模拟分析了带干摩擦两自由度冲击振子的非线性动力学行为.分析表明:系统存在复杂的粘滞振动特性,粘滑运动、纯滑运动、拟周期运动、混沌交替出现;在摩擦力较小时,系统以纯滑运动为主;随着摩擦力增大,系统逐渐以粘滞滑移运动为主;周期运动通向混沌的主要形式是倍周期分叉和Hopf分叉;在激振频率特别低的区域,随着激振频率的减小,周期1-p运动的碰撞次数依次加一,直至进入颤碰.In order to study the influence of dry friction and clearance on the mechanical system,the nonlinear dynamic behaviors of two degrees of freedom oscillator with dry friction have been analyzed by numerical solution.The results show that there are complicated sticky vibration characteristics,stick-slip motion,non-stick motion,quasi-periodic and chaotic attractors appeared alternately in the system.Furthermore,it is found that non-stick motion occupies the majority of parametric range with the low level of friction,and the stick-slip motion plays a leading gradually with the dry friction force increase.Periodic motion transits to chaos via period-doubling bifurcations and Hopf bifurcation.In low-frequency areas,the impact number p of 1-pperiodic motion correspondingly increases one by one with the decrease in exciting frequency till the chatteringimpact characteristics appear.

关 键 词：干摩擦 粘滑运动 分叉 颤碰 

分 类 号：TH113.1[机械工程—机械设计及理论] O322[理学—一般力学与力学基础]