阻尼受随机干扰的碰撞振动系统动力学响应  

Dynamic Response of Vibro-impact System Damping by Stochastic Disturbance

作　　者：杜三山[1] DU San-shan(School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院

出　　处：《兰州交通大学学报》2020年第1期117-123,共7页Journal of Lanzhou Jiaotong University

基　　金：国家自然科学基金(11302092)

摘　　要：研究了一类三自由度单侧刚性约束碰撞振动系统的阻尼系数受高斯白噪声干扰的动力学响应.建立碰撞Poincaré映射,基于数值仿真方法,揭示这种确定性非光滑系统的周期运动及其经锁相或倍化环面通向混沌的道路.通过调节随机干扰强度,分析不同随机干扰强度作用在阻尼系数下对系统动力学行为的变化情况,描述了Neimark-sacker分岔在某些特定参数下抗随机干扰的能力.随机干扰对系统运动稳定性的破坏,造成了系统动力学行为的跃迁,并且使得系统动力学特性变的更加丰富和有趣.This paper investigated the dynamic response of a three degree of freedom vibro-impact system with unilateral rigid constraint damping coefficient excited by additive Gaussian noise.Based on the numerical simulation method,the periodic motions of the determined non-smooth system and their path to chaos via phase lock or torus doubling is revealed by establishing the impact Poincarémap.By adjusting the random interference intensity,the variation of the dynamic behavior of the system under different random interference intensity and damping coefficient is analyzed,and the Neimark-sacker bifurcation′s disturbance resistance capability under certain parameters is described as well.It is concluded that the random disturbance breaks the movement stability,which causes the transition of dynamic behavior,and makes the dynamics feature richer and more interesting.

关 键 词：碰撞振动 随机干扰 分岔 混沌 

分 类 号：O322[理学—一般力学与力学基础]