一类双自由度碰撞振动系统的颤振及擦边研究  

Chattering Analysis of Two-degree-of-freedom Vibrating System

作　　者：王小斌[1] 周鹏[2] 张亚兵[2] 

机构地区：[1]兰州交通大学数理与软件工程学院,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：《宁夏大学学报（自然科学版）》2014年第2期97-103,共7页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10572055)

摘　　要：研究了一类基本的双自由度碰撞振动系统的碰撞运动.运用理论推导的方法找到了其碰撞运动的颤振完成点及其颤振时间,针对该碰撞系统中颤振导致的碰撞问题,找到了一种有效的研究该碰撞系统中颤振现象的数值方法,并用数值仿真的方法研究了系统的动态响应及擦边现象,验证了理论推导的正确性.The flutter motion of a class of two-degree-of-freedom impact oscillator system is studied.Its completion point of flutter and the time of chattering completes are found by the method of theoretical derivation.A kind of effective numerical method is found,aiming at the impact problem which caused by flutter in the collision system.The dynamic response and graze phenomenon is investigated by numerical simulation method,and verify the correctness of the theoretical derivation.

关 键 词：碰撞 颤振 分岔 数值仿真 

分 类 号：O194[理学—数学]