摘要
本文讨论了无阻尼弹跳球模型的完整震颤现象.作者利用中值定理给出了无阻尼弹跳球模型在反弹系数分别趋于0和趋于1时发生完整震颤时系统参数与初始值所满足的充分条件.
In this paper we discuss the complete chattering behavior of an elastic bouncing balldamping on a vibrating platform. The dynamical equations of the model are presented as a twosional map and the notion of complete chattering is given. Then by using the mean value theorobtain sufficient conditions in terms of parameters and initial values of the system under which cchattering occurs as the restitution coefficient approaches 0 and 1 respectively.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2015年第5期980-984,共5页
Journal of Sichuan University(Natural Science Edition)
基金
中央高校基本科研业务费专项基金资助(2010SCU21005)
关键词
分段光滑动力系统
弹跳球
震颤
中值定理
Piecewise smooth system
Bouncing ball
Chattering
Mean value theoremwithout dimen-em, weompete
