一类两自由度含间隙系统分岔与混沌的形成过程  

Bifurcation and chaos of a system with a pair of symmetric set-up elastic stops

作　　者：吉鹏拓[1] 俞树斌[1] 颉方正[1] 

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《机械研究与应用》2012年第4期67-68,71,共3页Mechanical Research & Application

摘　　要：通过对一类双自由度含间隙系统一组系统参数的仿真,证明单自由度含间隙系统中不仅存在叉式分岔、倍周期分岔,还存在Hopf分岔,并给出了发生Hopf分岔的具体系统参数以及Hopf分岔与混沌的形成过程。对其分岔与混沌行为的研究为工业实际中含间隙机械系统和冲击振动系统的优化设计提供了充分的理论依据。After simulating the system parametem of a one-degree-of-freedom system with clearance,it is proved that the one -degree-of-freedom system exists fork bifurcation, double cycle fork, and Hopf fork. The system parameters of Hopf fork and formation of Hopf fork and chaos are provided. The research can provide sufficient theoretical, foundation for the optimal design of mechanical system with clearance and impact vibration system in industries.

关 键 词：间隙 分岔 混沌 碰撞振动 POINCARÉ映射 

分 类 号：TH123.4[机械工程—机械设计及理论]