摘要
用变步长四阶Runge-Kutta法,通过对一类单自由度含间隙系统一组系统参数的仿真,首次证明了单自由度含间隙系统中不仅存在叉式分岔、倍周期分岔,而且还存在Hopf分岔,并且给出了发生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理论依据。
Bifurcation and chaos of a one-degree-of-freedom system with a pair of symmetrically set-up elastic stops is investigated by numerical simulations. It is investigated by numerical method and concluded that in this kind of one-degree-freedom system exists Hopf bifurcation. An important field in vibration engineering is the dynamics of mechanical systems with piecewise smooth features, such as existing clearance, constraint, friction and hysteresis, It is possible to optimize practical system parameters by investigation of bifurcation and chaos.
出处
《振动与冲击》
EI
CSCD
北大核心
2005年第3期47-49,i005,共4页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(50475109)
