摘要
倍周期分叉是通向混沌的主要道路之一,而现有的分析方法对进行硬刚度特性非线性振动系统的分 叉分析存在着诸多局限,因此,应用数值方法研究其分叉具有重要意义。本文通过Poincare映射方法得出硬刚度 特性非线性隔振系统的全局分叉图,然后通过胞映射方法分析其静态和动态分叉。
Period-doubling bifurcation is one of the major route to chaos, but the existing methods which wildly used to analyzing bifurcation have some shortages in analyzing the bifurcation of the nonlinear vibration isolation system with hard stiffness. Therefore, Numerical research is important. In this article, global bifurcation diagram is achieved by using Poincare mapping method and subsequently cell-mapping method is applied to analyze the static and dynamic bifurcation of nonlinear vibration isolation system of hard stiffness.
出处
《噪声与振动控制》
CSCD
2003年第5期5-9,共5页
Noise and Vibration Control
关键词
硬刚度特性非线性隔振系统
分叉
混沌
胞映射
nonlinear
vibration isolation system
bifurcation
Poincare mapping
cell-mapping method
