非惯性系中弹性薄板的全局分叉和混沌性质

The Global Bifurcation and Chaotic Behavior of the Thin Elastic Plates in Noninertia System

首先对非惯性参考系中弹性薄板动力学行为进行了奇点分析，进而求出了奇点附近同宿轨与周期轨的参数方程。用Ｍｅｌｎｉｋｏｖ方法研究了同宿轨分叉与周期轨的次谐分叉和混沌，对于各种不同的共振情况，系统将经过无限次奇阶次谐分又产生Ｓｍａｌｅ马蹄进入混沌状态，最后利用数值仿真研究了该系统的混沌运动。

Dynamical behavior of the thin elastic plates in noninertia system is plentiful . The paper firstly analyses the equilibrium points and obtains the parametric equations of ho- moclinic and periodic orbits of such system . Furtheninore , we investigate the behaviors of bi- function and chaos of this vibrational system by using Melnikov methol and digital computer simulations in different resonances.