Dynamical Behavior and Parameter Optimization of a Vibratory System
The primary objectives of the investigation are to analyze the dynamical behavior of a three-degree-offreedom vibratory system and choose the suitable system parameters to obtain larger impact velocity or larger regions of periodic motions for engineering application. Stability and local bifurcations of one-impact periodic motion are analyzed by using Jacobian matrix of the Poincar(e) mapping. Global bifurcations are used to optimize the system parameters. Based on theoretical analysis and numerical simulation, some unusual bifurcations are obtained, such as NeimarkSacker bifurcation including torus doubling, discontinuous period doubling bifurcation including Neimark-Sacker bifurcation, or torus doubling, or grazing singularities. And their routes from periodic motions to chaos are discussed as well. Some methods of obtaining larger impact velocity or larger regions of periodic motions are presented too.
vibration bifurcation chao optimization
Yanlong Zhang Li Wang
School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China Dept.of Mathematics,Lanzhou City College,Lanzhou 730070,China
国际会议
长沙
英文
1161-1164
2009-04-11（万方平台首次上网日期，不代表论文的发表时间）