| 冲击振动成型机周期运动的Hopf-flip余维二分岔与混沌 |
| |
| 引用本文： | 罗冠炜,张艳龙,张建刚,谢建华.冲击振动成型机周期运动的Hopf-flip余维二分岔与混沌[J].工程力学,2007,24(9):140-147. |
| |
| 作者姓名： | 罗冠炜 张艳龙 张建刚 谢建华 |
| |
| 作者单位： | 1. 兰州交通大学机电工程学院,甘肃,兰州,730070
2. 西南交通大学应用力学与工程系,四川,成都,610031 |
| |
| 基金项目： | 国家自然科学基金
,
教育部科学技术研究重点项目 |
| |
| 摘 要： | 基于冲击映射方法和数值仿真分析了一类冲击振动成型机单冲击周期运动的稳定性与Hopf-flip分岔。应用映射的中心流形-范式方法将冲击振动成型机的冲击映射降阶为三维映射,分析了相关范式映射的局部分岔特性及参数开折。通过定性分析与数值仿真研究了冲击振动成型机在Hopf-flip余维二分岔条件下的动力学行为,讨论了Hopf-flip分岔点附近周期冲击运动不动点类型的转迁及其向混沌运动的演化过程。
|
| 关 键 词： | 振动 冲击 周期运动 余维二分岔 混沌 |
| 文章编号： | 1000-4750（2007）09-0140-08 |
| 修稿时间： | 2005-12-22 |
CODIMENSION TWO BIFURCATION AND CHAOS OF A VIBRO-IMPACT FORMING MACHINE ASSOCIATED WITH HOPF-FLIP CASE |
| |
| LUO Guan-wei,ZHANG Yan-long,ZHANG Jian-gang,XIE Jian-hua.CODIMENSION TWO BIFURCATION AND CHAOS OF A VIBRO-IMPACT FORMING MACHINE ASSOCIATED WITH HOPF-FLIP CASE[J].Engineering Mechanics,2007,24(9):140-147. |
| |
| Authors: | LUO Guan-wei ZHANG Yan-long ZHANG Jian-gang XIE Jian-hua |
| |
| Affiliation: | 1. School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China; 2. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu, Sichuan 610031, China |
| |
| Abstract: | A vibro-impact forming machine with double masses is considered. The stability and bifurcation of single-impact periodic motions of the impact-forming system are analyzed based on impact mapping. A center manifold theorem technique is applied to reduce the impact mapping of the system to a three-dimensional one. Local behavior of the normal form mapping, associated with Hopf-flip bifurcation, is analyzed. Dynamical behavior of the impact-forming machine, on the condition of codimension two bifurcation, is investigated using qualitative analysis and numerical simulation. Transition of different forms of fixed points close to the point of Hopf-flip bifurcation is demonstrated, and transition routes from periodical single-impact motion to chaos are also discussed. |
| |
| Keywords: | vibration impact periodic motion codimension two bifurcation chaos |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
