| 三自由度耦合非线性振动的同步混沌 |
| |
| 引用本文： | 韩强.三自由度耦合非线性振动的同步混沌[J].太原理工大学学报,1998,29(3):221-223,228. |
| |
| 作者姓名： | 韩强 |
| |
| 作者单位： | 太原理工大学应用力学研究所 |
| |
| 基金项目： | 国家自然科学基金,山西省自然科学基金 |
| |
| 摘 要： | 讨论了一个三自由度耦合非线性振动的混沌响应。利用非线性振动的模态分析方法，将这一高维非线性性系统降维到一维子流形上来研究，对降维解耦后的模态振动方程采用平面Ｍｅｌｎｉｋｏｖ方法，得到了系统发生同步混沌的临界条件，并进行了数值计算，从中得到了一些有益的结论。
|
| 关 键 词： | 模态振动 同步混沌 非线性振动 三自由度耦合 |
The Synchronous Chaos of Coupled NonlinearVibration with 3 D |
| |
| Han,Qiang,Zhang,Shanyuan,Yang,Guitong.The Synchronous Chaos of Coupled NonlinearVibration with 3 D[J].Journal of Taiyuan University of Technology,1998,29(3):221-223,228. |
| |
| Authors: | Han Qiang Zhang Shanyuan Yang Guitong |
| |
| Institution: | Inst. of Applied Mechanics |
| |
| Abstract: | The chaotic response of coupled nonlinear vibration system with 3 D is discussed. Using the method of mode analysis, the high dimension nonlinear system is changed into its low dimension flow. By Melnikov method, the synchronous chaotic critical condition is obtained. In the end, numerical computation is carried out. The beneficial conclusions are obtained. |
| |
| Keywords: | mode vibration Melnikov method synchronous chaos |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
