单自由度干摩擦振子1∶4强共振时的N-S分岔

郭勇; 谢建华

doi:10.3879/j.issn.1000-0887.2013.01.003

单自由度干摩擦振子1∶4强共振时的N-S分岔

doi: 10.3879/j.issn.1000-0887.2013.01.003

郭勇,
谢建华

西南交通大学力学与工程学院,成都 610031

基金项目: 国家自然科学基金资助项目（11172246）；中央高校基本科研业务费专题资助项目(SWJTU11ZT15)

详细信息

作者简介:
郭勇(1985—),男,贵州安顺人,博士生(E-mail:gy-gates@163.com);谢建华(1957—),男,教授(通讯作者.E-mail:jhxie2000@126.com).

中图分类号: O322
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- 被引次数: 0
出版历程
- 收稿日期: 2012-03-30
- 修回日期: 2012-05-12
- 刊出日期: 2013-01-15

N-S Bifurcation of an Oscillator With Dry Friction in 1∶4 Strong Resonance

School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610031, P.R.China

摘要

摘要: 研究一个单自由度干摩擦系统的受迫振动行为．在1∶4共振条件下，根据平衡点附近级数形式的解建立系统的Poincaré映射．运用范式理论将映射简化成标准形式．结果显示，系统会发生NS(Neimark-Sacker)分岔．数值模拟验证了理论结果．
- 干摩擦 /
- Poincaré映射 /
- 共振 /
- 范式 /
- 周期解 /
- 环面
Abstract: An oscillator with dry friction under external excitation was considered. The Poincaré map was established according to the series solution near equilibrium in the 1∶4 resonance case. By theory of normal forms, the map was reduced into its normal form. It is shown that there exist phenomena of N-S bifurcations. The theoretical results are verified by numerical simulations.
- dry friction /
- Poincaré map /
- resonant /
- normal form /
- periodic solution /
- torus

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参考文献(9)

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