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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

郭勇, 谢建华. 单自由度干摩擦振子1∶4强共振时的N-S分岔[J]. 应用数学和力学, 2013, 34(1): 18-26. doi: 10.3879/j.issn.1000-0887.2013.01.003
引用本文: 郭勇, 谢建华. 单自由度干摩擦振子1∶4强共振时的N-S分岔[J]. 应用数学和力学, 2013, 34(1): 18-26. doi: 10.3879/j.issn.1000-0887.2013.01.003
GUO Yong, XIE Jian-hua. N-S Bifurcation of an Oscillator With Dry Friction in 1∶4 Strong Resonance[J]. Applied Mathematics and Mechanics, 2013, 34(1): 18-26. doi: 10.3879/j.issn.1000-0887.2013.01.003
Citation: GUO Yong, XIE Jian-hua. N-S Bifurcation of an Oscillator With Dry Friction in 1∶4 Strong Resonance[J]. Applied Mathematics and Mechanics, 2013, 34(1): 18-26. 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
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

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

  • 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.
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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

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