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变温环境下粘弹性梁的混沌运动

李映辉 杜长城 高庆

李映辉, 杜长城, 高庆. 变温环境下粘弹性梁的混沌运动[J]. 西南交通大学学报, 2007, 20(6): 685-690.
引用本文: 李映辉, 杜长城, 高庆. 变温环境下粘弹性梁的混沌运动[J]. 西南交通大学学报, 2007, 20(6): 685-690.
LI Yinghui, DU Changcheng, GAO Qing. Chaotic Motion of a Viscoelastic Beam in Time Dependent Temperature Field[J]. Journal of Southwest Jiaotong University, 2007, 20(6): 685-690.
Citation: LI Yinghui, DU Changcheng, GAO Qing. Chaotic Motion of a Viscoelastic Beam in Time Dependent Temperature Field[J]. Journal of Southwest Jiaotong University, 2007, 20(6): 685-690.

变温环境下粘弹性梁的混沌运动

详细信息
    作者简介:

    李映辉(1964- ),男.教授,博士,研究方向为结构振动与控制、非线性动力学,E-mail:yinghui.li@home.swjtu.edu.cn

Chaotic Motion of a Viscoelastic Beam in Time Dependent Temperature Field

  • 摘要: 根据Kelvin粘弹性材料本构关系、梁的运动方程及变形几何方程建立了同时具有温度扰动和横向分布力扰动的粘弹性梁非线性动力学模型.用Galerkin方法将系统简化为参数激励和强迫激励耦合的单模态Duffing振子,得到了系统的不动点和同宿轨道.用Melnikov函数法推导出系统混沌运动的临界条件,分析了系统通向混沌的途径.研究表明,非线性粘弹性梁在周期性横向激励及周期性温度联合作用下可能进入混沌运动,并且在发生Smale马蹄意义下的混沌前,将经历多次的次谐分岔.

     

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出版历程
  • 收稿日期:  2006-10-13
  • 刊出日期:  2007-12-25

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