力学与实践 ›› 1998, Vol. 20 ›› Issue (6): 21-23.DOI: 10.6052/1000-0992-1999-359

• 应用研究 • 上一篇    下一篇

非线性粘弹性梁在随动载荷作用下的混沌运动

韩强1 张年梅 杨桂通   

  1. 太原理工大学应用力学研究所 太原理工大学应用力学研究所 太原理工大学应用力学研究所,太原030024,yanggt@public.ty.sx.
  • 收稿日期:2006-08-02 修回日期:1900-01-01 出版日期:1998-12-10 发布日期:1998-12-10

CHAOTIC MOTION OF A NONLINEAR VISCOELASTIC BEAM UNDER A FOLLOWER FORCE

  • Received:2006-08-02 Revised:1900-01-01 Online:1998-12-10 Published:1998-12-10

摘要: 计及材料的非线性弹性和粘性性质,研究了悬臂梁在自由端受随动载荷作用时的混沌运动,导出了相应的非线性动力方程,利用Melnikov函数法,结合Poincare映射、相平面轨迹和时程曲线判定系统是否处于混沌状态,并对系统通向混沌的道路进行了讨论.

关键词: 随动载荷, 混沌, Melnikov函数法, Poincare映射

Abstract: In the paper the nonlinear dynamic equation of a beam under a follower force is derived, with the viscoelastic effects taken into account. The Melnikov function method is used to give the critical condition for chaotic motion. A demonstrative example is discussed through the Poincare mapping, phase portrait and time history. Finally the path to chaotic motion is also discussed.

Key words: follower force, chaos, Melnikov function, Poincare mapping