力学与实践 ›› 1998, Vol. 20 ›› Issue (6): 21-23.DOI: 10.6052/1000-0992-1999-359
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韩强1 张年梅 杨桂通
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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
韩强1 张年梅 杨桂通. 非线性粘弹性梁在随动载荷作用下的混沌运动[J]. 力学与实践, 1998, 20(6): 21-23.
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http://lxsj.cstam.org.cn/CN/Y1998/V20/I6/21
