韩强, 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. DOI: 10.6052/1000-0992-1999-359
引用本文: 韩强, 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. DOI: 10.6052/1000-0992-1999-359
CHAOTIC MOTION OF A NONLINEAR VISCOELASTIC BEAM UNDER A FOLLOWER FORCE[J]. MECHANICS IN ENGINEERING, 1998, 20(6): 21-23. DOI: 10.6052/1000-0992-1999-359
Citation: CHAOTIC MOTION OF A NONLINEAR VISCOELASTIC BEAM UNDER A FOLLOWER FORCE[J]. MECHANICS IN ENGINEERING, 1998, 20(6): 21-23. DOI: 10.6052/1000-0992-1999-359

非线性粘弹性梁在随动载荷作用下的混沌运动

CHAOTIC MOTION OF A NONLINEAR VISCOELASTIC BEAM UNDER A FOLLOWER FORCE

  • 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.

     

    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.

     

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