Han Qiang, Zhang Nianmei, Yang Guitong. Chaotic Motion of a Nonlinear Thermoelastic Elliptic Plate[J]. Applied Mathematics and Mechanics, 1999, 20(9): 896-901.
Citation: Han Qiang, Zhang Nianmei, Yang Guitong. Chaotic Motion of a Nonlinear Thermoelastic Elliptic Plate[J]. Applied Mathematics and Mechanics, 1999, 20(9): 896-901.

Chaotic Motion of a Nonlinear Thermoelastic Elliptic Plate

  • Received Date: 1996-12-16
  • Rev Recd Date: 1999-04-15
  • Publish Date: 1999-09-15
  • In the paper the nonlinear dynamic equation of a harmonically forced elliptic plate is derived,with the effects of large deflection of plate and thermoelasticity taken into account.The Melnikov function method is used to give the critical condition for chaotic motion.A demonstrative example is discussed through the Poincaré mapping,phase portrait and time history.Finally the path to chaotic motion is also discussed.Through the theoretical analysis and numerical computation some beneficial conclusions are obtained.
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  • [1]
    Holms P,Marsden J.A partial differential equation with infinitely many periodic orbits:chaotic oscillation of a forced beam[J].Arch Rat Mech and Analysis,1981,76(2):135~165.
    [2]
    Baran Daniela Dinca.Mathematical models usedin studying the chaotic vibration of buckled beam[J].Mechanics Research Communications,1994,21(2):189~196.
    [3]
    Poddar B,Moon F C,Mukherjee S.Chaotic motion of an elastic-plastic beam[J].J A M,1988,55(1):185~189.
    [4]
    张年梅,杨桂通.非线性弹性梁的动态次谐分叉与混沌运动[J].非线性动力学学报,1996,3(2):265~274.
    [5]
    韩强,张善元,杨桂通.横向载荷作用下弹性拱的混沌运动[J].固体力学学报(增刊),1997,18:67~71.
    [6]
    韩强.几种结构的动力屈曲、分叉和混沌运动研究[D].博士学位论文.太原:太原工业大学,1996.
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