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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (9): 960-966.

• 论文 • 上一篇    下一篇

CHAOTIC MOTION OF A NONLINEAR THERMO-ELASTIC ELLIPTIC PLATE

韩强1, 张年梅2, 杨桂通2   

  1. 1. Department of Mechanics, College of Traffic and Communications, South China University of Technology, Guangzhou 510641, P. R. China;
    2. Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China
  • 收稿日期:1996-12-16 修回日期:1999-04-15 出版日期:1999-09-18 发布日期:1999-09-18
  • 基金资助:

    the National Natural Science Foundation of China;the Natural Science Foundation of Shanxi Provence(1880342)

CHAOTIC MOTION OF A NONLINEAR THERMO-ELASTIC ELLIPTIC PLATE

Han Qiang1, Zhang Nianmei2, Yang Guitong2   

  1. 1. Department of Mechanics, College of Traffic and Communications, South China University of Technology, Guangzhou 510641, P. R. China;
    2. Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China
  • Received:1996-12-16 Revised:1999-04-15 Online:1999-09-18 Published:1999-09-18
  • Supported by:

    the National Natural Science Foundation of China;the Natural Science Foundation of Shanxi Provence(1880342)

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摘要： 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.

Abstract: 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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