Chaotic Motion of a Nonlinear Thermoelastic Elliptic Plate

Han Qiang; Zhang Nianmei; Yang Guitong

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(9): 896-901

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.

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.

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Chaotic Motion of a Nonlinear Thermoelastic Elliptic Plate

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 Date: 1996-12-16
Rev Recd Date: 1999-04-15
Publish Date: 1999-09-15

Abstract

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.
- thermoelasticity,
- chaos,
- Melnikov function,
- Poincaré mapping

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References(6)

References

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