Chaotic motion of a nonlinear thermoelastic elliptic plate |
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Authors: | Han Qiang Zhang Nianmei Yang Guitong |
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Institution: | 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 |
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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.
Foundation item: the National natural Science Foundation of China (19672038); the Natural Science Foundation of Shanxi Provence (1880342). |
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Keywords: | thermoelasticity chaos Melnikov function Poincaré mapping |
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