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CHAOTIC MOTION OF AN ELASTIC CIRCULAR PLATE |
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| Authors: | Han Qiang Hu Haiyan Research Institute of Vibration Engineering NUAA Yudao Street Nanjing P.R.China Yang Guitong Institute of Applied Mechanics Taiyuan University of Technology Taiyuan P.R.China |
| Affiliation: | Han Qiang Hu Haiyan Research Institute of Vibration Engineering,NUAA29 Yudao Street,Nanjing 210016,P.R.China Yang Guitong Institute of Applied Mechanics,Taiyuan University of Technology,Taiyuan 030024,P.R.China |
| Abstract: | The chaotic motion of a harmonically forced circular plate is studied in the paper. The virtual displacement principle is used to derive the dynamic equation of motion, with the effect of large deflection of plate taken into account. By means of Garlerkin approach and Melnikov function method, the critical condition for chaotic motion is obtained. A demonstrative example is discussed through the Poincare mapping, phase portrait and time history. |
| Keywords: | circular plate chaos Melnikov function Poincare mapping |
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