| Chaotic Motion of Corrugated Circular Plates |
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| 作者姓名： | 王永岗 胥掌世 |
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| 作者单位： | Department of Applied Mechanics China Agricultural University，Yumen Petroleum Machinery Plant，Beijing 100083 China，Yumen 735200 China |
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| 摘 要： | Large deflection theory of thin anisotropic circular plates was used to analyze the bifurcation behavior and chaotic phenomena of a corrugated thin circular plate with combined transverse periodic excitation and an in-plane static boundary load. The nonlinear dynamic equation for the corrugated plate was derived by employing Galerkin's technique. The critical conditions for occurrence of the homoclinic and subharmonic bifurcations as well as chaos were studied theoretically using the Melnikov function method. The chaotic motion was also simulated numerically using Maple, with the Poincaré map and phase curve used to evaluate when chaotic motion appears. The results indicate some chaotic motion in the corrugated plate. The method is directly applicable to chaotic analysis of an isotropic circular plate.
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| 关 键 词： | 波纹圆盘 混沌运动 分谐波分岐 Melnikov函数 |
| 收稿时间： | 24 July 2006 |
| 修稿时间： | 2006-07-24 |
Chaotic Motion of Corrugated Circular Plates |
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| WANG Yonggang,XU Zhangshi.Chaotic Motion of Corrugated Circular Plates[J].Tsinghua Science and Technology,2007,12(5):572-576. |
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| Authors: | WANG Yonggang XU Zhangshi |
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| Institution: | 1.Department of Applied Mechanics, China Agricultural University, Beijing 100083, China; 2. Yumen Petroleum Machinery Plant, Yumen 735200, China |
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| Abstract: | Large deflection theory of thin anisotropic circular plates was used to analyze the bifurcation behavior and chaotic phenomena of a corrugated thin circular plate with combined transverse periodic excitation and an in-plane static boundary load. The nonlinear dynamic equation for the corrugated plate was derived by employing Galerkin's technique. The critical conditions for occurrence of the homoclinic and subharmonic bifurcations as well as chaos were studied theoretically using the Melnikov function method. The chaotic motion was also simulated numerically using Maple, with the Poincaré map and phase curve used to evaluate when chaotic motion appears. The results indicate some chaotic motion in the corrugated plate. The method is directly applicable to chaotic analysis of an isotropic circular plate. |
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| Keywords: | corrugated circular plate Melnikov function subharmonic bifurcation chaotic motion |
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