| 参数激励下简支板的分叉与混沌 |
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| 引用本文： | 袁尚平,张惠桥,王冰,杨倩莉. 参数激励下简支板的分叉与混沌[J]. 太原科技大学学报, 1997, 0(2) |
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| 作者姓名： | 袁尚平 张惠桥 王冰 杨倩莉 |
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| 作者单位： | 上海交通大学，太原无线电七厂 |
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| 摘 要： | 本文讨论面内动载作用下简单支撑板非线性振动中的分叉和混沌现象。用动态系统理论讨论运动的稳定性。借助Ｍｅｌｎｉｋｏｖ方法估计出现混动运动的临界值。通过数值仿真证实了混沌运动的存在，并分析了混沌运动的特性。
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| 关 键 词： | 板；非线性振动；分叉；混沌 |
The Bifurcation and Chaos of Hinged Plate under Pasarmeter Excitement |
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| Yuan Shangping Zhang Huiqiao Wang Bing Yang Qianli. The Bifurcation and Chaos of Hinged Plate under Pasarmeter Excitement[J]. Journal of Taiyuan University of Science and Technology, 1997, 0(2) |
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| Authors: | Yuan Shangping Zhang Huiqiao Wang Bing Yang Qianli |
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| Abstract: | This paper deals with the bifurcation and chaos phenomena in nonlinear vibrations of hinged thin plaue acted in plaue dynamic load.The vibration stability of plate was discussed by dynamic system theory.The critical value under which chaotic vibration occurs was estimated by means of Melnikov's mathod.The presentation of chaotic motion was proved by numeric simulation,and the chaotic motion property was analysed in the paper. |
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| Keywords: | plate nonlinear vibration bifurcation chaotie |
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