| 中厚矩形板的非线性动力屈曲分叉 |
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| 引用本文： | 傅衣铭,赵跃宇.中厚矩形板的非线性动力屈曲分叉[J].固体力学学报,1996,17(2):145-150. |
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| 作者姓名： | 傅衣铭 赵跃宇 |
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| 作者单位： | 湖南大学工程力学系 |
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| 基金项目： | 国家自然科学基金,国家教委留学生基金,机械部科研基金 |
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| 摘 要： | 建立考虑横向剪切与转动惯量影响的矩形板的动力控制方程，应用Ｇａｌｅｒｋｉｎ方法将其化为Ｍａｔｈｉｅｕ方程，然后根据Ｌｙａｐｕｎｏｖ－Ｓｃｈｍｉｄｔ方法得到了系统在参数激励下的１／２亚谐分叉特性，并给出了四边简支与四边固支弹性薄板的非线性动力屈曲分叉条件。
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| 关 键 词： | 中厚矩形板 非线性 动力屈曲 分叉 厚板 |
NONLINEAR DYNAMIC BUCKLING AND BIFURCATION OF RECTANGULAR MODERATE-THICK PLATES |
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| Fu Yiming,Zhao Yueyu.NONLINEAR DYNAMIC BUCKLING AND BIFURCATION OF RECTANGULAR MODERATE-THICK PLATES[J].Acta Mechnica Solida Sinica,1996,17(2):145-150. |
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| Authors: | Fu Yiming Zhao Yueyu |
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| Abstract: | In this paper,a system of dynamic equations of rectangular plates including the effects of transverse shear deformation and rotatory inertia is derived.By using the Galerkin procedure the dynamic equations are reduced to a system of the Mathieu equations.The characteristic of 1/2 sub-harmonic bifurcation is discussed for the parametrically excited system with a help of the Lyapunov-Schmidt method.The bifurcation conditions for rectangular plates with all edges simply supported and clamped are obtained. |
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| Keywords: | rectangular moderate-thick plate non-linearity dynamic buckling and bifurcation |
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