| 中心弹性支承的周边受压环板的非线性振动和稳定 |
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| 引用本文： | 李世荣,赵永刚,宋曦.中心弹性支承的周边受压环板的非线性振动和稳定[J].兰州理工大学学报,1993(1). |
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| 作者姓名： | 李世荣 赵永刚 宋曦 |
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| 作者单位： | 甘肃工业大学基础课部
(李世荣，赵永刚)，甘肃工业大学基础课部(宋曦) |
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| 摘 要： | 采用参数摄动及有限差分法研究了外周边作用均布面内压力、内周边固连一刚性质量块、且受横向弹性支承的各向同性环形薄板的轴对称大振幅自由振动和稳定性问题,计算出用中心振幅表示的非线性固有频率的高次摄动解,并求出了表征环板面内失稳特征的临界压力。
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| 关 键 词： | 环板 非线性振动 弹性支承 固有频率 临界载荷 |
Nonlinear Vibration and Buckling of Annular Plate Supported Centrically and Elastically and Pressured Peripherally |
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| Li Shirong,Zhao Yonggang,Song Xi.Nonlinear Vibration and Buckling of Annular Plate Supported Centrically and Elastically and Pressured Peripherally[J].Journal of Lanzhou University of Technology,1993(1). |
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| Authors: | Li Shirong Zhao Yonggang Song Xi |
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| Institution: | Division of Basic Courses |
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| Abstract: | A problem of free vibration with axisymmetric amplitude and elastic stability of thin isotropic annular plates which are subjected to in-plane uniform pressures along outer edge and supported by a elastically movable rigid mass fixed at inner edge is investigated in this paper by using the method of parametric perturbation and finite difference. The perturbation solution of non-dimensional amplitude of plate vibration under natural frequency with high order terms is developed and the critical pressure resulting in the bucking of the plate is obtained. |
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| Keywords: | annular plate nonlinear vibration elastic support natural frequency critical load |
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