| 受静载作用的柔韧圆板的非线性固有频率 |
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| 引用本文： | 王永岗,王新志.受静载作用的柔韧圆板的非线性固有频率[J].兰州理工大学学报,1996(3). |
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| 作者姓名： | 王永岗 王新志 |
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| 作者单位： | 甘肃工业大学机电工程系，甘肃工业大学基础课部 |
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| 摘 要： | 研究了中心集中静载作用下圆薄板的非线性自由振动问题．其静平衡问题采用小挠度解，在此基础上，引入Ｇｒｅｅｎ函数，将动力协调方程及对应的边界条件化为等价的积分方程，并把摄动变办法应用于动力平衡方程，求得了以静载荷为参数的最低固有频率与中心最大振幅间的特征关系．
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| 关 键 词： | 静载荷 柔韧圆板 非线性振动 Green函数法 摄动变办法 |
Nonlinear natural frequencies of flexible circularplates subjected to static loads |
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| Wang Yonggang.Nonlinear natural frequencies of flexible circularplates subjected to static loads[J].Journal of Lanzhou University of Technology,1996(3). |
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| Authors: | Wang Yonggang |
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| Abstract: | Nonlinear free vibration of circular plates under the central concentrated static loads is studied.The small deflection solutions are given for the static equilibrium problems.Based on this and by introducing Green's function,dynamic compatible equation and corresponding boundary conditions are transformed into a equivalent integral equation and using perturbation variational method to dynamic equilibrium equation and taking static load as the parameter,the characteristic relation between the least natural frequency and central maximum amplitude is obtained. |
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| Keywords: | static loads flexible circular plates nonlinear vibration the method of Green's function perturbation variational method |
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