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圆薄板中心受迫非线性振动
引用本文:王新志 ,黄羽 ,王林祥.圆薄板中心受迫非线性振动[J].兰州理工大学学报,1987(1).
作者姓名:王新志  黄羽  王林祥
作者单位:Wang Xinzhi,Huang yu,Wans Linxiang
摘    要:本文通过引入载荷函数,用变分法推导出圆薄板中心受迫振动的大振幅变分方程,继之给出非线性振动方程。由于考虑了时间作用,采用摄动变分法求解,给出了稳态解;在一次近似中,得到了一个有效的求解板的基频近似值的方法。

关 键 词:摄动变分法  载荷函数  稳态解  基频

Non-linear Forced Vibration of Circular Thin Plates Acted by a Concentrated Force at the Centre
Wang Xinzhi,Huang yu,Wans Linxiang.Non-linear Forced Vibration of Circular Thin Plates Acted by a Concentrated Force at the Centre[J].Journal of Lanzhou University of Technology,1987(1).
Authors:Wang Xinzhi  Huang yu  Wans Linxiang
Abstract:In this paper,after introducing a load function a large amplitute variational equation for non-linear forced vibration of circular thin plates by using variational method is derived.Then the non-linear vibration equations are presented.Because we have considering the time effect, perturbation variational method is used here to solve this equation and the steady-state solutions are then obtained. In the case of first-order approximation, an effective method for obtaining the approximate fundamental frequency is developed.
Keywords:perturbation variationl method  load function  steady-state  solution  fundamental frequency  
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