VIBRATION OF RECTANGULAR PLATES BY REDUCTION OF THE PLATE PARTIAL DIFFERENTIAL EQUATION INTO SIMULTANEOUS ORDINARY DIFFERENTIAL EQUATIONS
VIBRATION OF RECTANGULAR PLATES BY REDUCTION OF THE PLATE PARTIAL DIFFERENTIAL EQUATION INTO SIMULTANEOUS ORDINARY DIFFERENTIAL EQUATIONS
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板偏微分方程化简为联立常微分方程研究矩形板振动
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
G. D. Xistris
中科院分区：
文献类型：
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作者：
C. Rajalingham;R. Bhat;G. D. Xistris
对扩展的Kantorovich方法进行了修正，以确定描述板振动的偏微分方程的最佳可分离解。在修正过程中，采用变分法将偏微分方程化为两个联立常微分方程，并根据四个未知模态参数精确求解。然后从常微分方程及其边界条件导出了求解这些未知参数所需的四个代数方程
The extended Kantorovich approach is modified to determine the optimum separable solutions of the partial differential equation describing the plate vibrations. In the modificiation, the variational method is used to reduce the partial differential equation into two simultaneous ordinary differential equations which are solved exactly in terms of four unknown modal parameters. Four algebraic equations necessary for the solution of these unknown parameters are then derived from the ordinary differential equations and their boundary conditions