求解弯曲矩形板受迫振动的混合变量法
THE METHOD OF MIXED VARIABLES FOR FORCED VIBRATIONS OF THE RECTANGULAR BENDING PLATES
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摘要: 应用混合变量最小作用量原理, 求解了两邻边固定、另两邻边自由弯曲矩形板在均匀谐载作用下的受迫振动问题,得到其受迫振动的稳态解. 所获得的计算结果,跟现有文献进行比较, 证明其给出的方法是正确的,因此不仅具有重要的理论价值,而且可以为工程实际直接采用.Abstract: In this paper, the principle of the least action withmixed variables is used for forced vibrations of therectangular bending plates with two adjacent sides clamped and theothers free underthe action of a uniform load, and the steady solution is obtained.A comparison with results from literature shows the validity of thepresent method.