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

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.