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本文提出一种分析两对边简支另两对边为任意边界条件弹性薄板的新方法。其办法是把传递矩阵法应用到有限条法中,使其解多元联立方程组变成只解二元联立方程。对于多跨连续弹性板只须补充与中间支承数相同的变形协调方程式。采取叠加法亦可计算其他支承条件矩形板。文末附简支板条传递矩阵表,可供手算各向同性板。对于正交异性板、变厚度板以及斜交板,可用小型计算机计算。本法计算简单迅速,精度与有限条法同,适于实际工程应用。
In this paper, a new method is proposed to analyze the elastic thin plates with two pairs of edges simply supporting the other two pairs of edges as arbitrary boundary conditions. The approach is to apply the transfer matrix method to the finite strip method to make it possible to solve the multivariate simultaneous equations to solve binary simultaneous equations only. For a multi-span continuous elastic plate, only the deformation coordination equation with the same number of intermediate supports needs to be added. The superposition method can also be used to calculate other support conditions for rectangular plates. At the end of the text, a simple matrix transfer matrix table is provided for the calculation of isotropic plates. For orthotropic plates, variable thickness plates, and skewed plates, small computer calculations are available. The calculation of this method is simple and rapid, and the accuracy is the same as that of the finite strip method. It is suitable for practical engineering applications.