長方形板の弾性曲げ問題の積分方程式法による一解法

抄録

This paper presents a new approach to the bending analysis of thin elastic rectangular plates by the integral equation method. The fundamental idea of thin approach is to use functions which a priori satisfy the boundary conditions of two opposite ends. Thus, the plate bending problem can be reduced to a one-dimensional problem. By applying the integral equation technique to this one-dimensional problem, the solution is determined just as for the case of a beam. The present approach is based on the same idea as that of the finite strip method, or the Kantrovich method, but the number of degrees of freedom in this method is less than that of the finite strip method. A number of examples including various boundary conditions are computed, whereby the usefulness of the method is demonstrated.