简支与固定混合边界条件矩形薄板的弯曲

Bending of Rectangular Thin Plate with Combination of Simply Supported and Fixed Suoported Boundary Conditions

本文利用不同区间傅里叶级数的相互转换式,成功地解决了功的互等定理应用于简支与固定混合边界条件矩形薄板弯曲时,边界条件无法精确满足的数学困难.首次将功的互等定理法推广到混合边界条件矩形板弯曲问题中.应用这一方法求解了一些典型问题.

By the Fourier series transformation in the different subinterval, the mathematic difficulty of the boundary conditions which can not be satisfied exactly is overcomed when apply the reciprocal theorem method on the bending of retangular thin plate with combination of simply supported and fixed supported boundary condition. For the first time, the reciprocal theorey method is applied to the problems of the bending rectangular thin plate with mixed boundary condition. Some typical questions haven been solved by using this method.