摘要
本文从简化的Reissner理论出发,利用叠加原理和功的互等定理导出了中厚板弯曲问题的一组基本解,然后,导出了类似于求解薄板经典理论的边界积分方程组。本文提出的方法适用于任意边界、任意荷载的薄板、中厚板的弯曲问题,使求解中厚板弯曲问题的工作量减小到与求解薄板的工作量相同。文中计算了若干例题,结果是令人满意的。
According to the simplified Reissner theory, three boundary conditions of plate can be simplified into two ones. Some fundamental solutions for bending problems of middle thick plate have been obtained. Using the principle of Superposition and the reciprocal work theorem, the analogous operation in the classical theory for thin plates, the boundary integral simultaneous equations for middle thick plate have been derived.The method in this paper can be used in calculation of thin plates and middle thick plates with arbitrary boundary and arbitrary loading conditions, and the amount of work is reduced to the same as solving the thin plate problems. Using the method derived in this paper and the integral method beyond the domain, some valuable calculation examples have been given. And the results is of great satisfaction.
出处
《上海力学》
CSCD
1989年第4期34-44,共11页
Chinese Quarterly Mechanics
