极限上下限定律的对偶性和规划问题

提出用惩罚线性规划方法,求解受有集中载荷的梁、桁架和平面刚架的极限载荷.并采用逐步逼近与惩罚线性规划求解空间刚架及受有分布载荷的平面刚架的极限载荷.本文还提出了用二次齐次规划求解加筋圆柱薄壳加筋扁壳和加筋球壳受任意法向载荷时的极限问题.

The Duality of Upper Bound Theorem and Lower Bound Theorem on Limit Theory and Programming Problem

In this paper,a penalty linear programming method is proposed tofind the limit loads of beam,truss and plane frame under concentrating forces,and the limit loads of plane frame under distributing loads are obtained by usinga successive approximation-penalty linear programming.Meanwhile,a quadricprogramming method for solving the limit problems of framework stiffeningcircular cylindrical shell,shallow shell and spherical shell under arbitrarynormal loads is studied.By using this method,the limit loads of complicatestructures under various complex loads can be sought.This method has theadvantages of high speed,low computing cost,simple data preparation,etc.Hence it is an effective one,wakes in solving practical engineering problem.