以杆长平方和为目标函数进行形状优化的二次规划方法

Quadratic Programming Method for Shape Optimization Taking Square Sum of Member Lenths as Objective Funetion

给出了桁架结构形状优化的一种分层方法，即分为截面层优化和节点层优化．在节点层，不以结构的重量作为目标函数，而以杆长平方和作为目标函数，形成了标准的二次规划，采用Ｌｅｍｋｅ方法即可求解．

In this paper,a method for shape opeimization of trusses is given,it is divided into two parts,one part for cross sections,another part for joints location.In the part for joints location,it does not take weight as objective,but takes square sum of member lenths as objective,so a standard quadratic programming model is formed and solved by Lemke algorithm.