摘要
桁架结构几何外形优化设计的一种分层方法，即将优化的每一轮迭代分为两层：在截面层，固定节点，通过以杆件内力为变量，形成线性规划模型，利用单纯形方法确定出最优内力后，再转换成载面；在节点层，固定截面，改变传统的以重量为目标函数的做法，而以杆件内力平方和为目标函数，形成非线性规划模型，采用可行方向法进行求解。截面层优化与节点层优化交叉进行，循环迭代。算例表明，该方法可以任意选取初始几何外形，收敛平稳，效果很好。
A hierarchical optimization method for geometry configuration of trusses is given in this paper , For each round of circlcs in optimization process, it is divided into two stages. On the first stage, joint location is fixed and cross sections are optimized . By considcring member forces as variables . a linear programming problem is formcd and solved by the Dantzig zaethod, cross sectious can be detemined by the gotten member forces. On the second stage, cross sections are fixed andl joint loca- tion is optimized. By considering the squ-are suzn uf member forces, aot structural weight, as objective function, a nonlianear profiramming problem is forraed .and solved by the feasible direction metnod. Numerical examples show that the method in this paper can take any georaetry configuration as initial one and converges smootbly, therefore , good effect is produced.
出处
《哈尔滨建筑大学学报》
1997年第2期6-11,共6页
Journal of Harbin University of Civil Engineering and Architecture
