具有坐标变量和稳定性约束的桁架结构优化  

Optimization of Truss Structure With Coordinate Variables and Stability Restraint

作　　者：李康元[1] 余武平 倪雪平 

机构地区：[1]上海科学技术大学

出　　处：《上海力学》1990年第1期13-22,共10页Chinese Quarterly Mechanics

摘　　要：本文讨论以结构重量为目标函数,以杆件截面积和节点坐标为设计变量,以杆件应力和稳定性为约束条件的桁架优化设计,利用乘子法修改杆件截面积和拉格朗日乘子,以梯度法修改节点坐标。梯度法的步长则以满应力法确定。算例表明,本文方法是比较有效的。This paper deals with the optimization of truss structures of minimum weight, subjected to the constraints of member stresses, while the cross-scctional areas of bars and the coordinates of nodes are taken as the design variables. The multiplier method is used to adjust the cross—sectional areas of members and the Lagrange multiplier while the gradient method is used to modify node coordinates. The step length of gradient method is determined by the full-stress method. Some examples show the high efficiency of this method.

关 键 词：桁架 结构 优化 坐标 变量 约束 

分 类 号：TU323.404[建筑科学—结构工程]