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本文叙述了一种具有杆件截面积和节点位置两类变量以及静、动力多种约束的空间桁架分层优优方法。求解分为两层,第一层在给定节点位置对杆件截面进行优化;第二层则通过求解一系列线性规划子问题,获得一既不违反约束,又使目标函数(结构重量)下降的新的节点位置,再返回第一层。两层交替进行直至收敛。算例表明该法收敛平稳,使用有效。
This paper describes a kind of spatial truss layering optimization method with two types of variables, ie the cross-sectional area of the rod and the position of the nodes, as well as multiple static and dynamic constraints. The solution is divided into two layers. The first layer optimizes the bar section at a given node location. The second layer solves a series of linear programming subproblems to obtain one that does not violate the constraint and reduces the objective function (structure weight). The new node position returns to the first level. The two layers alternate until convergence. The example shows that the method is stable and effective.