离散变量桁架结构的布局优化设计

On layout optimization of truss structures with discrete sizing variables

研究了多工况下受应力、位移约束的离散截面变量桁架结构的布局优化问题，提出了一个序列两级算法，在第一级优化中进行形状－截面优化，在第二级优化中进行拓扑优化。两级优化交替进行，最后得到最优的拓扑形式、几何形状和截面积分布。算例表明本法能够得到较好的布局优化结果。

A sequential two-level algorithm is proposed for layout optimization problems oftruss structures with discrete sizing variables subjected to stress and displacement constraintsunder multiple loading cases. At the first level the geometrical-sizing optimization is performedwhile the topological-sizing optimization is fulfilled at the second level.The two levels are carriedout in turn until the optimal structural topology,geometry and the cross-sectional areas areobtained.The examples show that satisfactory optimal layout designs can be obtained by theproposed algorithm.