桁架结构形状与尺寸组合优化

Combined Shape and Sizing Optimization in Truss Design

提出了一种渐进优化方法 ,通过分离设计变量 ,分别采用渐进节点移动法和满应力法优化桁架结构的形状和尺寸。通过循环迭代 ,耦合形状和尺寸变量间的相互作用关系 ,以期得到结构的最小重量。结构受到应力、局部稳定和节点位移等多种约束。最优解由初始结构设计渐进得到。

In this paper, an evolutionary optimization method is proposed to minimaze the weight of truss structure in terms of nodal coordinates and element cross sectional areas. The truss shape and element sections are optimized alternately by classification of the design variables. Element stress, local buckling and displacement constraints are taken into account. The fully stressed design and scaling methods are applied to element sections and the evolutionary node shift method is applied to truss shape. The optimum solution is achieved gradually from an initial configuration. The validity of the method is demonstrated with two typical truss designs.