桁架尺寸优化微分演化算法

Differential Evolution Algorithm to Size the Optimization of Truss Structures

为了解决带有应力约束和位移约束桁架结构的尺寸优化问题,将微分演化(Differential Evolution,DE)算法应用于桁架结构的尺寸优化设计.介绍了DE算法的基本原理及其进化策略,给出了桁架结构优化的数学模型.对几个经典问题进行了求解,并与其他优化算法进行了比较.数值结果表明了DE算法收敛特性好、稳定性高,可以有效地用于桁架结构的尺寸优化设计.

This paper applied a DE strategy to solve the size optimization problems of truss structures with stress and displacement constraints.We presented the basic principle of the original DE algorithm in detail,and then introduced the mathematical model for truss optimization.Several classical problems were solved by using DE algorithm,and the results were compared with those using other optimization methods.Numerical examples have shown that the DE algorithm has good convergence and stability and can be applied to effectively size the optimization of truss structures.