桁架结构拓扑和布局优化发展综述

从优化模型的建立和求解算法的研究两个方面对桁架结构的拓扑、布局优化的发展历程和研究现状进行综合评述。按照发展的先后,将以基结构法为基础的优化模型根据设计变量的不同分为3类,同时描述了非基结构法的拓扑布局优化;将求解算法分为传统的数学求解和智能化的全局寻优求解两部分。对桁架结构的拓扑布局优化在实际工程中的应用进行了总结,指出了结构拓扑、布局优化在理论研究、工程应用和软件开发等方面的研究方向。

A review on topology and layout optimization of truss structures

The development of topology and layout optimization of truss structures was reviewed from two aspects,i.e.the establishment of the optimal models and study of algorithms.According to the development process,the optimal models based on ground structure were classified into three types in terms of design variables,and the topology and layout optimization without adoption of the ground structure method were described;relevant algorithms were sorted into conventional mathematic methods and intelligent overall optimum methods.Finally,the applications of the technique in practical projects were summarized,and the further development of the technique in theoretical study,practical application,and software development was discussed.