钢框架结构优化设计的多集约束和自动构件分组

对于结构优化问题,如钢框架结构的用钢量最小化,设计尺寸取决于构件横截面面积。构件横截面面积可从一些可行性表格中查得,如美国钢结构协会(AISC)提供的表格。构件的横截面尺寸bf,tf,d和tw(可为分散的或连续的)能独立确定。讨论关于设计尺寸变量的框架结构优化问题,提出一种获得理想构件分组法则。此法则考虑了制作、检查、装配和焊接的优势,而这些因素在传统预算里并没有被考虑。运用先前提出的适应性损失法,增强结构优化中的机械约束。

Multiple Cardinality Constraints and Automatic Member Grouping in the Optimal Design of Steel Framed Structures

For structural optimization problems, such as the weight minimization of steel framed structures, the sizing design variables are often defined as the cross-sectional areas of the members, which are to be chosen from commercially available tables such as those provided by the American Institute of Steel Construction. Alternatively, the cross-section dimensions, bf, tf, d and tw (which may be discrete or continuous) can be defined independently for each profile. This paper discusses the structural optimizati...