Research on section dimension optimization of high-rise steel–concrete composite buildings based on improved dividing rectangle algorithm and combined response surface model

Abstract

Optimizing the design of high-rise steel–concrete composite buildings poses significant challenges due to the diverse range of components and complex arrangement. To optimize this type of structure while considering both optimization efficiency and structural reliability, an optimization method based on an improved DIviding RECTangle algorithm and combined response surface models is proposed herein. Firstly, the standardized section number of components with the same initial section dimension and material strength grade is treated as a variable. Each variable represents a dimension of the initial hyperrectangle, and the subdivision sequence is determined based on the design priority index. Subsequently, after each subdivision, potential optimal hyperrectangles are identified by evaluating the objective function value with constraint penalties at hyperrectangle center points and the distance from the points to the vertices. By continuously subdividing the potential optimal hyperrectangles, initial sampling points are obtained. Furthermore, combined response surface models for the objective and constraint functions are constructed. Finally, by continuously solving the sub-optimization problem to update the response surface models until the algorithm converges, the optimization of structural cost can be achieved. The case studies demonstrate that this method is capable of satisfying the structural constraints while efficiently optimizing the section dimension of high-rise building components.