Topology Optimization in Architectural Design A technique for obtaining discrete structures from continuum typologies

Abstract

This study explores the advantages of setting a two-dimension continuum topology optimization whose output resembles structures to be assembled from discrete members, within one integrated procedure. The proposed Skeleton Sketch method uses algorithms that connect virtual centers of gravity found in the continuum matrices of the well-known Solid Isotropic Material with Penalization (SIMP) optimization method. The connecting lines are further upgraded to steel profiles through matching required and available crosssectional areas, obtaining a discrete version of the topology optimized system. Examples of the algorithm’s application on the parametric structural design of three case studies are provided. Results show that the method provides the designer with several layout alternatives through the process, proving to be a versatile and feasible design tool for practical realization of the outcomes of topology optimization.