Topology and geometry optimization of single-layer domes utilizing CBO and ECBO

Abstract

Dome structures are elegant and economical structures used for covering large areas. In this paper, an optimum topology design is performed using the Colliding Bodies Optimization (CBO) method and its enhanced version (ECBO). The Schwedler and ribbed domes are studied determining the optimum number of rings, the optimum number of joints in each ring, the optimum height of crown, and tubular sections of these domes. The minimum volume of each dome is taken as the objective function. A simple procedure is de ned to determine the con gurations of Schwedler and ribbed domes. This procedure includes calculation of the joint coordinates and element constructions. The design constraints are implemented according to the provision of LRFD-AISC. First, a comparative study for domes using di erent algorithms is carried out, and then the e ect of choosing di erent number of joints in each ring on the optimal topology is investigated for Schwedler domes to verify the suitability of design procedure and to demonstrate e ectiveness of the ECBO.