2023/07/31 by Makoto Ohsaki, Ohsaki, Makoto, Saku Aoyagi +3
Engineering · #Composite Structure Analysis and Optimization #FOS: Mathematics #Optimization and Control (math.OC) #Structural Load-Bearing Analysis #Topology Optimization in Engineering
paper · pdf · doi:10.48550/arxiv.2307.16473
openalex publication_date 2023/07/31 · openalex created_date 2023/08/02 · openalex updated_date 2026/07/28
A multiobjective optimization method is proposed for obtaining the optimal plane trusses simultaneously for various aspect ratios of the initial ground structure as a set of Pareto optimal solutions generated through a single optimization process. The shape and topology are optimized simultaneously to minimize the compliance under constraint on the total structural volume. The strain energy of each member is divided into components of two coordinate directions on the plane. The force density method is used for alleviating difficulties due to existence of coalescent or melting nodes. It is shown in the numerical example that sufficiently accurate optimal solutions are obtained by comparison with those obtained by the linear weighted sum approach that requires solving a single-objective optimization problem many times.