Fundamental study on topology optimization using quantum annealing and generalized Benders decomposition

Abstract

The goal of this research is to establish a topology optimization method using quantum annealing that can search for a better optimal solution at high speed without falling into a local optimum. As a fundamental step, we have implemented and verified a method for topology optimization of two-dimensional trusses using quantum annealing and generalized Benders decomposition. In particular, the method was verified under conditions that have not been used in previous studies, and the effects of various calculation conditions on the results were evaluated. The verification results show that the proposed method is capable of performing reasonable optimal calculations, and that the penalty coefficient for the volume constraint and the setting of the volume change in the iterative step of the optimal calculation process are particularly important to obtain reasonable calculation results with the proposed method.