体積力が支配的な3次元静弾性問題のトポロジー最適化について

抄録

In this talk, we consider stiffness maximization problems where the effect of body force is dominant. In these problems, one needs to choose the objective function carefully in a manner that it represents the desired stiffness appropriately. For example, “all void” solution is the trivial optimal solution of compliance minimization problem where only the body force is loaded. This may cause numerical difficulty and the optimal result may not be a desirable one in applications. We thus focus on the stiffness maximization problems for elastostatic problems in 3D domains to consider the settings of the objective function when the body force is dominant. Specifically, we consider the compliance in whole domain and total displacement on a certain part of the boundary as the objective functions to observe the optimal shape and convergence history numerically. We show some numerical examples obtained with level-set based topology optimization method proposed by Yamada et al.