反力分布制約を含む非線形動的トポロジー最適化

抄録

The present study proposes a method to optimize structure stiffness with the constraint of even reaction forces with a hyperelastic material under dynamic response. The dynamic variance of the reaction forces at the Dirichlet boundary is introduced to evaluate the uniformity of the reaction forces. Several formulations for optimal topology design are provided, including the constraints of dynamic variance of reaction forces. Multi-objective optimization is proposed considering dynamic compliance minimization and uniform distribution of force transmission. Sensitivity analysis is then derived based on the adjoint variable method and verified by the Finite Differentiation Approximation (FDA). Several numerical examples prove the effectiveness of the proposed method.