2106 平均コンプライアンス最小化を目的とした熱弾性場の形状最適化(OS7-2 設計と最適化II～形状・寸法設計～,OS7 設計と最適化)

抄録

This paper presents a numerical analysis method for shape optimization for mean compliance minimization on thermoelastic fields. The mean compliance minimization problem means a stiffness maximization problem for the shape optimization. The mean compliance minimization problem on the thermoelastic fields is formulated on volume constraint condition. The shape gradient of the shape optimization problems is derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. Reshaping is accomplished using a traction method that was proposed as a solution to shape optimization problems. In addition, a new numerical procedure for the shape optimization is proposed. The validity of the proposed method is confirmed based on the results of 2D numerical analysis.