異種材料からなる複合構造体の形状最適設計

抄録

Designing composite structures to satisfy specific requirements has been an important topic for a long time. In this study, we review a free-form optimization method for the optimal shape design of composite structures composed of dissimilar materials in terms of the stiffness problem, the shape identification problem, and the vibration control problem. The free-form optimization method is based on the H¹ gradient method, in which the shape gradient functions are theoretically derived using the material derivative method, and applied to the design boundaries as traction forces. We set the interface and surface of composite structures as the design boundaries, and consider the volume constraints of the dissimilar materials in each design problem. At last, we give some numerical examples to verify the validity of the proposed free-form optimization method.