抄録
A new approach is proposed for shape optimization of shell structures, where requirements on the aesthetic aspect and the constructability as well as the structural rationality are simultaneously considered in the problem formulation. The surface shape is modeled using a tensor-product Bézier surface to reduce the number of variables, while the ability to generate moderately complex shape is maintained. The strain energy is used to represent the mechanical performance, and the aesthetic properties and smoothness of the surface are quantified by algebraic invariants of the surface. The condition of the developable surface is ensured by incorporating the constraints on the principal curvature. The sequential quadratic programming method is used to obtain the optimum shape of shell structures. The effectivity of the present approach is confirmed through several numerical examples, and the characteristics of the results are discussed.
