骨組－シェル複合構造体の弾性座屈に対する最適形状設計

抄録

Buckling is one of the important factors in structural design. In this work, we propose a computational method for designing frame-shell structures, whose shapes are optimized for the elastic buckling enhancement. The 1st buckling load of a frame-shell structure is maximized under a volume constraint. The shape gradient function and the optimality conditions for the shape design optimization are theoretically derived based on the Lagrange multiplier method, the adjoint variable method, and the formulae of the material derivative. Using the proposed shape optimization method, the optimal shape of an arbitrary frame-shell structure can be obtained without any shape parametrization while maintaining the smoothness. The numerical results show that the shape optimization method has the validity to determine the optimal free-forms of frame-shell structures for the elastic buckling design problem.