線形座屈荷重最大化と部材長一様化を目的とした単層ラチスシェルの形状最適化

抄録

Optimal shapes are found for latticed shells defined by Bezier surfaces. The linear buckling load factor is first maximized under constraints on slenderness ratios of members. Optimization problems for minimizing the difference between the maximum and minimum lengths among the specified members are successively solved to obtain an optimal shape in view of construction efficiency. The geometrically nonlinear properties of optimal solutions are investigated to find that the applied loads are transmitted to the supports through axial forces rather than bending moments. It is shown that the nonlinear buckling loads are successfully increased by optimizing the shape with respect to linear buckling loads, and that no significant increase is observed in the imperfection sensitivity as the result of optimization.