抄録
In this paper, a parameter-free, or a node-based optimization method is presented for designing the smooth optimal free-form of frame structures. The design problems dealt with in this paper is a stiffness problem. The compliance is minimized under a volume constraint. The optimum design problem is formulated as a distributed-parameter shape optimization problem under the assumptions that a frame is varied in the out-of-plane direction to the frame and the cross section is constant. The shape gradient function and the optimality conditions are then theoretically derived. The optimal curvature distribution is determined by applying the derived shape gradient function to the frame as pseudo external forces to vary the frame and to minimize the objective functional by the free-form optimization method, a gradient method in a Hilbelt space. The validity and practical utility of this method were verified through design examples. It was confirmed that the axial-lead-carrying structures were obtained by using this method.
