@article{oai:nagoya.repo.nii.ac.jp:00010352,
 author = {下田, 昌利 and SHIMODA, Masatoshi and 辻, 二郎 and TSUJI, Jiro and 神田, 康宏 and KANDA, Yasuhiro and 畔上, 秀幸 and AZEGAMI, Hideyuki},
 journal = {日本機械学会平成15年度機械力学・計測制御講演会講演論文集},
 month = {Sep},
 note = {In this paper, we present a solution to shape optimization of plate and shell structures for a natural frequency problem. The weight is minimized under a natural frequency constraint. The designed boundaries are assumed to be movable only to in-plane directions. Optimized structures are discretized by the plane elements based on the Mindlin-Reissner's plate theory. A non-parametric, or a distributed shape optimization problem is formulated and the shape gradient function is theoretically derived using the material derivative method and the Lagrange multiplier method. The traction method, or the shape optimization method developed by authors is applied to obtain the optimal shape in this problem. The validity of this numerical solution to minimize the weight of plate and shell structures is verified through simple and practical examples.},
 pages = {148--148},
 title = {固有振動数制約付き Mindlin 板・シェル構造の重量最小形状設計},
 year = {2003}
}