構造物の内部形態の最適化とそれに基づく負荷環境の解析

概要

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It is said that cancerous bone of animal is optimum in the mechanical viewpoint and its configuration has some suggestion for orthopedic operation. It is necessary to know the loading conditions from the configuration. Cancerous bone resembles a truss continuum. Hence, this paper considers the relation between loads and optimum configuration of a truss continuum. First, applying the inverse variational principle based on the principle of mimimum potential energy, an optimization problem for the distribution of members of a truss continuum is formulated with respect to the density and direction. Second, the change of optimal structure with loading condition is considered. Third, the possibility of identifying unknown applied loads from the optimal shape is discussed. Lastly, the optimization and identification are investigated analytically for a truss continuum with a single element.
一般社団法人日本機械学会の論文
1994-10-25