著者

下田 昌利

出版者

湘南工科大学

雑誌

湘南工科大学紀要 = Memoirs of Shonan Institute of Technology (ISSN:09192549)

巻号頁・発行日

vol.37, no.1, pp.17-29, 2003-03-18

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In this paper, a numerical shape optimization method of continua is presented for typical strength, rigidity and vibration problems in structural designs. As the strength problems, the minimization problem of maximum stress and the shape determination problems that achieve a given desired stress distribution are formulated. The rigidity problems involve the minimization problem of external work and the shape determination problems that achieve a given desired displacement distribution. Also, the vibration problems involve maximization of eigen frequency with mode tracking. Each problem is formulated and sensitivity functions are derived using the Lagrangian multiplier method and the material derivative method. The traction method, which is a shape optimization method, is employed to find the optimal domain variation that reduces the objective functional. The proposed numerical analysis method makes it possible to design optimal structures efficiently. Examples of computed results are presented to show the validity and practical utility of the proposed method.