Complex法による一般的な積層長方形板の基本振動数の最大化設計

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  • Maximization of Fundamental Frequency for Generally Laminated Rectangular Plates by the Complex Method.
  • Complexホウ ニヨル イッパンテキ ナ セキソウ チョウホウケイバン ノ

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This paper concerns the optimum design of generally laminated rectangular plates having arbitrary boundary conditions. The optimum design criterion is maximization of the fundamental frequency, and the design variables are fiber orientation angles of the constituent laminae. A previously developed analytical method is used to calculate natural frequencies. A complex method, which is an extension of the simplex method to more complicated problems with constraints, is applied to the optimization procedure. The optimal stacking sequences of laminated plates for two composite materials with different degrees of orthotropy are obtained in numerical examples, and the applicability of the present design method is demonstrated.

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