J121011 A Non-parametric Shape Optimization Method for Stiffeners on Shell Structures

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  • J121011 シェル構造における補強リブのノンパラメトリック形状最適化手法([J121-01]解析・設計の高度化・最適化(1))

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This paper presents a shape optimization method for designing the stiffeners on thin-walled or shell structures. The solutions to stiffness maximization problem subject to a volume constraint, and its reciprocal volume minimization problem subject to a compliance constraint are proposed. The both optimization problems are formulated as distributed-parameter shape optimization problems, and the shape gradient functions are derived using the material derivative method and the adjoint variable method. The optimal free-boundary shapes of the stiffeners are determined by applying the derived shape gradient function to the H^1 gradient method for shell. Several optimal stiffener design examples are demonstrated to verify the validity and practical utility of the proposed method.

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