Topology optimization considering geometrical nonlinearity under uncertain loading condition

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  • 荷重条件の不確かさと幾何学的非線形性を考慮したトポロジー最適化

Abstract

<p>The present paper proposes a topology optimization method considering finite deformation for loading uncertainty. The loading angle is assumed to be uncertain as a condition. The objective is to minimize mean and standard deviation of structural compliance. In case of finite deformation theory, an analytical estimation of the mean and the standard deviation is not allowed. In order to solve this problem, we approximate the objective function by a Taylor series expansion and derive the mathematical formulation. In this approach, the second derivative of the objective function is necessary to keep the accuracy in sensitivity. This phenomenon is investigated in terms of numerical validations. Finally, some numerical examples demonstrate the usefulness of the proposed method.</p>

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