Abstract
In this paper, a robust shape optimization method for a shell structure with unknown loadings is presented. The concept of minimizing the maximum compliance called principal compliance is applied to a shape optimization problem of a shell structure. The principal compliance minimization problem is transformed to the equivalent maximization problem of the fundamental eigenvalue of the stiffness tensor, and formulated. The derived shape gradient function is applied to the H' gradient method for shells to determine the optimal shape variation, or the optimal free-form. With this method, the optimal smooth curvature distribution of a shell structure can be determined without shape parameterization. The calculated results show the effectiveness of the proposed method for robust shape optimization of a shell with unknown loadings.
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