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发表时间：2022-10-09

发表刊物：力学学报

所属单位：运载工程与力学学部

期号：1

页面范围：57-65

ISSN号：0459-1879

摘要：The perturbation-based stochastic finite element analysis incorporating structural optimization techniques is employed in the structural robust design problem. In the framework of the second-order perturbation-based stochastic finite element method, the computational schemes for the expected value and the variance of the structural performance functional as well as their sensitivity are proposed. The robust design of structures is formulated as a multi-criteria optimization problem, in which both the expected value and the standard deviation of the objective function are to be minimized. The robustness of the design feasibility is also accounted for by involving the variability of the structural response in the constraints. The optimization problem is converted into a scalar one and solved by a gradient based optimization algorithm. To demonstrate the applicability of the presented method, numerical examples are given.

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