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论文类型：期刊论文

发表时间：2013-05-01

发表刊物：STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

收录刊物：SCIE、EI、Scopus

卷号：47

期号：5

页面范围：699-714

ISSN号：1615-147X

关键字：Structural optimization; Robust design optimization; Uncertainty; Non-probabilistic model; Convex model

摘要：This paper investigates robust design optimization of truss structures with uncertain-but-bounded parameters and loads. The variations of the cross-sectional areas, Young's moduli and applied loads are treated with non-probabilistic ellipsoid convex models. A robustness index for quantitatively measuring the maximal allowable magnitude of system variations is presented, and the design problem is then formulated as to maximize the minimum of the robustness indices for all the concerned design requirements under a given material volume constraint. For circumventing the difficulty associated with the max-min type problem, an aggregate function technique is employed to construct a smooth objective function. The computational scheme for the sensitivity of the robustness index is derived on the basis of optimum sensitivity analysis. The optimization problem is then solved by using the GCMMA optimizer. Numerical examples illustrate the validity and effectiveness of the present formulation and solution techniques.