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Reliability-based design optimization for elastoplastic mechanical structures
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DOI：10.1016/j.compstruc.2006.08.076.png)
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Abstract
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In this paper, two special formulations to carry out a reliability-based design optimization of elastoplastic mechanical structures are introduced. The first approach is based on a well-known two-level method where the first level involves the optimization for the design parameters whereas the evaluation of the probabilistic constraints is carried out in a sub-optimization level. Because the evaluation of the probabilistic constraints in a sub-optimization level causes non-convergence behavior for some problems as indicated in the literature, an alternative formulation based on one-level is developed considering the optimality conditions of the beta-computation by which the probabilistic constraint appears in the first level reliability-based design optimization formulation. In both approaches, an explicit parameter optimization problem is proposed for the computation of a design point z*(x) for elastoplastic structures. Three examples in this paper demonstrate that the one-level reliability-based design optimization formulation is superior in terms of convergence to an optimal design than the two-level reliability-based design optimization formulation. (c) 2006 Civil-Comp Ltd. and Elsevier Ltd. All rights reserved.
Keywords:
reliability-based design optimization
reliability analysis
elastoplastic mechanical structures
direct computation of the beta-point
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