Two basic problems in reliability-based structural optimization

被引:0
|
作者
Norbert Kuschel
Rüdiger Rackwitz
机构
[1] Technische Universität München,
来源
Mathematical Methods of Operations Research | 1997年 / 46卷
关键词
Reliability-oriented optimization; structural reliability; reliability optimization; cost optimization; one-level optimization;
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学科分类号
摘要
Optimization of structures with respect to performance, weight or cost is a well-known application of mathematical optimization theory. However optimization of structures with respect to weight or cost under probabilistic reliability constraints or optimization with respect to reliability under cost/weight constraints has been subject of only very few studies. The difficulty in using probabilistic constraints or reliability targets lies in the fact that modern reliability methods themselves are formulated as a problem of optimization. In this paper two special formulations based on the so-called first-order reliability method (FORM) are presented. It is demonstrated that both problems can be solved by a one-level optimization problem, at least for problems in which structural failure is characterized by a single failure criterion. Three examples demonstrate the algorithm indicating that the proposed formulations are comparable in numerical effort with an approach based on semi-infinite programming but are definitely superior to a two-level formulation.
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页码:309 / 333
页数:24
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