A new reliability analysis method for uncertain structures with random and interval variables

被引:97
作者
Jiang, C. [1 ]
Lu, G. Y. [1 ]
Han, X. [1 ]
Liu, L. X. [1 ]
机构
[1] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Coll Mech & Vehicle Engn, Changsha 410082, Hunan, Peoples R China
基金
湖南省自然科学基金; 美国国家科学基金会;
关键词
Reliability analysis; Hybrid uncertain model; Probability; Interval; Reliability index approach; CONVEX MODELS; EXCITATION;
D O I
10.1007/s10999-012-9184-8
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, a new reliability analysis method is developed for uncertain structures with mixed uncertainty. In our problem, the uncertain parameters with sufficient information are treated by random distributions, while some ones with limited information can only be given variation intervals. A complex nesting optimization will be involved when using the existing methods to compute such a hybrid reliability, which will lead to extremely low efficiency or instable convergence performance. In this paper, an equivalent model is firstly created for the hybrid reliability, which is a conventional reliability analysis problem with only random variables. Thus only through computing the reliability of the equivalent model the original hybrid reliability can be easily evaluated. Based on the above equivalent model, an algorithm with high efficiency and robust convergence performance is then constructed for computation of the above hybrid reliability with both random and interval variables. Two numerical examples are provided to demonstrate the effectiveness of the present method.
引用
收藏
页码:169 / 182
页数:14
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