期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 121, 期 7, 页码 1507-1529出版社
WILEY
DOI: 10.1002/nme.6277
关键词
conditional iterative screening-rearrangement method; copula; dependent random variables; generalized F-discrepancy; probability density evolution method
资金
- National Natural Science Foundation of China [51725804, 11672209, 51538010]
- NSFC-DFG [11761131014]
- Committee of Science and Technology of Shanghai China [18160712800]
- Research Fund for State Key Laboratories of Ministry of Science and Technology of China [SLDRCE19-B-23]
In the performance evaluation of structures under disastrous actions, for example, earthquakes, it is important to take into account the randomness of structural parameters. Generally, these random parameters are treated either as independent or perfectly dependent, but practically they are partly dependent. This article aims at developing a point selection strategy for uncertainty quantification of nonlinear structures involving probabilistically dependent random parameters characterized by copula function. For this purpose, the point selection strategy for structures involving independent basic variables is first revisited. As an improvement, a generalized F-discrepancy diminishing oriented iterative screening algorithm is proposed. Then, combining with the conditional sampling method, a conditional point set rearrangement method and a conditional iterative screening-rearrangement method are proposed for probabilistically dependent variables. These new point selection strategies are readily incorporated into the probability density evolution method for uncertainty quantification of nonlinear structures involving dependent random parameters, which is characterized by copula function. The proposed methods are illustrated by two examples including a shear frame with hysteretic restoring forces and a reinforced concrete frame structure with the damage constitutive model of concrete, where the material parameters are probabilistically dependent. The results demonstrate the effectiveness of the proposed method. Problems to be studied are discussed.
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