2019
DOI: 10.1002/nme.6277
|View full text |Cite
|
Sign up to set email alerts
|

Generalized F‐discrepancy‐based point selection strategy for dependent random variables in uncertainty quantification of nonlinear structures

Abstract: Summary 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 fun… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
3
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
5
1

Relationship

0
6

Authors

Journals

citations
Cited by 30 publications
(3 citation statements)
references
References 40 publications
(73 reference statements)
0
3
0
Order By: Relevance
“…Uncertainty quantification through probabilistic assessment is a statistical tool to understand a complex engineering process under extrinsic or intrinsic variations [20,21]. It is important a decision-maker to quantify uncertainties for making a sensible judgement about the model response [22,23].…”
Section: Probabilistic Analysis For Single Diode Model Of a Solar Cellmentioning
confidence: 99%
“…Uncertainty quantification through probabilistic assessment is a statistical tool to understand a complex engineering process under extrinsic or intrinsic variations [20,21]. It is important a decision-maker to quantify uncertainties for making a sensible judgement about the model response [22,23].…”
Section: Probabilistic Analysis For Single Diode Model Of a Solar Cellmentioning
confidence: 99%
“…The solution scheme for the probability density evolution method includes sample generation, determined analysis, solution of generalized density evolution equation, and calculation of probability density. For the sample generation, the point selection strategy based on the number theoretic method, 53 the sphere of contact, 54 generalized F‐discrepancy, 55 and vine copula 56 have been successively developed. For the solution of generalized density evolution equation, Li and Chen proposed Lax–Wendroff 52 and total variation diminishing solution schemes, 57 and a family of δ sequences, 58 direct probability integral method 59 are developed based on the idea of point evolution.…”
Section: Introductionmentioning
confidence: 99%
“…Fortunately, a point selection method based on generalized F-discrepancy (GF-discrepancy) can deal with this problem. This method was proposed by Chen et al (2016) and improved by Yang et al (2019), and it has the advantage of handling multidimensional variable point selection with very small deviations. The principle of the method is to sample multidimensional random variables by partitioning their geometric space using Voronoi cells.…”
Section: Introductionmentioning
confidence: 99%