Structural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model

Structural reliability analysis is usually realized based on a multivariate performance function that depicts failure mechanisms of a structural system. The intensively computational cost of the brutal-force Monte-Carlo simulation motivates proposing a Gegenbauer polynomial-based surrogate model for...

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Autores principales:	Yixuan Dong, Shijie Wang
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a55db1a3efd143439689239402f4f65e
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spelling	oai:doaj.org-article:a55db1a3efd143439689239402f4f65e2021-11-08T02:36:59ZStructural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model1563-514710.1155/2021/8575107https://doaj.org/article/a55db1a3efd143439689239402f4f65e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8575107https://doaj.org/toc/1563-5147Structural reliability analysis is usually realized based on a multivariate performance function that depicts failure mechanisms of a structural system. The intensively computational cost of the brutal-force Monte-Carlo simulation motivates proposing a Gegenbauer polynomial-based surrogate model for effective structural reliability analysis in this paper. By utilizing the orthogonal matching pursuit algorithm to detect significant explanatory variables at first, a small number of samples are used to determine a reliable approximation result of the structural performance function. Several numerical examples in the literature are presented to demonstrate potential applications of the Gegenbauer polynomial-based sparse surrogate model. Accurate results have justified the effectiveness of the proposed approach in dealing with various structural reliability problems.Yixuan DongShijie WangHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Yixuan Dong Shijie Wang Structural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model
description	Structural reliability analysis is usually realized based on a multivariate performance function that depicts failure mechanisms of a structural system. The intensively computational cost of the brutal-force Monte-Carlo simulation motivates proposing a Gegenbauer polynomial-based surrogate model for effective structural reliability analysis in this paper. By utilizing the orthogonal matching pursuit algorithm to detect significant explanatory variables at first, a small number of samples are used to determine a reliable approximation result of the structural performance function. Several numerical examples in the literature are presented to demonstrate potential applications of the Gegenbauer polynomial-based sparse surrogate model. Accurate results have justified the effectiveness of the proposed approach in dealing with various structural reliability problems.
format	article
author	Yixuan Dong Shijie Wang
author_facet	Yixuan Dong Shijie Wang
author_sort	Yixuan Dong
title	Structural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model
title_short	Structural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model
title_full	Structural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model
title_fullStr	Structural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model
title_full_unstemmed	Structural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model
title_sort	structural reliability analysis via the multivariate gegenbauer polynomial-based sparse surrogate model
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/a55db1a3efd143439689239402f4f65e
work_keys_str_mv	AT yixuandong structuralreliabilityanalysisviathemultivariategegenbauerpolynomialbasedsparsesurrogatemodel AT shijiewang structuralreliabilityanalysisviathemultivariategegenbauerpolynomialbasedsparsesurrogatemodel
_version_	1718443124396654592

Structural Reliability Analysis via the Multivariate Gegenbauer Polynomial-Based Sparse Surrogate Model

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