Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach

Feng, J; Wu, D; Gao, W; Li, G

Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach

Feng, J Wu, D

Gao, W Li, G

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: Applied Mathematical Modelling: simulation and computation for engineering and environmental systems, 2017, 48, pp. 208-232
Issue Date:: 2017-08-01

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Field	Value	Language
dc.contributor.author	Feng, J
dc.contributor.author	Wu, D https://orcid.org/0000-0002-7284-5024
dc.contributor.author	Gao, W
dc.contributor.author	Li, G
dc.date.accessioned	2022-08-29T03:56:49Z
dc.date.available	2022-08-29T03:56:49Z
dc.date.issued	2017-08-01
dc.identifier.citation	Applied Mathematical Modelling: simulation and computation for engineering and environmental systems, 2017, 48, pp. 208-232
dc.identifier.issn	0307-904X
dc.identifier.issn	1872-8480
dc.identifier.uri	http://hdl.handle.net/10453/161014
dc.description.abstract	A novel computational method, namely the unified perturbation mathematical programming (UPMP) approach, for hybrid uncertainty analysis of engineering structures is proposed in this paper. The presented study considers a mixture of random and interval system parameters which are frequently encountered in engineering applications. Within the UPMP approach, matrix perturbation theory is adopted in combination with the mathematical programming approach. The proposed computational method provides a non-simulative hybrid uncertainty analysis framework, which is competent to offer the extreme bounds of the statistical characteristics (i.e., mean and variance) of any concerned structural responses in computationally tractable fashion. In order to thoroughly explore various intricate aspects of the engineering system involving hybrid uncertainties, systematic numerical experiments have also been conducted. Diverse statistical analyses are implemented to identify the bounded probability profile of the uncertain structural responses. Both academic and practical engineering structures are investigated to justify the applicability, accuracy and efficiency of the proposed UPMP approach.
dc.language	en
dc.publisher	Elsevier
dc.relation.ispartof	Applied Mathematical Modelling: simulation and computation for engineering and environmental systems
dc.relation.isbasedon	10.1016/j.apm.2017.03.066
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 0801 Artificial Intelligence and Image Processing
dc.subject.classification	Mechanical Engineering & Transports
dc.title	Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach
dc.type	Journal Article
utslib.citation.volume	48
utslib.for	0102 Applied Mathematics
utslib.for	0103 Numerical and Computational Mathematics
utslib.for	0801 Artificial Intelligence and Image Processing
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-08-29T03:56:47Z
pubs.publication-status	Published
pubs.volume	48

Abstract:

A novel computational method, namely the unified perturbation mathematical programming (UPMP) approach, for hybrid uncertainty analysis of engineering structures is proposed in this paper. The presented study considers a mixture of random and interval system parameters which are frequently encountered in engineering applications. Within the UPMP approach, matrix perturbation theory is adopted in combination with the mathematical programming approach. The proposed computational method provides a non-simulative hybrid uncertainty analysis framework, which is competent to offer the extreme bounds of the statistical characteristics (i.e., mean and variance) of any concerned structural responses in computationally tractable fashion. In order to thoroughly explore various intricate aspects of the engineering system involving hybrid uncertainties, systematic numerical experiments have also been conducted. Diverse statistical analyses are implemented to identify the bounded probability profile of the uncertain structural responses. Both academic and practical engineering structures are investigated to justify the applicability, accuracy and efficiency of the proposed UPMP approach.

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http://hdl.handle.net/10453/161014