Robust fuzzy structural safety assessment using mathematical programming approach

Wu, D; Gao, W; Wang, C; Tangaramvong, S; Tin-Loi, F

Robust fuzzy structural safety assessment using mathematical programming approach

Wu, D

Gao, W Wang, C Tangaramvong, S Tin-Loi, F

Permalink

Publisher:: Elsevier BV
Publication Type:: Journal Article
Citation:: Fuzzy Sets and Systems, 2016, 293, pp. 30-49
Issue Date:: 2016-06-15

Closed Access

	Filename	Description	Size
	1-s2.0-S0165011415004418-main.pdf	Published version	600.11 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Wu, D https://orcid.org/0000-0002-7284-5024
dc.contributor.author	Gao, W
dc.contributor.author	Wang, C
dc.contributor.author	Tangaramvong, S
dc.contributor.author	Tin-Loi, F
dc.date.accessioned	2022-08-14T23:25:31Z
dc.date.available	2022-08-14T23:25:31Z
dc.date.issued	2016-06-15
dc.identifier.citation	Fuzzy Sets and Systems, 2016, 293, pp. 30-49
dc.identifier.issn	0165-0114
dc.identifier.uri	http://hdl.handle.net/10453/160155
dc.description.abstract	This paper presents a robust safety assessment for engineering structures involving fuzzy uncertainties. Uncertain applied loads and yielding capacities of structural elements are modelled as fuzzy variables with associated membership functions representing possibility distributions. A new computation-orientated methodology, namely the α-level collapse assessment (α-level CA) approach, is developed to provide structural safety profile by constructing membership function of the structural collapse load limit accommodating fuzzy uncertainties. The proposed method firstly utilizes the α-level strategy to transform the fuzzy limit analysis into a series of interval limit analyses. By implementing the concept of robust and optimistic optimizations, a mathematical programming (MP) scheme is proposed to explicitly capture the upper and lower bounds of the collapse load limit at each α-sublevel. Subsequently, the membership function of the collapse load limit is established by using the upper and lower bounds obtained from the series of α-sublevel calculations. The proposed α-level mathematical programming scheme preserves the quality of sharpness of the bounds of collapse load limit at each α-sublevel, which consequently provides a rigorous evaluation on the fuzzy profile of the safety of engineering structures against structural collapse. Numbers of numerical examples, motivated by real-world engineering applications, have been investigated to illustrate the accuracy, efficiency and applicability of the proposed method.
dc.language	en
dc.publisher	Elsevier BV
dc.relation.ispartof	Fuzzy Sets and Systems
dc.relation.isbasedon	10.1016/j.fss.2015.09.011
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0101 Pure Mathematics, 0801 Artificial Intelligence and Image Processing
dc.subject.classification	Artificial Intelligence & Image Processing
dc.title	Robust fuzzy structural safety assessment using mathematical programming approach
dc.type	Journal Article
utslib.citation.volume	293
utslib.for	0101 Pure 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	*
dc.date.updated	2022-08-14T23:25:30Z
pubs.publication-status	Published
pubs.volume	293

Abstract:

This paper presents a robust safety assessment for engineering structures involving fuzzy uncertainties. Uncertain applied loads and yielding capacities of structural elements are modelled as fuzzy variables with associated membership functions representing possibility distributions. A new computation-orientated methodology, namely the α-level collapse assessment (α-level CA) approach, is developed to provide structural safety profile by constructing membership function of the structural collapse load limit accommodating fuzzy uncertainties. The proposed method firstly utilizes the α-level strategy to transform the fuzzy limit analysis into a series of interval limit analyses. By implementing the concept of robust and optimistic optimizations, a mathematical programming (MP) scheme is proposed to explicitly capture the upper and lower bounds of the collapse load limit at each α-sublevel. Subsequently, the membership function of the collapse load limit is established by using the upper and lower bounds obtained from the series of α-sublevel calculations. The proposed α-level mathematical programming scheme preserves the quality of sharpness of the bounds of collapse load limit at each α-sublevel, which consequently provides a rigorous evaluation on the fuzzy profile of the safety of engineering structures against structural collapse. Numbers of numerical examples, motivated by real-world engineering applications, have been investigated to illustrate the accuracy, efficiency and applicability of the proposed method.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/160155