A De-Nesting Hybrid Reliability Analysis Method and Its Application in Marine Structure

In recent years, marine structures have been widely used in the world, making significant contributions to the utilization of marine resources. In the design of marine structures, there is a hybrid reliability problem arising from aleatory uncertainty and epistemic uncertainty. In many cases, episte...

Full description

Saved in:
Bibliographic Details
Main Authors: Chenfeng Li, Tenglong Jin, Zequan Chen, Guanchen Wei
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/12/12/2221
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1846104171056463872
author Chenfeng Li
Tenglong Jin
Zequan Chen
Guanchen Wei
author_facet Chenfeng Li
Tenglong Jin
Zequan Chen
Guanchen Wei
author_sort Chenfeng Li
collection DOAJ
description In recent years, marine structures have been widely used in the world, making significant contributions to the utilization of marine resources. In the design of marine structures, there is a hybrid reliability problem arising from aleatory uncertainty and epistemic uncertainty. In many cases, epistemic uncertainty is estimated by interval parameters. Traditional methods for hybrid reliability analysis usually require a nested optimization framework, which will lead to too many calls to the limit state function (LSF) and result in poor computational efficiency. In response to this problem, this paper proposes a de-nesting hybrid reliability analysis method creatively. Firstly, it uses the p-box model to describe the epistemic uncertainty variables, and then the linear approximation (LA) model and the two-point adaptive nonlinear approximation (TANA) model are combined to approximate the upper and lower bounds of LSF with epistemic uncertainty. Based on the first-order reliability method (FORM), an iterative operation is used to obtain the interval of the non-probability hybrid reliability index. The traditional nested optimization structure is effectively eliminated by the above approximation method, which efficiently reduces the times of LSF calls and increases the calculation speed while preserving sufficient accuracy. Finally, one numerical example and two engineering examples are provided to show the greater effectiveness of this method than the traditional nested optimization method.
format Article
id doaj-art-c390b995a02145caab0c67a20b117185
institution Kabale University
issn 2077-1312
language English
publishDate 2024-12-01
publisher MDPI AG
record_format Article
series Journal of Marine Science and Engineering
spelling doaj-art-c390b995a02145caab0c67a20b1171852024-12-27T14:33:17ZengMDPI AGJournal of Marine Science and Engineering2077-13122024-12-011212222110.3390/jmse12122221A De-Nesting Hybrid Reliability Analysis Method and Its Application in Marine StructureChenfeng Li0Tenglong Jin1Zequan Chen2Guanchen Wei3College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaIn recent years, marine structures have been widely used in the world, making significant contributions to the utilization of marine resources. In the design of marine structures, there is a hybrid reliability problem arising from aleatory uncertainty and epistemic uncertainty. In many cases, epistemic uncertainty is estimated by interval parameters. Traditional methods for hybrid reliability analysis usually require a nested optimization framework, which will lead to too many calls to the limit state function (LSF) and result in poor computational efficiency. In response to this problem, this paper proposes a de-nesting hybrid reliability analysis method creatively. Firstly, it uses the p-box model to describe the epistemic uncertainty variables, and then the linear approximation (LA) model and the two-point adaptive nonlinear approximation (TANA) model are combined to approximate the upper and lower bounds of LSF with epistemic uncertainty. Based on the first-order reliability method (FORM), an iterative operation is used to obtain the interval of the non-probability hybrid reliability index. The traditional nested optimization structure is effectively eliminated by the above approximation method, which efficiently reduces the times of LSF calls and increases the calculation speed while preserving sufficient accuracy. Finally, one numerical example and two engineering examples are provided to show the greater effectiveness of this method than the traditional nested optimization method.https://www.mdpi.com/2077-1312/12/12/2221structural reliabilityFORMapproximation modelde-nestingmarine structure
spellingShingle Chenfeng Li
Tenglong Jin
Zequan Chen
Guanchen Wei
A De-Nesting Hybrid Reliability Analysis Method and Its Application in Marine Structure
Journal of Marine Science and Engineering
structural reliability
FORM
approximation model
de-nesting
marine structure
title A De-Nesting Hybrid Reliability Analysis Method and Its Application in Marine Structure
title_full A De-Nesting Hybrid Reliability Analysis Method and Its Application in Marine Structure
title_fullStr A De-Nesting Hybrid Reliability Analysis Method and Its Application in Marine Structure
title_full_unstemmed A De-Nesting Hybrid Reliability Analysis Method and Its Application in Marine Structure
title_short A De-Nesting Hybrid Reliability Analysis Method and Its Application in Marine Structure
title_sort de nesting hybrid reliability analysis method and its application in marine structure
topic structural reliability
FORM
approximation model
de-nesting
marine structure
url https://www.mdpi.com/2077-1312/12/12/2221
work_keys_str_mv AT chenfengli adenestinghybridreliabilityanalysismethodanditsapplicationinmarinestructure
AT tenglongjin adenestinghybridreliabilityanalysismethodanditsapplicationinmarinestructure
AT zequanchen adenestinghybridreliabilityanalysismethodanditsapplicationinmarinestructure
AT guanchenwei adenestinghybridreliabilityanalysismethodanditsapplicationinmarinestructure
AT chenfengli denestinghybridreliabilityanalysismethodanditsapplicationinmarinestructure
AT tenglongjin denestinghybridreliabilityanalysismethodanditsapplicationinmarinestructure
AT zequanchen denestinghybridreliabilityanalysismethodanditsapplicationinmarinestructure
AT guanchenwei denestinghybridreliabilityanalysismethodanditsapplicationinmarinestructure