A study of structural reliability analysis based on simulation using all quadrants sampling method

This study describes a simulation-based estimation procedure of the structural failure probability using an “all quadrants sampling method” newly proposed, in which a sample called as a real sample is generated in an arbitrary quadrant of the basic variable space and then the coordinates of the real...

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Main Authors: Shoya OKUDA, Masaaki YONEZAWA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2020-01-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/86/882/86_19-00242/_pdf/-char/en
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author Shoya OKUDA
Masaaki YONEZAWA
author_facet Shoya OKUDA
Masaaki YONEZAWA
author_sort Shoya OKUDA
collection DOAJ
description This study describes a simulation-based estimation procedure of the structural failure probability using an “all quadrants sampling method” newly proposed, in which a sample called as a real sample is generated in an arbitrary quadrant of the basic variable space and then the coordinates of the real sample point is transformed into those of pseudo sample points over all of other quadrants by applying the previously proposed “inter-quadrant relational expression.” That is, once a real sample is generated in an arbitrary quadrant, and then pseudo samples are determined in all other quadrants concurrently. All of real and pseudo samples thus determined are used for the simulation to estimate structural failure probabilities. Numerical examples of various simulation methods combined with the proposed “all quadrants sampling method,” that is, “all quadrant sampling Monte Carlo simulation,” “all quadrant sampling directional simulation,” etc. are presented showing that the proposed method is effective for shortening simulation time.
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spelling doaj.art-62220604293f437cbb666eccc7c67a322022-12-22T02:52:21ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612020-01-018688219-0024219-0024210.1299/transjsme.19-00242transjsmeA study of structural reliability analysis based on simulation using all quadrants sampling methodShoya OKUDA0Masaaki YONEZAWA1Technical College, Kindai UniversityDepartment of Mechanical Engineering, Kindai UniversityThis study describes a simulation-based estimation procedure of the structural failure probability using an “all quadrants sampling method” newly proposed, in which a sample called as a real sample is generated in an arbitrary quadrant of the basic variable space and then the coordinates of the real sample point is transformed into those of pseudo sample points over all of other quadrants by applying the previously proposed “inter-quadrant relational expression.” That is, once a real sample is generated in an arbitrary quadrant, and then pseudo samples are determined in all other quadrants concurrently. All of real and pseudo samples thus determined are used for the simulation to estimate structural failure probabilities. Numerical examples of various simulation methods combined with the proposed “all quadrants sampling method,” that is, “all quadrant sampling Monte Carlo simulation,” “all quadrant sampling directional simulation,” etc. are presented showing that the proposed method is effective for shortening simulation time.https://www.jstage.jst.go.jp/article/transjsme/86/882/86_19-00242/_pdf/-char/enstructural failure probabilitysimulation based reliability analysismonte carlo simulationdirectional simulation
spellingShingle Shoya OKUDA
Masaaki YONEZAWA
A study of structural reliability analysis based on simulation using all quadrants sampling method
Nihon Kikai Gakkai ronbunshu
structural failure probability
simulation based reliability analysis
monte carlo simulation
directional simulation
title A study of structural reliability analysis based on simulation using all quadrants sampling method
title_full A study of structural reliability analysis based on simulation using all quadrants sampling method
title_fullStr A study of structural reliability analysis based on simulation using all quadrants sampling method
title_full_unstemmed A study of structural reliability analysis based on simulation using all quadrants sampling method
title_short A study of structural reliability analysis based on simulation using all quadrants sampling method
title_sort study of structural reliability analysis based on simulation using all quadrants sampling method
topic structural failure probability
simulation based reliability analysis
monte carlo simulation
directional simulation
url https://www.jstage.jst.go.jp/article/transjsme/86/882/86_19-00242/_pdf/-char/en
work_keys_str_mv AT shoyaokuda astudyofstructuralreliabilityanalysisbasedonsimulationusingallquadrantssamplingmethod
AT masaakiyonezawa astudyofstructuralreliabilityanalysisbasedonsimulationusingallquadrantssamplingmethod
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AT masaakiyonezawa studyofstructuralreliabilityanalysisbasedonsimulationusingallquadrantssamplingmethod