An efficient reliability method for composite laminates with high-dimensional uncertainty variables
This paper develops an efficient reliability analysis method for composite structures with high-dimensional uncertain variables. The concept and mathematical definition of the approximate design point (ADP) and the approximate important direction (AID) are introduced. A fast calculation ADP/AID form...
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Veröffentlicht in: | Acta mechanica 2021-09, Vol.232 (9), p.3509-3527 |
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description | This paper develops an efficient reliability analysis method for composite structures with high-dimensional uncertain variables. The concept and mathematical definition of the approximate design point (ADP) and the approximate important direction (AID) are introduced. A fast calculation ADP/AID formula is proposed. A numerical line sampling (LS) strategy is devised, which is further combined with ADP/AID to form a novel reliability method, named AID-LS. An equivalent criterion is introduced to address the problems with the non-normal random variables. A stochastic mechanical model of composite structures with geometrical nonlinearity is established based on first-order shear deformation theory and implemented with finite element analysis (FEA). Numerical examples are given to demonstrate the validity of the proposed method. The results show that the proposed method can significantly reduce the number of FEA samples in the reliability analysis of composite structures. |
doi_str_mv | 10.1007/s00707-021-03008-2 |
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The concept and mathematical definition of the approximate design point (ADP) and the approximate important direction (AID) are introduced. A fast calculation ADP/AID formula is proposed. A numerical line sampling (LS) strategy is devised, which is further combined with ADP/AID to form a novel reliability method, named AID-LS. An equivalent criterion is introduced to address the problems with the non-normal random variables. A stochastic mechanical model of composite structures with geometrical nonlinearity is established based on first-order shear deformation theory and implemented with finite element analysis (FEA). Numerical examples are given to demonstrate the validity of the proposed method. The results show that the proposed method can significantly reduce the number of FEA samples in the reliability analysis of composite structures.</description><identifier>ISSN: 0001-5970</identifier><identifier>EISSN: 1619-6937</identifier><identifier>DOI: 10.1007/s00707-021-03008-2</identifier><language>eng</language><publisher>Vienna: Springer Vienna</publisher><subject>Analysis ; Classical and Continuum Physics ; Composite structures ; Control ; Dynamical Systems ; Engineering ; Engineering Fluid Dynamics ; Engineering Thermodynamics ; Finite element method ; Heat and Mass Transfer ; Laminated materials ; Laminates ; Methods ; Original Paper ; Random variables ; Reliability analysis ; Reliability engineering ; Shear deformation ; Solid Mechanics ; Structural reliability ; Theoretical and Applied Mechanics ; Vibration</subject><ispartof>Acta mechanica, 2021-09, Vol.232 (9), p.3509-3527</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021</rights><rights>COPYRIGHT 2021 Springer</rights><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c288t-1ee93f3dde648fe804084b299a53e2ebba3ce41e32f6e085932103f3363dbd53</citedby><cites>FETCH-LOGICAL-c288t-1ee93f3dde648fe804084b299a53e2ebba3ce41e32f6e085932103f3363dbd53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00707-021-03008-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00707-021-03008-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Shi, Benke</creatorcontrib><creatorcontrib>Deng, Zhongmin</creatorcontrib><title>An efficient reliability method for composite laminates with high-dimensional uncertainty variables</title><title>Acta mechanica</title><addtitle>Acta Mech</addtitle><description>This paper develops an efficient reliability analysis method for composite structures with high-dimensional uncertain variables. The concept and mathematical definition of the approximate design point (ADP) and the approximate important direction (AID) are introduced. A fast calculation ADP/AID formula is proposed. A numerical line sampling (LS) strategy is devised, which is further combined with ADP/AID to form a novel reliability method, named AID-LS. An equivalent criterion is introduced to address the problems with the non-normal random variables. A stochastic mechanical model of composite structures with geometrical nonlinearity is established based on first-order shear deformation theory and implemented with finite element analysis (FEA). Numerical examples are given to demonstrate the validity of the proposed method. The results show that the proposed method can significantly reduce the number of FEA samples in the reliability analysis of composite structures.</description><subject>Analysis</subject><subject>Classical and Continuum Physics</subject><subject>Composite structures</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Engineering Fluid Dynamics</subject><subject>Engineering Thermodynamics</subject><subject>Finite element method</subject><subject>Heat and Mass Transfer</subject><subject>Laminated materials</subject><subject>Laminates</subject><subject>Methods</subject><subject>Original Paper</subject><subject>Random variables</subject><subject>Reliability analysis</subject><subject>Reliability engineering</subject><subject>Shear deformation</subject><subject>Solid Mechanics</subject><subject>Structural reliability</subject><subject>Theoretical and Applied Mechanics</subject><subject>Vibration</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kMtKBDEQRYMoOD5-wFXAdbSS9HM5iC8Q3LgP6XRlJtKdjElG8e-NtuBOCqqo4p5LcQm54HDFAdrrVBq0DARnIAE6Jg7Iije8Z00v20OyAgDO6r6FY3KS0mvZRFvxFTFrT9FaZxz6TCNOTg9ucvmTzpi3YaQ2RGrCvAvJZaSTnp3XGRP9cHlLt26zZaOb0ScXvJ7o3huMWTtfDN51LGYTpjNyZPWU8Px3npKXu9uXmwf29Hz_eLN-YkZ0XWYcsZdWjiM2VWexgwq6ahB9r2uJAodBS4MVRylsg9DVvRQcCiAbOQ5jLU_J5WK7i-Ftjymr17CP5aukRN3Uom3aXhbV1aLa6AmV8zbkqE2pEWdngkfryn3dtLLmIODbViyAiSGliFbtopt1_FQc1Hf4aglflfDVT_hKFEguUCpiv8H498s_1Bdnq4iM</recordid><startdate>20210901</startdate><enddate>20210901</enddate><creator>Shi, Benke</creator><creator>Deng, Zhongmin</creator><general>Springer Vienna</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7XB</scope><scope>88I</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L6V</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>20210901</creationdate><title>An efficient reliability method for composite laminates with high-dimensional uncertainty variables</title><author>Shi, Benke ; Deng, Zhongmin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c288t-1ee93f3dde648fe804084b299a53e2ebba3ce41e32f6e085932103f3363dbd53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Analysis</topic><topic>Classical and Continuum Physics</topic><topic>Composite structures</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Engineering Fluid Dynamics</topic><topic>Engineering Thermodynamics</topic><topic>Finite element method</topic><topic>Heat and Mass Transfer</topic><topic>Laminated materials</topic><topic>Laminates</topic><topic>Methods</topic><topic>Original Paper</topic><topic>Random variables</topic><topic>Reliability analysis</topic><topic>Reliability engineering</topic><topic>Shear deformation</topic><topic>Solid Mechanics</topic><topic>Structural reliability</topic><topic>Theoretical and Applied Mechanics</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shi, Benke</creatorcontrib><creatorcontrib>Deng, Zhongmin</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>Acta mechanica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shi, Benke</au><au>Deng, Zhongmin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An efficient reliability method for composite laminates with high-dimensional uncertainty variables</atitle><jtitle>Acta mechanica</jtitle><stitle>Acta Mech</stitle><date>2021-09-01</date><risdate>2021</risdate><volume>232</volume><issue>9</issue><spage>3509</spage><epage>3527</epage><pages>3509-3527</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><abstract>This paper develops an efficient reliability analysis method for composite structures with high-dimensional uncertain variables. The concept and mathematical definition of the approximate design point (ADP) and the approximate important direction (AID) are introduced. A fast calculation ADP/AID formula is proposed. A numerical line sampling (LS) strategy is devised, which is further combined with ADP/AID to form a novel reliability method, named AID-LS. An equivalent criterion is introduced to address the problems with the non-normal random variables. A stochastic mechanical model of composite structures with geometrical nonlinearity is established based on first-order shear deformation theory and implemented with finite element analysis (FEA). Numerical examples are given to demonstrate the validity of the proposed method. The results show that the proposed method can significantly reduce the number of FEA samples in the reliability analysis of composite structures.</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00707-021-03008-2</doi><tpages>19</tpages></addata></record> |
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subjects | Analysis Classical and Continuum Physics Composite structures Control Dynamical Systems Engineering Engineering Fluid Dynamics Engineering Thermodynamics Finite element method Heat and Mass Transfer Laminated materials Laminates Methods Original Paper Random variables Reliability analysis Reliability engineering Shear deformation Solid Mechanics Structural reliability Theoretical and Applied Mechanics Vibration |
title | An efficient reliability method for composite laminates with high-dimensional uncertainty variables |
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