Asymptotic solutions of laminated composite shallow shells with various boundary conditions
The refined asymptotic theory developed recently is applied to three-dimensional analyses of laminated composite shallow shells with various boundary conditions. Problems of cross-ply doubly curved laminated shells subjected to transverse loads are considered. The edge conditions of the shell are su...
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Veröffentlicht in: | Acta mechanica 1999-01, Vol.132 (1-4), p.1-18 |
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description | The refined asymptotic theory developed recently is applied to three-dimensional analyses of laminated composite shallow shells with various boundary conditions. Problems of cross-ply doubly curved laminated shells subjected to transverse loads are considered. The edge conditions of the shell are such that one pair of the opposite edges is simply supported and the other may be combinations of free, clamped or simply supported edges. On the basis of the refined asymptotic formulation, a systematic and adaptive method is developed by means of separation of variables and a state-space approach, with which analytical solutions to the system of differential equations in the asymptotic theory are determined for laminated shells with various edge conditions. |
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Problems of cross-ply doubly curved laminated shells subjected to transverse loads are considered. The edge conditions of the shell are such that one pair of the opposite edges is simply supported and the other may be combinations of free, clamped or simply supported edges. On the basis of the refined asymptotic formulation, a systematic and adaptive method is developed by means of separation of variables and a state-space approach, with which analytical solutions to the system of differential equations in the asymptotic theory are determined for laminated shells with various edge conditions.</description><identifier>ISSN: 0001-5970</identifier><identifier>EISSN: 1619-6937</identifier><identifier>DOI: 10.1007/BF01186956</identifier><identifier>CODEN: AMHCAP</identifier><language>eng</language><publisher>Wien: Springer</publisher><subject>Boundary conditions ; Composite structures ; Differential equations ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Laminated composites ; Physics ; Solid mechanics ; State space methods ; Static elasticity ; Static elasticity (thermoelasticity...) ; Structural analysis ; Structural and continuum mechanics ; Structural loads</subject><ispartof>Acta mechanica, 1999-01, Vol.132 (1-4), p.1-18</ispartof><rights>1999 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c290t-57b0b83396d38de1fcddea56b3b09347cebf9c9a488af6ba60df3fcb575ff1ea3</citedby><cites>FETCH-LOGICAL-c290t-57b0b83396d38de1fcddea56b3b09347cebf9c9a488af6ba60df3fcb575ff1ea3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1598404$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>WU, C.-P</creatorcontrib><creatorcontrib>CHI, Y.-W</creatorcontrib><title>Asymptotic solutions of laminated composite shallow shells with various boundary conditions</title><title>Acta mechanica</title><description>The refined asymptotic theory developed recently is applied to three-dimensional analyses of laminated composite shallow shells with various boundary conditions. Problems of cross-ply doubly curved laminated shells subjected to transverse loads are considered. The edge conditions of the shell are such that one pair of the opposite edges is simply supported and the other may be combinations of free, clamped or simply supported edges. On the basis of the refined asymptotic formulation, a systematic and adaptive method is developed by means of separation of variables and a state-space approach, with which analytical solutions to the system of differential equations in the asymptotic theory are determined for laminated shells with various edge conditions.</description><subject>Boundary conditions</subject><subject>Composite structures</subject><subject>Differential equations</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Laminated composites</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>State space methods</subject><subject>Static elasticity</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural analysis</subject><subject>Structural and continuum mechanics</subject><subject>Structural loads</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1999</creationdate><recordtype>article</recordtype><recordid>eNpFkE1LAzEURYMoWKsbf0EWgiCMJs0kmSxrsSoU3OjKxZBPGslM6iRj6b832kJXlwfnXQ4XgGuM7jFC_OFxiTBumKDsBEwww6JigvBTMEEI4YoKjs7BRUpf5ZrxGk_A5zztuk2O2WuYYhizj32C0cEgO9_LbA3UsdvE5LOFaS1DiNuSNoQEtz6v4Y8cfBwTVHHsjRx2Be-N_6-5BGdOhmSvDjkFH8un98VLtXp7fl3MV5WeCZQryhVSDSGCGdIYi502xkrKFFFIkJprq5zQQtZNIx1TkiHjiNOKcuoctpJMwe2-dzPE79Gm3HY-6aIoe1vUWl6zGeGCkkLe7Uk9xJQG69rN4Lti3WLU_g3YHgcs8M2hViYtgxtkr306flDR1Kgmv9KOcsI</recordid><startdate>19990101</startdate><enddate>19990101</enddate><creator>WU, C.-P</creator><creator>CHI, Y.-W</creator><general>Springer</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TC</scope></search><sort><creationdate>19990101</creationdate><title>Asymptotic solutions of laminated composite shallow shells with various boundary conditions</title><author>WU, C.-P ; CHI, Y.-W</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c290t-57b0b83396d38de1fcddea56b3b09347cebf9c9a488af6ba60df3fcb575ff1ea3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1999</creationdate><topic>Boundary conditions</topic><topic>Composite structures</topic><topic>Differential equations</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Laminated composites</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>State space methods</topic><topic>Static elasticity</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Structural analysis</topic><topic>Structural and continuum mechanics</topic><topic>Structural loads</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>WU, C.-P</creatorcontrib><creatorcontrib>CHI, Y.-W</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical Engineering Abstracts</collection><jtitle>Acta mechanica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>WU, C.-P</au><au>CHI, Y.-W</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Asymptotic solutions of laminated composite shallow shells with various boundary conditions</atitle><jtitle>Acta mechanica</jtitle><date>1999-01-01</date><risdate>1999</risdate><volume>132</volume><issue>1-4</issue><spage>1</spage><epage>18</epage><pages>1-18</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><coden>AMHCAP</coden><abstract>The refined asymptotic theory developed recently is applied to three-dimensional analyses of laminated composite shallow shells with various boundary conditions. Problems of cross-ply doubly curved laminated shells subjected to transverse loads are considered. The edge conditions of the shell are such that one pair of the opposite edges is simply supported and the other may be combinations of free, clamped or simply supported edges. On the basis of the refined asymptotic formulation, a systematic and adaptive method is developed by means of separation of variables and a state-space approach, with which analytical solutions to the system of differential equations in the asymptotic theory are determined for laminated shells with various edge conditions.</abstract><cop>Wien</cop><cop>New York, NY</cop><pub>Springer</pub><doi>10.1007/BF01186956</doi><tpages>18</tpages></addata></record> |
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subjects | Boundary conditions Composite structures Differential equations Exact sciences and technology Fundamental areas of phenomenology (including applications) Laminated composites Physics Solid mechanics State space methods Static elasticity Static elasticity (thermoelasticity...) Structural analysis Structural and continuum mechanics Structural loads |
title | Asymptotic solutions of laminated composite shallow shells with various boundary conditions |
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