Closed-Form Solution of a Peripherally Fixed Circular Membrane under Uniformly Distributed Transverse Loads and Deflection Restrictions
The problem of axisymmetric deformation of a peripherally fixed and uniformly loaded circular membrane under deflection restrictions (by a frictionless horizontal rigid plate) was analytically solved, where the assumption of constant membrane stress adopted in the existing work was given up, and a c...
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| Veröffentlicht in: | Mathematical problems in engineering 2018-01, Vol.2018 (2018), p.1-9 |
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| container_title | Mathematical problems in engineering |
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| creator | Wang, Teng-fei Li, Yang-hui He, Xiao-ting |
| description | The problem of axisymmetric deformation of a peripherally fixed and uniformly loaded circular membrane under deflection restrictions (by a frictionless horizontal rigid plate) was analytically solved, where the assumption of constant membrane stress adopted in the existing work was given up, and a closed-form solution of this problem was presented for the first time. The numerical analysis shows that the closed-form solution presented here has higher calculation accuracy than the existing approximate solution. |
| doi_str_mv | 10.1155/2018/5989010 |
| format | Article |
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The numerical analysis shows that the closed-form solution presented here has higher calculation accuracy than the existing approximate solution.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2018/5989010</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Axial strain ; Closed form solutions ; Deflection ; Economic models ; Equilibrium ; Exact solutions ; Load distribution (forces) ; Mathematical analysis ; Mathematical problems ; Mechanics ; Numerical analysis ; Stress concentration ; Transverse loads</subject><ispartof>Mathematical problems in engineering, 2018-01, Vol.2018 (2018), p.1-9</ispartof><rights>Copyright © 2018 Teng-fei Wang et al.</rights><rights>Copyright © 2018 Teng-fei Wang et al.; This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-5d9b12889234948c400d55a3d159f7ae859926a57cc9f8f58bea1b299b2ac3733</citedby><cites>FETCH-LOGICAL-c360t-5d9b12889234948c400d55a3d159f7ae859926a57cc9f8f58bea1b299b2ac3733</cites><orcidid>0000-0002-1076-6363 ; 0000-0003-3833-8245 ; 0000-0002-8880-3961</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><contributor>Greco, Fabrizio</contributor><contributor>Fabrizio Greco</contributor><creatorcontrib>Wang, Teng-fei</creatorcontrib><creatorcontrib>Li, Yang-hui</creatorcontrib><creatorcontrib>He, Xiao-ting</creatorcontrib><title>Closed-Form Solution of a Peripherally Fixed Circular Membrane under Uniformly Distributed Transverse Loads and Deflection Restrictions</title><title>Mathematical problems in engineering</title><description>The problem of axisymmetric deformation of a peripherally fixed and uniformly loaded circular membrane under deflection restrictions (by a frictionless horizontal rigid plate) was analytically solved, where the assumption of constant membrane stress adopted in the existing work was given up, and a closed-form solution of this problem was presented for the first time. The numerical analysis shows that the closed-form solution presented here has higher calculation accuracy than the existing approximate solution.</description><subject>Axial strain</subject><subject>Closed form solutions</subject><subject>Deflection</subject><subject>Economic models</subject><subject>Equilibrium</subject><subject>Exact solutions</subject><subject>Load distribution (forces)</subject><subject>Mathematical analysis</subject><subject>Mathematical problems</subject><subject>Mechanics</subject><subject>Numerical analysis</subject><subject>Stress concentration</subject><subject>Transverse loads</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0E1LAzEQBuBFFKzVm2cJeNS1-dhsk6O0VoWKoi14W7KbCU3ZbmrSVfsL_NumH-DR08zh4Z3hTZJzgm8I4bxHMRE9LoXEBB8kHcJzlnKS9Q_jjmmWEsrej5OTEOYYU8KJ6CQ_g9oF0OnI-QV6c3W7sq5BziCFXsDb5Qy8qus1Gtlv0GhgfdXWyqMnWJReNYDaRoNH08aaGBDd0IaVt2W7inoSRfgEHwCNndIBqUajIZgaqu2VV9jY7R5OkyOj6gBn-9lNpqO7yeAhHT_fPw5ux2nFcrxKuZYloUJIyjKZiSrDWHOumCZcmr4CwaWkueL9qpJGGC5KUKSkUpZUVazPWDe53OUuvfto4wPF3LW-iScLirNYYk6FjOp6pyrvQvBgiqW3C-XXBcHFpupiU3Wxrzryqx2f2UarL_ufvthpiAaM-tMUC5Jj9gu5DIld</recordid><startdate>20180101</startdate><enddate>20180101</enddate><creator>Wang, Teng-fei</creator><creator>Li, Yang-hui</creator><creator>He, Xiao-ting</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0002-1076-6363</orcidid><orcidid>https://orcid.org/0000-0003-3833-8245</orcidid><orcidid>https://orcid.org/0000-0002-8880-3961</orcidid></search><sort><creationdate>20180101</creationdate><title>Closed-Form Solution of a Peripherally Fixed Circular Membrane under Uniformly Distributed Transverse Loads and Deflection Restrictions</title><author>Wang, Teng-fei ; 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| source | EZB-FREE-00999 freely available EZB journals; Wiley Online Library (Open Access Collection); Alma/SFX Local Collection |
| subjects | Axial strain Closed form solutions Deflection Economic models Equilibrium Exact solutions Load distribution (forces) Mathematical analysis Mathematical problems Mechanics Numerical analysis Stress concentration Transverse loads |
| title | Closed-Form Solution of a Peripherally Fixed Circular Membrane under Uniformly Distributed Transverse Loads and Deflection Restrictions |
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