Nonlinear positional formulation for space truss analysis
This paper presents a new geometric nonlinear formulation for static problems involving space trusses. Based on the finite element method (FEM), the proposed formulation uses nodal positions rather than nodal displacements to describe the problem. The strain is determined directly from the proposed...
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| Veröffentlicht in: | Finite elements in analysis and design 2006-08, Vol.42 (12), p.1079-1086 |
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| container_title | Finite elements in analysis and design |
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| creator | Greco, M. Gesualdo, F.A.R. Venturini, W.S. Coda, H.B. |
| description | This paper presents a new geometric nonlinear formulation for static problems involving space trusses. Based on the finite element method (FEM), the proposed formulation uses nodal positions rather than nodal displacements to describe the problem. The strain is determined directly from the proposed position concept, using a Cartesian coordinate system fixed in space. Bilinear constitutive hardening relations are considered here to model the elastoplastic effects, but any other constitutive model can be used. The proposed formulation is simple and yields good results, as shown in the example section. Four examples are presented here to validate the formulation. |
| doi_str_mv | 10.1016/j.finel.2006.04.007 |
| format | Article |
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Based on the finite element method (FEM), the proposed formulation uses nodal positions rather than nodal displacements to describe the problem. The strain is determined directly from the proposed position concept, using a Cartesian coordinate system fixed in space. Bilinear constitutive hardening relations are considered here to model the elastoplastic effects, but any other constitutive model can be used. The proposed formulation is simple and yields good results, as shown in the example section. Four examples are presented here to validate the formulation.</description><identifier>ISSN: 0168-874X</identifier><identifier>EISSN: 1872-6925</identifier><identifier>DOI: 10.1016/j.finel.2006.04.007</identifier><identifier>CODEN: FEADEU</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Cartesian coordinate system ; Computational techniques ; Design engineering ; Elastoplasticity ; Exact sciences and technology ; FEM ; Finite element method ; Finite-element and galerkin methods ; Fundamental areas of phenomenology (including applications) ; Inelasticity (thermoplasticity, viscoplasticity...) ; Mathematical analysis ; Mathematical methods in physics ; Mathematical models ; Nonlinear analysis ; Nonlinearity ; Physics ; Solid mechanics ; Space trusses ; Static elasticity (thermoelasticity...) ; Structural and continuum mechanics ; Trusses</subject><ispartof>Finite elements in analysis and design, 2006-08, Vol.42 (12), p.1079-1086</ispartof><rights>2006 Elsevier B.V.</rights><rights>2006 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c442t-57c8adc3e01c71444a75c10975bd8bdbf426cdee01e0a2820ef7219044644d7d3</citedby><cites>FETCH-LOGICAL-c442t-57c8adc3e01c71444a75c10975bd8bdbf426cdee01e0a2820ef7219044644d7d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0168874X06000722$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=17915471$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Greco, M.</creatorcontrib><creatorcontrib>Gesualdo, F.A.R.</creatorcontrib><creatorcontrib>Venturini, W.S.</creatorcontrib><creatorcontrib>Coda, H.B.</creatorcontrib><title>Nonlinear positional formulation for space truss analysis</title><title>Finite elements in analysis and design</title><description>This paper presents a new geometric nonlinear formulation for static problems involving space trusses. Based on the finite element method (FEM), the proposed formulation uses nodal positions rather than nodal displacements to describe the problem. The strain is determined directly from the proposed position concept, using a Cartesian coordinate system fixed in space. Bilinear constitutive hardening relations are considered here to model the elastoplastic effects, but any other constitutive model can be used. The proposed formulation is simple and yields good results, as shown in the example section. Four examples are presented here to validate the formulation.</description><subject>Cartesian coordinate system</subject><subject>Computational techniques</subject><subject>Design engineering</subject><subject>Elastoplasticity</subject><subject>Exact sciences and technology</subject><subject>FEM</subject><subject>Finite element method</subject><subject>Finite-element and galerkin methods</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Inelasticity (thermoplasticity, viscoplasticity...)</subject><subject>Mathematical analysis</subject><subject>Mathematical methods in physics</subject><subject>Mathematical models</subject><subject>Nonlinear analysis</subject><subject>Nonlinearity</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Space trusses</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural and continuum mechanics</subject><subject>Trusses</subject><issn>0168-874X</issn><issn>1872-6925</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhoMouK7-Ai-9KF5aJ9m0SQ8eZPELFr0oeAvZJIUs2bZmWsF_b-oueNvTzDDPOwMPIZcUCgq0ut0UjW9dKBhAVQAvAMQRmVEpWF7VrDwms0TJXAr-eUrOEDcAULKKz0j92rUhZXXM-g794LtWh6zp4nYMepqmPsNeG5cNcUTMdAJ-0OM5OWl0QHexr3Py8fjwvnzOV29PL8v7VW44Z0NeCiO1NQsH1AjKOdeiNBRqUa6tXNt1w1llrEtrB5pJBq4RjNbAecW5FXYxJ9e7u33svkaHg9p6NC4E3bpuRMVqXlEqygTeHAQpSEYlk7RK6GKHmtghRteoPvqtjj8JUpNRtVF_RtVkVAFXyWhKXe0faDQ6NFG3xuN_VNS05IIm7m7HuaTl27uo0HjXGmd9dGZQtvMH__wCV6-Mug</recordid><startdate>20060801</startdate><enddate>20060801</enddate><creator>Greco, M.</creator><creator>Gesualdo, F.A.R.</creator><creator>Venturini, W.S.</creator><creator>Coda, H.B.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20060801</creationdate><title>Nonlinear positional formulation for space truss analysis</title><author>Greco, M. ; 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| source | Elsevier ScienceDirect Journals |
| subjects | Cartesian coordinate system Computational techniques Design engineering Elastoplasticity Exact sciences and technology FEM Finite element method Finite-element and galerkin methods Fundamental areas of phenomenology (including applications) Inelasticity (thermoplasticity, viscoplasticity...) Mathematical analysis Mathematical methods in physics Mathematical models Nonlinear analysis Nonlinearity Physics Solid mechanics Space trusses Static elasticity (thermoelasticity...) Structural and continuum mechanics Trusses |
| title | Nonlinear positional formulation for space truss analysis |
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