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Article: A Unified Dimensionless Parameter for Finite Element Mesh for Beams Resting on Elastic Foundation

TitleA Unified Dimensionless Parameter for Finite Element Mesh for Beams Resting on Elastic Foundation
Authors
KeywordsBeam
cubic finite element
elastic foundation
finite element mesh
unified dimensionless parameter
Issue Date2020
PublisherTech Science Press. The Journal's web site is located at http://www.techscience.com/cmes/index.html
Citation
Computer Modeling in Engineering & Sciences, 2020, v. 122 n. 3, p. 955-969 How to Cite?
AbstractDiscretising a structure into elements is a key step in finite element (FE) analysis. The discretised geometry used toformulate an FE model can greatly affect accuracy and validity. This paper presents a unified dimensionless parameterto generate a mesh of cubic FEs for the analysis of very long beams resting on an elastic foundation. A uniform beamresting on elastic foundation with various values of flexural stiffness and elastic supporting coefficients subject to staticload and moving load is used to illustrate the application of the proposed parameter. The numerical results show that(a) Even if the values of the flexural stiffness of the beam and elastic supporting coefficient of the elastic foundation aredifferent, the same proposed parameter “s” can ensure the same accuracy of the FE solution, but the accuracy maydiffer for use of the same element length; (b) The proposed dimensionless parameter “s” can indeed be used as aunified index to generate the mesh for a beam resting on elastic foundation, whereas the use of the same elementlength as a criterion may be misleading; (c) The errors between the FE and analytical solutions for the maximumvertical displacement, shear force and bending moment of the beam increase with the dimensionless parameter “s”;and (d) For the given allowable errors for the vertical displacement, shear force and bending moment of the beamunder static load and moving load, the corresponding values of the proposed parameter are provided to guide themesh generation.
Persistent Identifierhttp://hdl.handle.net/10722/288447
ISSN
2019 Impact Factor: 0.805
2015 SCImago Journal Rankings: 0.858

 

DC FieldValueLanguage
dc.contributor.authorLou, P-
dc.contributor.authorZhang, X-
dc.contributor.authorAu, FTK-
dc.contributor.authorZhang, Z-
dc.contributor.authorHuang, Y-
dc.date.accessioned2020-10-05T12:13:03Z-
dc.date.available2020-10-05T12:13:03Z-
dc.date.issued2020-
dc.identifier.citationComputer Modeling in Engineering & Sciences, 2020, v. 122 n. 3, p. 955-969-
dc.identifier.issn1526-1492-
dc.identifier.urihttp://hdl.handle.net/10722/288447-
dc.description.abstractDiscretising a structure into elements is a key step in finite element (FE) analysis. The discretised geometry used toformulate an FE model can greatly affect accuracy and validity. This paper presents a unified dimensionless parameterto generate a mesh of cubic FEs for the analysis of very long beams resting on an elastic foundation. A uniform beamresting on elastic foundation with various values of flexural stiffness and elastic supporting coefficients subject to staticload and moving load is used to illustrate the application of the proposed parameter. The numerical results show that(a) Even if the values of the flexural stiffness of the beam and elastic supporting coefficient of the elastic foundation aredifferent, the same proposed parameter “s” can ensure the same accuracy of the FE solution, but the accuracy maydiffer for use of the same element length; (b) The proposed dimensionless parameter “s” can indeed be used as aunified index to generate the mesh for a beam resting on elastic foundation, whereas the use of the same elementlength as a criterion may be misleading; (c) The errors between the FE and analytical solutions for the maximumvertical displacement, shear force and bending moment of the beam increase with the dimensionless parameter “s”;and (d) For the given allowable errors for the vertical displacement, shear force and bending moment of the beamunder static load and moving load, the corresponding values of the proposed parameter are provided to guide themesh generation.-
dc.languageeng-
dc.publisherTech Science Press. The Journal's web site is located at http://www.techscience.com/cmes/index.html-
dc.relation.ispartofComputer Modeling in Engineering & Sciences-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectBeam-
dc.subjectcubic finite element-
dc.subjectelastic foundation-
dc.subjectfinite element mesh-
dc.subjectunified dimensionless parameter-
dc.titleA Unified Dimensionless Parameter for Finite Element Mesh for Beams Resting on Elastic Foundation-
dc.typeArticle-
dc.identifier.emailAu, FTK: francis.au@hku.hk-
dc.identifier.authorityAu, FTK=rp00083-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.32604/cmes.2020.08302-
dc.identifier.scopuseid_2-s2.0-85082240451-
dc.identifier.hkuros314641-
dc.identifier.volume122-
dc.identifier.issue3-
dc.identifier.spage955-
dc.identifier.epage969-
dc.publisher.placeUnited States-

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