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dc.contributor.authorAndújar Moreno, Rabindranath
dc.contributor.authorRoset Calzada, Jaime
dc.contributor.authorKilar, Vojko
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física Aplicada
dc.date.accessioned2014-01-03T09:33:11Z
dc.date.available2014-01-03T09:33:11Z
dc.date.created2013
dc.date.issued2013
dc.identifier.citationAndújar, R.; Roset, J.; Kilar, V. Assessing numerical error in structural dynamics using energy. "Advances in mechanical engineering", 2013, p. 1-16.
dc.identifier.issn1687-8132
dc.identifier.urihttp://hdl.handle.net/2117/21140
dc.description.abstractThis work applies the variational principles of Lagrange and Hamilton to the assessment of numerical methods of linear structural analysis. Different numerical methods are used to simulate the behaviour of three structural configurations and benchmarked in their computation of the Lagrangian action integral over time. According to the principle of energy conservation, the difference at each time step between the kinetic and the strain energies must equal the work done by the external forces. By computing this difference, the degree of accuracy of each combination of numerical methods can be assessed. Moreover, it is often difficult to perceive numerical instabilities due to the inherent complexities of the modelled structures. By means of the proposed procedure, these complexities can be globally controlled and visualized in a straightforward way. The paper presents the variational principles to be considered for the collection and computation of the energy-related parameters (kinetic, strain, dissipative, and external work). It then introduces a systematic framework within which the numerical methods can be compared in a qualitative as well as in a quantitative manner. Finally, a series of numerical experiments is conducted using three simple 2D models subjected to the effect of four different dynamic loadings.
dc.format.extent16 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshMechanical engineering
dc.titleAssessing numerical error in structural dynamics using energy
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.contributor.groupUniversitat Politècnica de Catalunya. AIEM - Arquitectura, energia i medi ambient
dc.identifier.doi10.1155/2013/906120
dc.relation.publisherversionhttp://www.hindawi.com/journals/ame/2013/906120/
dc.rights.accessOpen Access
drac.iddocument12893203
dc.description.versionPostprint (published version)
upcommons.citation.authorAndújar, R.; Roset, J.; Kilar, V.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameAdvances in mechanical engineering
upcommons.citation.startingPage1
upcommons.citation.endingPage16


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Except where otherwise noted, content on this work is licensed under a Creative Commons license: Attribution-NonCommercial-NoDerivs 3.0 Spain