Produção Nacional
Revisado por pares
A stabilized central difference scheme for dynamic analysis
2015; Wiley; Volume: 102; Issue: 11 Linguagem: Inglês
10.1002/nme.4869
ISSN1097-0207
AutoresGeorg Großeholz, Delfim Soares, Otto von Estorff,
Tópico(s)Differential Equations and Numerical Methods
ResumoInternational Journal for Numerical Methods in EngineeringVolume 102, Issue 11 p. 1750-1760 Research Article A stabilized central difference scheme for dynamic analysis Georg Großeholz, Corresponding Author Georg Großeholz Institute of Modelling and Computation, Hamburg University of Technology, Hamburg, 21073 Germany Correspondence to: Georg Großeholz, Institute of Modelling and Computation, Hamburg University of Technology, 21073 Hamburg, Germany. E-mail: grosseholz@tuhh.deSearch for more papers by this authorDelfim Soares Jr., Delfim Soares Jr. Structural Engineering Department, Federal University of Juiz de Fora, Juiz de Fora, MG, BrazilSearch for more papers by this authorOtto von Estorff, Otto von Estorff Institute of Modelling and Computation, Hamburg University of Technology, Hamburg, 21073 GermanySearch for more papers by this author Georg Großeholz, Corresponding Author Georg Großeholz Institute of Modelling and Computation, Hamburg University of Technology, Hamburg, 21073 Germany Correspondence to: Georg Großeholz, Institute of Modelling and Computation, Hamburg University of Technology, 21073 Hamburg, Germany. E-mail: grosseholz@tuhh.deSearch for more papers by this authorDelfim Soares Jr., Delfim Soares Jr. Structural Engineering Department, Federal University of Juiz de Fora, Juiz de Fora, MG, BrazilSearch for more papers by this authorOtto von Estorff, Otto von Estorff Institute of Modelling and Computation, Hamburg University of Technology, Hamburg, 21073 GermanySearch for more papers by this author First published: 28 January 2015 https://doi.org/10.1002/nme.4869Citations: 20Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Summary In this work, a new, unconditionally stable, time marching procedure for dynamic analyses is presented. The scheme is derived from the standard central difference approximation, with stabilization being provided by a consistent perturbation of the original problem. Because the method only involves constitutive variables that are already available from computations at previous time steps, iterative procedures are not required to establish equilibrium when nonlinear models are focused, allowing more efficient analyses to be obtained. The theoretical properties of the proposed scheme are discussed taking into account standard stability and accuracy analyses, indicating the excellent performance of the new technique. At the end of the contribution, representative nonlinear numerical examples are studied, further illustrating the effectiveness of the new technique. Numerical results obtained by the standard central difference procedure and the implicit constant average acceleration method are also presented along the text for comparison. Copyright © 2015 John Wiley & Sons, Ltd. Citing Literature Volume102, Issue1115 June 2015Pages 1750-1760 RelatedInformation
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