Small and large displacement dynamic analysis of frame structures based on hysteretic beam elements / S. Triantafyllou in Journal of engineering mechanics, Vol. 138 N° 1 (Janvier 2012)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 138 N° 1 (Janvier 2012) . - pp.36-49 Titre : Small and large displacement dynamic analysis of frame structures based on hysteretic beam elements Type de document : texte imprimé Auteurs : S. Triantafyllou, Auteur ; V. Koumousis, Auteur Année de publication : 2012 Article en page(s) : pp.36-49 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Bouc-Wen hysteretic models Material nonlinearities Large displacement analysis Dynamic of structures Résumé : In this work, a beam element is proposed for the nonlinear dynamic analysis of frame structures. The classical Euler-Bernoulli formulation for the elastic beam is extended by implicitly defining new hysteretic degrees of freedom, subjected to evolution equations of the Bouc-Wen type with kinematic hardening. A linear interpolation field is employed for these new degrees of freedom, which are regarded as hysteretic curvatures and hysteretic axial deformations. By means of the principle of virtual work, an elastoplastic hysteretic stiffness relation is derived, which together with the hysteretic evolution equations fully describes the behavior of the element. The elemental stiffness equations are assembled to form a system of linear global equations of motion that also depend on the introduced hysteretic variables. The solution is obtained by simultaneously solving the entire set of governing equations, namely the linear global equations of motion with constant coefficient matrices, and the nonlinear local constitutive equations for every element converted into a state-space form. Numerical results are presented to demonstrate the efficiency of the method as compared to existing methods. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000306 [article] Small and large displacement dynamic analysis of frame structures based on hysteretic beam elements [texte imprimé] / S. Triantafyllou, Auteur ; V. Koumousis, Auteur . - 2012 . - pp.36-49. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 1 (Janvier 2012) . - pp.36-49 Mots-clés : Bouc-Wen hysteretic models Material nonlinearities Large displacement analysis Dynamic of structures Résumé : In this work, a beam element is proposed for the nonlinear dynamic analysis of frame structures. The classical Euler-Bernoulli formulation for the elastic beam is extended by implicitly defining new hysteretic degrees of freedom, subjected to evolution equations of the Bouc-Wen type with kinematic hardening. A linear interpolation field is employed for these new degrees of freedom, which are regarded as hysteretic curvatures and hysteretic axial deformations. By means of the principle of virtual work, an elastoplastic hysteretic stiffness relation is derived, which together with the hysteretic evolution equations fully describes the behavior of the element. The elemental stiffness equations are assembled to form a system of linear global equations of motion that also depend on the introduced hysteretic variables. The solution is obtained by simultaneously solving the entire set of governing equations, namely the linear global equations of motion with constant coefficient matrices, and the nonlinear local constitutive equations for every element converted into a state-space form. Numerical results are presented to demonstrate the efficiency of the method as compared to existing methods. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000306

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