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Nonlinear dynamical model for hysteresis based on nonconvex potential energy / L. X. Wang in Journal of engineering mechanics, Vol. 133 N°5 (Mai 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°5 (Mai 2007) . - pp.506–513. Titre : Nonlinear dynamical model for hysteresis based on nonconvex potential energy Type de document : texte imprimé Auteurs : L. X. Wang, Auteur ; M. Willatzen, Auteur Année de publication : 2007 Article en page(s) : pp.506–513. Note générale : Applied mechanics Langues : Anglais (eng) Mots-clés : Hysteresis  Bifurcations  Damping  Dynamics  models  Energy Résumé : A model for hysteretic dynamics is proposed in the current paper. Hysteresis is treated as an input–output relation for a dynamic system. The Lagrangian of the dynamic system is constructed on the basis of a nonconvex potential energy and governing equations of the system dynamics are obtained using the Lagrangian equation. Bifurcations will be induced in the nonlinear dynamics due to the nonconvexity of the potential energy. It is shown that when the coefficients are chosen appropriately, the bifurcation diagram will lead to hysteretic behavior. Both the third- and fifth-order nonlinear terms are investigated and it is shown that the fifth-order nonlinearity is able to give a perfect prediction of experimental hysteretic behaviors. Hysteretic damping force of a magneto-rheological fluid damper and polarization hysteresis in piezoelectric materials are modeled successfully using the current model. The parameter identification for the model is also presented. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A5%2850 [...] [article] Nonlinear dynamical model for hysteresis based on nonconvex potential energy [texte imprimé] / L. X. Wang, Auteur ; M. Willatzen, Auteur . - 2007 . - pp.506–513. Applied mechanics Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°5 (Mai 2007) . - pp.506–513. Mots-clés : Hysteresis  Bifurcations  Damping  Dynamics  models  Energy Résumé : A model for hysteretic dynamics is proposed in the current paper. Hysteresis is treated as an input–output relation for a dynamic system. The Lagrangian of the dynamic system is constructed on the basis of a nonconvex potential energy and governing equations of the system dynamics are obtained using the Lagrangian equation. Bifurcations will be induced in the nonlinear dynamics due to the nonconvexity of the potential energy. It is shown that when the coefficients are chosen appropriately, the bifurcation diagram will lead to hysteretic behavior. Both the third- and fifth-order nonlinear terms are investigated and it is shown that the fifth-order nonlinearity is able to give a perfect prediction of experimental hysteretic behaviors. Hysteretic damping force of a magneto-rheological fluid damper and polarization hysteresis in piezoelectric materials are modeled successfully using the current model. The parameter identification for the model is also presented. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A5%2850 [...]