Small and large displacement dynamic analysis of frame structures based on hysteretic beam elements

Triantafyllou, S; Koumousis, V

dc.contributor.author	Triantafyllou, S	en
dc.contributor.author	Koumousis, V	en
dc.date.accessioned	2014-03-01T02:04:07Z
dc.date.available	2014-03-01T02:04:07Z
dc.date.issued	2011	en
dc.identifier.issn	07339399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29386
dc.subject	Bouc-Wen hysteretic models	en
dc.subject	Dynamic analysis of structures	en
dc.subject	Large displacement analysis	en
dc.subject	Material nonlinearities	en
dc.subject.other	Axial deformations	en
dc.subject.other	Beam elements	en
dc.subject.other	Bouc-Wen hysteretic model	en
dc.subject.other	Constant coefficients	en
dc.subject.other	Elastic beam	en
dc.subject.other	Elasto-plastic	en
dc.subject.other	Euler-Bernoulli	en
dc.subject.other	Evolution equations	en
dc.subject.other	Frame structure	en
dc.subject.other	Governing equations	en
dc.subject.other	Kinematic hardening	en
dc.subject.other	Large displacements	en
dc.subject.other	Linear Interpolation	en
dc.subject.other	Material nonlinearities	en
dc.subject.other	Non-linear dynamic analysis	en
dc.subject.other	Numerical results	en
dc.subject.other	Principle of virtual work	en
dc.subject.other	State-space	en
dc.subject.other	Stiffness equations	en
dc.subject.other	Control nonlinearities	en
dc.subject.other	Equations of motion	en
dc.subject.other	Hysteresis	en
dc.subject.other	Mechanics	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Numerical methods	en
dc.subject.other	Structural frames	en
dc.subject.other	Stiffness	en
dc.subject.other	curvature	en
dc.subject.other	deformation	en
dc.subject.other	dynamic analysis	en
dc.subject.other	elastoplasticity	en
dc.subject.other	hysteresis	en
dc.subject.other	interpolation	en
dc.subject.other	kinematics	en
dc.subject.other	numerical method	en
dc.subject.other	stiffness	en
dc.title	Small and large displacement dynamic analysis of frame structures based on hysteretic beam elements	en
heal.type	journalArticle	en
heal.identifier.primary	10.1061/(ASCE)EM.1943-7889.0000306	en
heal.identifier.secondary	http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000306	en
heal.publicationDate	2011	en
heal.abstract	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. © 2012 American Society of Civil Engineers.	en
heal.journalName	Journal of Engineering Mechanics	en
dc.identifier.doi	10.1061/(ASCE)EM.1943-7889.0000306	en
dc.identifier.volume	138	en
dc.identifier.issue	1	en
dc.identifier.spage	36	en
dc.identifier.epage	49	en