A hybrid beam hysteretic element for inelastic analysis of plane frames

Koumousis, VK; Leontari, KG

dc.contributor.author	Koumousis, VK	en
dc.contributor.author	Leontari, KG	en
dc.date.accessioned	2014-03-01T02:51:54Z
dc.date.available	2014-03-01T02:51:54Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35743
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84859142160&partnerID=40&md5=fc9214eacf82d33756c5c89cc294c682	en
dc.subject	Bouc-wen model	en
dc.subject	Hybrid method	en
dc.subject	Hysteretic damping	en
dc.subject	Non-linear system identification	en
dc.subject.other	Beam elements	en
dc.subject.other	Bouc Wen model	en
dc.subject.other	Earthquake-resistant design	en
dc.subject.other	Efficient computation	en
dc.subject.other	Element level	en
dc.subject.other	Entire system	en
dc.subject.other	First-order differentials	en
dc.subject.other	Hybrid beam	en
dc.subject.other	Hybrid forms	en
dc.subject.other	Hybrid method	en
dc.subject.other	Hysteretic behaviour	en
dc.subject.other	Hysteretic damping	en
dc.subject.other	Incremental method	en
dc.subject.other	Inelastic analysis	en
dc.subject.other	Internal forces	en
dc.subject.other	Linear differential equation	en
dc.subject.other	Material non-linearity	en
dc.subject.other	Nodal displacement	en
dc.subject.other	Non-linear system identification	en
dc.subject.other	Numerical example	en
dc.subject.other	Runge-Kutta	en
dc.subject.other	State-space	en
dc.subject.other	Earthquake resistance	en
dc.subject.other	Equations of motion	en
dc.subject.other	Evolutionary algorithms	en
dc.subject.other	Runge Kutta methods	en
dc.subject.other	Stiffness	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Hysteresis	en
dc.title	A hybrid beam hysteretic element for inelastic analysis of plane frames	en
heal.type	conferenceItem	en
heal.publicationDate	2009	en
heal.abstract	A hybrid, smooth, hysteretic beam element is proposed based on Bouc-Wen model suitable for the inelastic analysis of plane frames. The actual hysteretic behaviour is addressed directly to express the overall behaviour of plane frames, which is of primal importance in earthquake resistant design of structures. Hysteretic forces are introduced at the element level and the equations of motion are deduced in hybrid form, where the elastic part is handled in terms of nodal displacements, while the inelastic in terms of unknown elemental internal forces. The element behaviour is cast in matrix form extending the formulation of direct stiffness method, by adding a hysteresis matrix first at the element and then at the structural level. This allows for a systematic formation of a set of linear differential equations of motion and the associated set of non-linear first-order differential evolution equations describing the hysteretic behaviour. The entire system is converted into a state-space form and the solution is determined using a Runge-Kutta integrator. In this formulation the linearity of equilibrium and compatibility requirements at the structural level is preserved, while the material non-linearity is treated at the element level for all the elements of the structure. Thus, linearization, which is inherent in the standard incremental method of FEM, is avoided leading to a more efficient computation and significantly fewer elements for the same accuracy of results. A numerical example is presented which is compared with an existing solution to illustrate the capabilities of the method. © CIMNE.	en
heal.journalName	Computational Plasticity X - Fundamentals and Applications	en