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Dynamic analysis of frame structures with free viscoelastic layers: New closed-form solutions of eigenvalues and a viscous approach

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Dynamic analysis of frame structures with free viscoelastic layers: New closed-form solutions of eigenvalues and a viscous approach

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dc.contributor.author Lázaro, Mario es_ES
dc.contributor.author Pérez-Aparicio, José L. es_ES
dc.date.accessioned 2016-12-12T11:36:30Z
dc.date.available 2016-12-12T11:36:30Z
dc.date.issued 2013
dc.identifier.issn 0141-0296
dc.identifier.uri http://hdl.handle.net/10251/75110
dc.description.abstract Materials of viscoelastic nature are of great importance for damping and vibration control in the civil engineering, automotive and aircraft fields. The frequency dependence of their mechanical properties results in integral differential equations of motion in the time domain along with a nonlinear eigenvalue problem in the frequency domain. The main challenge of this paper is to develop closed-form expressions for the eigenvalues of framed general structures with bonded unconstrained viscoelastic layers, whose constitutive relations are based on the fractional derivative. The developed expressions allow us to obtain an equivalent viscous model which dynamic matrices explicitly depend on the viscoelastic damping parameters. Then, the time response problem solution is reduced to a simpler system of second order linear differential equations decoupled in the modal space of the undamped problem. The proposed methodology is validated by two numerical examples, a cantilever bean and a frame. Very good agreement is found between the proposed and exact (from other iterative methods) eigenvalues and transfer functions for a wide range of viscoelastic materials. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Engineering Structures es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Viscoelastic layers es_ES
dc.subject Fractional derivatives es_ES
dc.subject Frequency response function es_ES
dc.subject Viscous approach es_ES
dc.subject Frame structures es_ES
dc.subject Finite elements es_ES
dc.subject.classification MECANICA DE LOS MEDIOS CONTINUOS Y TEORIA DE ESTRUCTURAS es_ES
dc.subject.classification INGENIERIA AEROESPACIAL es_ES
dc.title Dynamic analysis of frame structures with free viscoelastic layers: New closed-form solutions of eigenvalues and a viscous approach es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.engstruct.2013.03.052
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny es_ES
dc.description.bibliographicCitation Lázaro, M.; Pérez-Aparicio, JL. (2013). Dynamic analysis of frame structures with free viscoelastic layers: New closed-form solutions of eigenvalues and a viscous approach. Engineering Structures. 54:69-81. doi:10.1016/j.engstruct.2013.03.052 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.engstruct.2013.03.052 es_ES
dc.description.upvformatpinicio 69 es_ES
dc.description.upvformatpfin 81 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 54 es_ES
dc.relation.senia 245412 es_ES


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