000015850 001__ 15850
000015850 005__ 20161115135331.0
000015850 04107 $$aeng
000015850 046__ $$k2013-06-12
000015850 100__ $$aDeu, J.
000015850 24500 $$aA Numerical Scheme for Time-Domain FE Analysis of Viscoelastic Structures With Fractional Derivative Constitutive Equations

000015850 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015850 260__ $$bNational Technical University of Athens, 2013
000015850 506__ $$arestricted
000015850 520__ $$2eng$$aA numerical scheme is presented for time-domain simulations of structural dynamic problems with viscoelastic materials described by fractional derivative constitutive equations. The proposed approach combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for example after finite element discretization), with a diffusive representation based on the transformation of the fractional operator into a system of linear differential equations. The focus is given on the general formulation of the problem, the algorithm implementation into a finite element framework, and the developpement of a closedform solution for a fractionnally damped single degree-of-freedom equation.

000015850 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015850 653__ $$aFractional derivative, Diffusive representation, Viscoelasticity, Structural dynamics, Damping, Finite element method.

000015850 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015850 720__ $$aDeu, J.$$iMatignon, D.
000015850 8560_ $$ffischerc@itam.cas.cz
000015850 8564_ $$s192381$$uhttps://invenio.itam.cas.cz/record/15850/files/1554.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-RS 13 NUMERICAL METHODS FOR LINEAR AND NONLINEAR DYNAMICS
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000015850 962__ $$r15525
000015850 980__ $$aPAPER