Deü, Jean-Francois and Matignon, Denis A Numerical Scheme for Time-Domain FE Analysis of Viscoelastic Structures with Fractional Derivative Constitutive Equations. (2013) In: 4th international conference on Computational Methods in Structural Dynamics and Earthquake Engineering - CompDyn'13, 12 June 2013 - 14 June 2013 (Kos Island, Greece).
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Abstract
A 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 closed-form solution for a fractionnally damped single degree-of-freedom equation.
Item Type: | Conference or Workshop Item (Paper) |
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Audience (conference): | International conference proceedings |
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Institution: | Other partners > Conservatoire National des Arts et Métiers - CNAM (FRANCE) Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) |
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Statistics: | download |
Deposited On: | 06 May 2013 14:01 |
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