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Time domain finite element analysis of structures with fractional viscoelastic damping using time-diffusive scheme

Abstract : This work aims at simulating the time response of a structure damped by viscoelastic materials. The structure is discretised by finite elements and a 4-parameter fractional derivative model is used to describe the frequency-dependency of the mechanical properties of the viscoelastic material. The proposed approach combines a classical Newmark time-integration scheme to solve the semi-discretised equation of motion with a diffusive representation of fractional derivatives. This approach is applied to a finite element model, and validated on a single degree-of-freedom system for which an analytical solution can be derived.
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Submitted on : Wednesday, June 13, 2018 - 2:22:58 PM
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  • HAL Id : hal-01814693, version 1
  • OATAO : 19977

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Jean-François Deü, Lucie Rouleau, Denis Matignon. Time domain finite element analysis of structures with fractional viscoelastic damping using time-diffusive scheme. 2nd Euro-Mediterranean Conference on Structural Dynamics and Vibroacoustics (MEDYNA 2017), Apr 2017, Sevilla, Spain. pp. 130-133. ⟨hal-01814693⟩

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