Finite element formulation of viscoelastic sandwich beams using fractional derivative operators
From MaRDI portal
Publication:1875876
DOI10.1007/s00466-003-0529-xzbMath1067.74065OpenAlexW2069165340WikidataQ118347391 ScholiaQ118347391MaRDI QIDQ1875876
A. C. Galucio, Jean-François Deü, Roger Ohayon
Publication date: 31 August 2004
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-003-0529-x
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Fractional derivatives and integrals (26A33)
Related Items (37)
A numerical method for solving fractional-order viscoelastic Euler-Bernoulli beams ⋮ Dynamic characteristics of multilayered beams with viscoelastic layers described by the fractional Zener model ⋮ An adaptation of the Gear scheme for fractional derivatives ⋮ Modeling and analysis of the transient response of viscoelastic solids ⋮ Nonlinear harmonically excited vibrations of plates with Zener material ⋮ A pair of van der Pol oscillators coupled by fractional derivatives ⋮ A comparison between different approaches for modelling media with viscoelastic properties via optimization analyses ⋮ Nonlinear steady state vibrations of beams made of the fractional Zener material using an exponential version of the harmonic balance method ⋮ Stability analysis of viscoelastic pipes conveying fluid with different boundary conditions described by fractional Zener model ⋮ Stress analyses of viscoelastic three-dimensional beam-like structures with low- and high-order one-dimensional finite elements ⋮ A Mellin transform approach to wavelet analysis ⋮ The finite element method for fractional non-local thermal energy transfer in non-homogeneous rigid conductors ⋮ Steady-state non-linear vibrations of plates using Zener material model with fractional derivative ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ Post-buckling analysis of viscoelastic plates with fractional derivative models ⋮ Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak's elastic foundations ⋮ Three-layered damped beam element for forced vibration analysis of symmetric sandwich structures with a viscoelastic core ⋮ Analysis of inhomogeneous anisotropic viscoelastic bodies described by multi-parameter fractional differential constitutive models ⋮ Stochastic P-bifurcation of a bistable viscoelastic beam with fractional constitutive relation under Gaussian white noise ⋮ Wave propagation in a fractional viscoelastic Andrade medium: diffusive approximation and numerical modeling ⋮ STOCHASTIC HOPF BIFURCATION OF QUASI-INTEGRABLE HAMILTONIAN SYSTEMS WITH FRACTIONAL DERIVATIVE DAMPING ⋮ Response of non-linear oscillator driven by fractional derivative term under Gaussian white noise ⋮ Comparing numerical methods for solving time-fractional reaction-diffusion equations ⋮ Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme ⋮ Hybrid Active—passive Damping Treatment of Sandwich Beams in Non-linear Dynamics ⋮ Dynamic analyses of viscoelastic three-dimensional structures with advanced one-dimensional finite elements ⋮ High-order layerwise finite element for the damped free-vibration response of thick composite and sandwich composite plates ⋮ Nonlinear quasi‐static finite element formulations for viscoelastic Euler–Bernoulli and Timoshenko beams ⋮ Vibrations of inhomogeneous anisotropic viscoelastic bodies described with fractional derivative models ⋮ A discrete convolutional Hilbert transform with the consistent imaginary initial conditions for the time-domain analysis of five-layered viscoelastic sandwich beam ⋮ Homogenised finite element for transient dynamic analysis of unconstrained layer damping beams involving fractional derivative models ⋮ Simulation of a viscoelastic flexible multibody system using absolute nodal coordinate and fractional derivative methods ⋮ The Gα -scheme for Approximation of Fractional Derivatives: Application to the Dynamics of Dissipative Systems ⋮ Active damping of geometrically nonlinear vibrations of smart composite plates using elliptical SCLD treatment with fractional derivative viscoelastic layer ⋮ Dynamic frictional contact of a viscoelastic beam ⋮ The enriched degree of freedom method for the absorbing boundary and its application to XFEM in elastodynamic problems ⋮ Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer
This page was built for publication: Finite element formulation of viscoelastic sandwich beams using fractional derivative operators
