Fractional visco-elastic Timoshenko beam deflection via single equation

DOI10.1002/nme.4956zbMath1352.74155OpenAlexW2128176725MaRDI QIDQ2952854

Antonina Pirrotta, Alberto Di Matteo, Stefano Cutrona, Salvatore Di Lorenzo

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4956

zbMATH Keywords

Mellin transformTimoshenko beamfractional calculusvisco-elastic beamGrunwald-Letnikov approximation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Linear constitutive equations for materials with memory (74D05) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (6)

Non-linear viscoelastic behavior of polymer melts interpreted by fractional viscoelastic model ⋮ On the application of fractional calculus for the formulation of viscoelastic Reddy beam ⋮ Random vibrations of stress-driven nonlocal beams with external damping ⋮ Generalized differential transform method for nonlinear boundary value problem of fractional order ⋮ Implicit analytic solutions for a nonlinear fractional partial differential beam equation ⋮ Fractional viscoelastic beam under torsion

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