On the transient response of plates on fractionally damped viscoelastic foundation

DOI10.1007/S40314-020-01285-6zbMath1474.74108OpenAlexW3081962938MaRDI QIDQ827344

N. E. Zubov

Publication date: 7 January 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01285-6

zbMATH Keywords

viscoelastic foundationfractional dampingplate vibrationstep loadfractional viscoelasticity

Mathematics Subject Classification ID

Plates (74K20) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05) Applications of fractional calculus in solid mechanics (74S40)

Related Items (4)

Transient response of rectangular plate on viscoelastic foundation under time-variable load based on fractional-order differential model ⋮ Dynamic behavior of nanoplate on viscoelastic foundation based on spatial-temporal fractional order viscoelasticity and thermoelasticity ⋮ Moving point load on a beam with viscoelastic foundation containing fractional derivatives of complex order ⋮ An effective analytical method for buckling solutions of a restrained FGM nonlocal beam

Uses Software

• ANSYS
• ma2dfc

Cites Work

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• On the behavior of a three-dimensional fractional viscoelastic constitutive model
• Numerical evaluation of high-order modes of vibration in uniform Euler–Bernoulli beams
• Dynamic Response of Kirchhoff Plate on a Viscoelastic Foundation to Harmonic Circular Loads
• Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials
• A variable order constitutive relation for viscoelasticity
• Static and dynamic analyses of Mindlin plates resting on viscoelastic foundation by using moving element method

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