Transient response of rectangular plate on viscoelastic foundation under time-variable load based on fractional-order differential model

DOI10.1007/s00707-023-03658-4zbMath1527.74034MaRDI QIDQ6058600

Pengfei Song, Xiaoli Zhou, Pei-Jun Wei

Publication date: 1 November 2023

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Laplace transformMittag-Leffler functionforced vibrationmode shapenatural frequencyfree vibration

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Linear constitutive equations for materials with memory (74D05)

Cites Work

• On the free vibration response of rectangular plates, partially supported on elastic foundation
• On the transient response of plates on fractionally damped viscoelastic foundation
• Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type
• Theoretic solution of rectangular thin plate on foundation with four free edges by symplectic geometry method
• An analytical-numerical solution to assess the dynamic response of viscoelastic plates to a moving mass
• Dynamic response of an infinite beam and plate to a stochastic train of moving forces
• Dynamic Response of Kirchhoff Plate on a Viscoelastic Foundation to Harmonic Circular Loads
• Dynamics of Plate Generated by Moving Harmonic Loads
• Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials

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