Nonlinear vibration of fractional Kelvin-Voigt viscoelastic beam on nonlinear elastic foundation

DOI10.1016/j.cnsns.2021.105784zbMath1464.74065OpenAlexW3135409488MaRDI QIDQ2025505

Mohammad Rahmanian, Masoud Javadi

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105784

zbMATH Keywords

Euler-Bernoulli beamHamilton principlemultiple scale methodGalerkin projection method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear constitutive equations for materials with memory (74D05)

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Cites Work

• Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation
• Analysis of inhomogeneous anisotropic viscoelastic bodies described by multi-parameter fractional differential constitutive models
• Implicit analytic solutions for the linear stochastic partial differential beam equation with fractional derivative terms
• Fractional viscoelastic beam under torsion
• A numerical method for solving fractional-order viscoelastic Euler-Bernoulli beams
• Geometrically nonlinear vibrations of beams supported by a nonlinear elastic foundation with variable discontinuity
• Vibrational subharmonic and superharmonic resonances
• Implicit analytic solutions for a nonlinear fractional partial differential beam equation
• Comparing the direct normal form and multiple scales methods through frequency detuning
• Nonlinear dynamic analysis of viscoelastic beams using a fractional rheological model
• Effects of Locally Distributed Kelvin–Voigt Damping on Parametric Instability of Timoshenko Beams
• Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials
• Vibration Damping, Control, and Design

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