Relationship between nonlinear free vibration behavior and nonlinear forced vibration behavior of viscoelastic plates

DOI10.1016/j.cnsns.2022.106926OpenAlexW4303437223MaRDI QIDQ2108672

Jin-xi Liu, Chang-Song Zhu, Xue-Qian Fang

Publication date: 20 December 2022

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.2022.106926

zbMATH Keywords

Runge-Kutta methodharmonic balance methodHamilton principleKelvin-Voigt viscoelastic modelReddy higher-order shear deformation theory

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Linear constitutive equations for materials with memory (74D05) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (3)

Improved composite implicit time integration method for dynamic analysis of viscoelastic damping systems ⋮ Asymptotic stability for solutions of a coupled system of quasi-linear viscoelastic Kirchhoff plate equations ⋮ Nonlinear vibration characteristic of FGM sandwich cylindrical panel with auxetic core subjected to the temperature gradient

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