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Structural Engineering and Mechanics
  Volume 71, Number 3, August10 2019, pages 257-269

Mechanics of nonlocal advanced magneto-electro-viscoelastic plates
Farzad Ebrahimi, Mohammad Reza Barati and Francesco Tornabene

    This paper develops a nonlocal strain gradient plate model for damping vibration analysis of smart magneto-electro-viscoelastic nanoplates resting on visco-Pasternak medium. For more accurate analysis of nanoplate, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. Viscoelastic effect which is neglected in all previous papers on magneto-electro-viscoelastic nanoplates is considered based on Kelvin–Voigt model. Governing equations of a nonlocal strain gradient smart nanoplate on viscoelastic substrate are derived via Hamilton\'s principle. Galerkin\'s method is implemented to solve the governing equations. Effects of different factors such as viscoelasticity, nonlocal parameter, length scale parameter, applied voltage and magnetic potential on damping vibration characteristics of a nanoplate are studied.
Key Words
    magneto-electro-viscoelastic nanoplate; free vibration; classical plate theory; nonlocal strain gradient
Farzad Ebrahimi, Mohammad Reza Barati : Mechanical Engineering department, faculty of engineering, Imam Khomeini International University, Qazvin, Iran P.O.B. 34149-16818
Francesco Tornabene: Department of Civil, Chemical, Environmental, and Materials Engineering, University of Bologna, Bologna, Italy

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