Vibration Analysis of Viscoelastic FGM Nanoscale Plate Resting on Viscoelastic Medium Using Higher-order Theory

Authors

  • Hamzi Souad
    Affiliation

    Laboratory of Sciences and Water Techniques (LSTE), Department of Civil Engineering, Faculty of Science and Technology, Mustapha Stambouli University of Mascara, Avenue Cheikh El Khaldi, 29000 Mascara, Algeria

  • Mechab Ismail
    Affiliation

    Laboratory of Mechanics and Physics of Materials (LMPM), Department of Mechanical Engineering, Faculty of Technology, Djilali Liabes University, BP89 Avenue ben M’hidi, 22000 Sidi Bel-Abbes, Algeria

  • Abbad Hichem
    Affiliation

    Civil and Environmental Engineering Laboratory (LGCE), Department of Civil Engineering and publics’ works, Faculty of Technology, Djilali Liabes University, BP89 Avenue ben M’hidi, 22000 Sidi Bel-Abbes, Algeria

  • Elmeiche Noureddine
    Affiliation

    Civil and Environmental Engineering Laboratory (LGCE), Department of Civil Engineering and publics’ works, Faculty of Technology, Djilali Liabes University, BP89 Avenue ben M’hidi, 22000 Sidi Bel-Abbes, Algeria

https://doi.org/10.3311/PPci.16010

Abstract

The present article aims essentially to present an analytical and numerical method which makes it possible to study the damped vibrations of viscoelastic FGM nanoplates resting on viscoelastic foundations. A new model for the higher-order shear deformation plate theory is coupled with the internal Kelvin - Voigt viscoelastic model and the three-parameter viscoelastic foundation model for the purpose of reducing and minimizing the vibration response of the system. It is widely admitted that the mechanical properties of these new functionally gradient materials (FGMs) vary according to the thickness of the plate and depend on its volume fraction. The use of FGM plates seems to be an ideal solution for the study of free vibrations because of their multifunctionality that is fully integrated with the nonlocal Eringen effect. The dynamic response of such a complex system has been investigated by varying the aspect ratio of the plate, the mechanical characteristics of the material used, the internal and external damping and the foundation rigidity. The results obtained, with and without the nonlocal effect, were compared with those of different models of higher-order theories and under various boundary conditions; they were found to be in good agreement with those reported in the literature.

Keywords:

higher-order plate theory, FGM materials, viscoelasticity, nonlocal theory, Winkler-Pasternak viscoelastic foundation

Published Online

2020-11-05

How to Cite

Souad, H., Ismail, M., Hichem, A., Noureddine, E. “Vibration Analysis of Viscoelastic FGM Nanoscale Plate Resting on Viscoelastic Medium Using Higher-order Theory”, Periodica Polytechnica Civil Engineering, 65(1), pp. 255–275, 2021. https://doi.org/10.3311/PPci.16010

Issue

Section

Research Article