 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12977 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4881 |
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| S. Hamzi, D. Ghali, I. Mechab, B. Mechab, and N. Elmeiche, "Quasi-3d Shear Deformation Theory for the Vibration Study of Viscoelastic FGM Nanoplates Resting on Visco Winkler-Pasternak Substrate Medium," Mech. Solids. 59 (5), 3108-3127 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
5 |
Pages |
3108-3127 |
| DOI |
10.1134/S0025654424604968 |
| Title |
Quasi-3d Shear Deformation Theory for the Vibration Study of Viscoelastic FGM Nanoplates Resting on Visco Winkler-Pasternak Substrate Medium |
| Author(s) |
S. Hamzi (Laboratory of sciences and water techniques, University Mustapha Stambouli of Mascara, Mascara, 29000 Algeria, ing.hamzi@yahoo.fr)
D. Ghali (Center of Research in Mechanics (CRM), Constantine, 25000 Algeria; Laboratory of Mechanical and Physics of Materials, University of Sidi Bel Abbes, Sidi Bel Abbes, 22000 Algeria, ghalidrici22@gmail.com)
I. Mechab (Laboratory of Mechanical and Physics of Materials, University of Sidi Bel Abbes, Sidi Bel Abbes, 22000 Algeria, ismail.mechab@gmail.com)
B. Mechab (Laboratory of Mechanical and Physics of Materials, University of Sidi Bel Abbes, Sidi Bel Abbes, 22000 Algeria, bmechab@yahoo.fr)
N. Elmeiche (Laboratory of civil and Environmental Engineering, University of Sidi Bel Abbes, Sidi Bel Abbes, 22000 Algeria, nouryel@hotmail.com) |
| Abstract |
This study provides an analysis of the free vibration of functionally graded nano-plates with
variable parameters resting on viscoelastic foundations using quasi three-dimensional shear deformation theory. The plate is assumed to be made of a functionally graded material with visco-elastic behavior resting on a visco-elastic foundation to reduce the vibration of the plate. The scaling effect is
induced by Erigin’s nonlocal model and Kelvin–Voigt’s visco-elastic behavior are applied to define
the equilibrium equations of the system. A new shear function is proposed to calculate the fundamental frequencies. A detailed parametric study is then carried out to examine the effects of non-local
parameters, the viscoelastic foundation and internal damping on the vibration characteristics of the visco-elastic nano-plates are also presented and discussed in detail. The present solutions are in good
agreement with those found in the literature. We note that the various parameters studied in this work have a significant effect on the durability of the structure. |
| Keywords |
3D plate model, non-local, viscoelasticity plate theory, Functionally Graded Materials (FGM), viscoelastic Winkler-Pasternak foundation |
| Received |
05 August 2024 | Revised |
20 October 2024 | Accepted |
23 October 2024 |
| Link to Fulltext |
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