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Steel and Composite Structures
  Volume 50, Number 4, February 25 2024 , pages 429-441
DOI: https://doi.org/10.12989/scs.2024.50.4.429
 


Free vibration analysis of trapezoidal Double Layered plates embedded with viscoelastic medium for general boundary conditions using differential quadrature method
S. Abdul Ameer, Abbas Hameed Abdul Hussein, Mohammed H. Mahdi, Fahmy Gad Elsaid and V. Tahouneh

 
Abstract
    This paper studies the free vibration behavior of trapezoidal shaped coupled double-layered graphene sheets (DLGS) system using first-order shear deformation theory (FSDT) and incorporating nonlocal elasticity theory. Two nanoplates are assumed to be bonded by an interlayer van der walls force and surrounded by an external kelvin-voight viscoelastic medium. The governing equations together with related boundary condition are discretized using a mapping-differential quadrature method (DQM) in the spatial domain. Then the natural frequency of the system is obtained by solving the eigen value matrix equation. The validity of the current study is evaluated by comparing its numerical results with those available in the literature and then a parametric study is thoroughly performed, concentrating on the series effects of angles and aspect ratio of GS, viscoelastic medium, and nonlocal parameter. The model is used to study the vibration of DLGS for two typical deformation modes, the in-phase and out-of-phase vibrations, which are investigated. Numerical results indicate that due to Increasing the damping parameter of the viscoelastic medium has reduced the frequency of both modes and this medium has been able to overdamped the oscillations and by increasing stiffness parameters both in-phase and out-of-phase vibration frequencies increased.
 
Key Words
    DLGS; free vibration; general boundary conditions; trapezoidal plate; viscoelastic medium
 
Address
S. Abdul Ameer:Department of Automobile Engineering College of Engineering/Al-Musayab University of Babylon, Iraq

Abbas Hameed Abdul Hussein:Ahl Al Bayt University Kerbala, Iraq

Mohammed H. Mahdi:College of pharmacy, Ahl Al Bayt University Kerbala, Iraq

Fahmy Gad Elsaid:Biology Department, College of Science, King Khalid University, Asir, Abha, Al-Faraa, P.O. Box: 960-Postal Code: 61421, Saudi Arabia

V. Tahouneh:School of Mechanical Engineering, University of Tehran, Tehran, Iran
 

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