Investigation of the Effect of Pre-Stressed on Vibration Frequency of Rectangular Nanoplate Based on a Visco-Pasternak Foundation
Publish place: Journal of Solid Mechanics، Vol: 6، Issue: 1
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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JR_JSMA-6-1_008
تاریخ نمایه سازی: 28 مرداد 1402
Abstract:
In the present work, the free vibration behavior of rectangular graphene sheet under shear in-plane load is studied. Nonlocal elasticity theory has been implemented to study the vibration analysis of orthotropic single-layered graphene sheets (SLGSs) subjected to shear in-plane load. The SLGSs is embedded on a viscoelastic medium which is simulated as a Visco-Pasternak foundation. Using the principle of virtual work, the governing equations are derived for the rectangular nanoplates. Differential quadrature method (DQM) is employed and numerical solutions for the vibration frequency are obtained. The influence of surrounding elastic medium, material property, aspect ratio, nonlocal parameter, length of nanoplate and effect of boundary conditions on the vibration analysis of orthotropic single-layered graphene sheets (SLGSs) is studied. Six boundary conditions are investigated. Numerical results show that the vibration frequencies of SLGSs are strongly dependent on the small scale coefficient and shear in-plane load. The present analysis results can be used for the design of the next generation of nanodevices that make use of the vibration properties of the graphene.
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Authors
M Goodarzi
Department of Mechanical Engineering, College of Engineering, Ahvaz Branch, Islamic Azad University
M Mohammadi
Department of Mechanical Engineering, College of Engineering, Ahvaz Branch, Islamic Azad University
A Farajpour
Young Researches and Elites Club, North Tehran Branch, Islamic Azad University,
M Khooran
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz
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