Published in: فصلنامه مکانیک جامد، دوره: 8، شماره: 4
COI code: JR_JSMA-8-4_009
Paper Language: English
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Authors Thermo-Mechanical Vibration Analysis of FG Circular and Annular Nanoplate Based on the Visco-Pasternak FoundationM Goodarzi - Department of Engineering, College of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
M Mohammadi - Department of Engineering, College of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
M Khooran - Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Iran
F Saadi - Department of Engineering, College of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
Abstract:In this study, the vibration behavior of functional graded (FG) circular and annular nanoplate embedded in a Visco-Pasternak foundation and coupled with temperature change is studied. The effect of in-plane pre-load and temperature change are investigated on the vibration frequencies of FG circular and annular nanoplate. To obtain the vibration frequencies of the FG circular and annular nanoplate, two different size dependent theories are utilized. The material properties of the FGM nanoplates are assumed to vary in the thickness direction and are estimated through the Mori–Tanaka homogenization technique. The FG circular and annular nanoplate is coupled by an enclosing viscoelastic medium which is simulated as a Visco- Pasternak foundation. By using the modified strain gradient theory (MSGT) and the modified couple stress theory (MCST), the governing equation is derived for FG circular and annular nanoplate. The differential quadrature method (DQM) and the Galerkin method (GM) are utilized to solve the governing equation to obtain the frequency vibration of FG circular and annular nanoplate. The results are subsequently compared with valid result reported in the literature. The effects of the size dependent, the in-plane pre-load, the temperature change, the power index parameter, the elastic medium and the boundary conditions on the natural frequencies are investigated. The results show that the size dependent parameter has an increasing effect on the vibration response of circular and annular nanoplate. The temperature change also play an important role in the mechanical behavior of the FG circular and annular nanoplate. The present analysis results can be used for the design of the next generation of nanodevices that make use of the thermal vibration properties of the nanoplate
Keywords:Circular and annular nanoplate, Functional graded nanoplate, Modified strain gradient theory, Modified couple stress theory
COI code: JR_JSMA-8-4_009
how to cite to this paper:If you want to refer to this article in your research, you can easily use the following in the resources and references section:
Goodarzi, M; M Mohammadi; M Khooran & F Saadi, 2016, Thermo-Mechanical Vibration Analysis of FG Circular and Annular Nanoplate Based on the Visco-Pasternak Foundation, Journal of Solid Mechanics 8 (4), https://www.civilica.com/Paper-JR_JSMA-JR_JSMA-8-4_009.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Goodarzi, M; M Mohammadi; M Khooran & F Saadi, 2016)
Second and more: (Goodarzi; Mohammadi; Khooran & Saadi, 2016)
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Type: Azad University
Paper No.: 10278
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