Magneto-Thermo mechanical vibration analysis of FG nanoplate embedded on Visco Pasternak foundation

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MORADI ABBAS; YAGHOOTIAN AMIN; JALALVAND MEHDI; GHANBARZADEH AFSHIN

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Journal: JOURNAL OF COMPUTATIONAL APPLIED MECHANICS Year:2018 | Volume:49 | Issue:2 Page(s): 395-407

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Title

Magneto-Thermo mechanical vibration analysis of FG nanoplate embedded on Visco Pasternak foundation

Author(s)

MORADI ABBAS | YAGHOOTIAN AMIN | JALALVAND MEHDI | GHANBARZADEH AFSHIN | Issue Writer Certificate

Keywords

Circular and annular nanoplate

Functional graded nanoplate

Modified strain gradient theory

Modified couple stress theory

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. It is assumed that a uniform radial magnetic field acts on the top surface of the plate and the magnetic permeability coefficient of the plate along its thickness are assumed to vary according to the volume distribution function. 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 magnetic field, 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. Also, the temperature change play important role in the mechanical behavior of the FG circular and annular nanoplate. According to the results, the application of radial magnetic field to the top surface of the plate changes the state of stress in both tangential and radial direction. The present analysis results can be used for the design of the next generation of nano-devices that make use of the thermal vibration properties of the nanoplate.

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APA: Copy

MORADI, ABBAS, YAGHOOTIAN, AMIN, JALALVAND, MEHDI, & GHANBARZADEH, AFSHIN. (2018). Magneto-Thermo mechanical vibration analysis of FG nanoplate embedded on Visco Pasternak foundation. THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, 49(2), 395-407. SID. https://sid.ir/paper/785664/en

Vancouver: Copy

MORADI ABBAS, YAGHOOTIAN AMIN, JALALVAND MEHDI, GHANBARZADEH AFSHIN. Magneto-Thermo mechanical vibration analysis of FG nanoplate embedded on Visco Pasternak foundation. THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS[Internet]. 2018;49(2):395-407. Available from: https://sid.ir/paper/785664/en

IEEE: Copy

ABBAS MORADI, AMIN YAGHOOTIAN, MEHDI JALALVAND, and AFSHIN GHANBARZADEH, “Magneto-Thermo mechanical vibration analysis of FG nanoplate embedded on Visco Pasternak foundation,” THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, vol. 49, no. 2, pp. 395–407, 2018, [Online]. Available: https://sid.ir/paper/785664/en

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