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 7th Balkan Mining Congress - confOrganiser.com

7th Balkan Mining Congress

October 11 - 13, 2017.

Analytical solution for thermal vibrations of single-layered graphene sheets with various boundary conditions

Author(s):
1. Nebojša Radić, Mašinski fakultet Univerziteta u Istočnom Sarajevu, Republic of Srpska, Bosnia and Herzegovina
2. Dejan Jeremić, Univerzitet u Istočnom Sarajevu, Republic of Srpska, Bosnia and Herzegovina


Abstract:
This paper deals with analysis of thermal vibration behaviour of orthotropic single-layered nanoplate with various boundary conditions. The new first-order shear deformation theory is reformulated using nonlocal differential constitutive relation of Eringen. The governing equations of motion are derived from Hamilton's principe. Using Galerkin method, analytical solution for rectangular nanoplates under various boundary conditions are obtained. Numerical results are presented to show variations of the dimensionless frequency of single-layered nanoplates corresponding to various values of the nonlocal parameter and temperature change.

Key words:
Nanoplates, Thermal vibration, Galerkin method

Thematic field:
Mechanics and Design

Date of abstract submission:
13.02.2017.

Conference:
13th International Conference on Accomplishments in Mechanical and Industrial Engineering

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