Thermal vibration of two-dimensional functionally graded (2D-FG) porous Timoshenko nanobeams

Seyed Sajad Mirjavadi, Behzad Mohasel Afshari, Navvab Shafiei, A.M.S. Hamouda and Mohammad Kazemi

Abstract

The thermo-mechanical vibration behavior of two dimensional functionally graded (2D-FG) porous nanobeam is reported in this paper. The material properties of the nanobeam are variable along thickness and length of the nanobeam according to the power law function. The nanobeam is modeled within the framework of Timoshenko beam theory. Eringen\'s s nonlocal elasticity theory is used to develop the governing equations. Using the generalized differential quadrature method (GDQM) the governing equations are solved. The effect of porosity, temperature distribution, nonlocal value, L/h, FG power indexes along thickness and length and are investigated using parametric studies.

Key Words

thermal vibration; Eringen theory; porous; imperfect nanobeam; 2D-FGM.

Address

Seyed Sajad Mirjavadi and A.M.S. Hamouda: Department of Mechanical and Industrial Engineering, Qatar University, P.O. Box 2713, Doha, Qatar Behzad Mohasel Afshari: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran Navvab Shafiei: Department of Mechanical Engineering, Payame Noor University (PNU), P. O. Box, 19395-3697, Tehran, Iran Mohammad Kazemi:Hoonam Sanat Farnak Engineering and Technology Company, Postal code: 6931876647, Ilam, Iran

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