On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment

被引：0
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作者：
Seyed Sajad Mirjavadi
Samira Rabby
Navvab Shafiei
Behzad Mohasel Afshari
Mohammad Kazemi
机构：
[1] University of Tehran,School of Mechanical Engineering, College of Engineering
[2] Payame Noor University (PNU),Department of Information Technology, Engineering
[3] Payame Noor University (PNU),Department of Mechanical Engineering
[4] Sharif University of Technology,School of Mechanical Engineering, College of Engineering
[5] Hoonam Sanat Farnak Engineering and Technology Company,undefined
来源：
Applied Physics A | 2017年 / 123卷
关键词：
Free Vibration; Nonlocal Parameter; Nonlocal Elasticity; Nonlocal Continuum; Thermal Buckling;
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摘要：
This article aims to study the buckling and free vibrational behavior of axially functionally graded (AFG) nanobeam under thermal effect for the first time. The temperature is considered to be constant and variable along thickness and different boundary conditions. The governing equation is developed using the Hamilton’s principle considering the axial force. The Euler–Bernoulli beam theory is used to model the nanobeam, and Eringen’s nonlocal elasticity theory is utilized to consider the nano-size effect. The generalized differential quadrature method (GDQM) is used to solve the equations. The small-scale parameter, AFG power index, thermal distribution, different functions of temperature increase for different boundary conditions are given in detail.
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