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

被引：0
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;
D O I：
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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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  • [1] Wang Q(2007)Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures Phys. Lett. A 363 236-242
  • [2] Liew KM(2015)Nonlinear nonlocal analysis of electrostatic nanoactuators Compos. Struct. 120 117-128
  • [3] Najar F(2016)Nonlinear vibration of nanobeam with attached mass at the free end via nonlocal elasticity theory Microsyst. Technol. 22 2349-2359
  • [4] El-Borgi S(2016)Nonlocal vibration and stability of a multiple-nanobeam system coupled by the Winkler elastic medium Appl. Math. Modell. 40 1599-1614
  • [5] Reddy JN(2015)Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect Steel Compos. Struct. 18 425-442
  • [6] Mrabet K(2016)Bending, buckling, and free vibration of magnetoelectroelastic nanobeam based on nonlocal theory J. Intell. Mater. Syst. Struct. 27 1139-1149
  • [7] Togun N(2015)A semi analytical approach for large amplitude free vibration and buckling of nonlocal FG beams resting on elastic foundation Compos. Struct. 119 452-462
  • [8] Karličić D(2015)Free vibration analysis of axially functionally graded nanobeam with radius varies along the length based on strain gradient theory Appl. Math. Modell. 39 5354-5369
  • [9] Kozić P(2016)Nonlinear vibration of axially functionally graded non-uniform nanobeams Int. J. Eng. Sci. 106 77-94
  • [10] Pavlović R(2016)Thermal effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load Acta Astronaut. 127 171-181
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