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Advances in Nano Research
  Volume 5, Number 4, December 2017 , pages 313-336
DOI: https://doi.org/10.12989/anr.2017.5.4.313
 


A third-order parabolic shear deformation beam theory for nonlocal vibration analysis of magneto-electro-elastic nanobeams embedded in two-parameter elastic foundation
Farzad Ebrahimi and Mohammad Reza Barati

 
Abstract
    This article investigates vibration behavior of magneto-electro-elastic functionally graded (MEE-FG) nanobeams embedded in two-parameter elastic foundation using a third-order parabolic shear deformation beam theory. Material properties of MEE-FG nanobeam are supposed to be variable throughout the thickness based on power-law model. Based on Eringen's nonlocal elasticity theory which captures the small size effects and using the Hamilton
 
Key Words
    magneto-electro-elastic FG nanobeam; free vibration; nonlocal elasticity theory; higher order beam theory
 
Address
(1) Farzad Ebrahimi:
Mechanical Engineering Department, Faculty of Engineering, Imam Khomeini International University, Qazvin, P.O.B. 16818-34149, Iran;
(2) Mohammad Reza Barati:
Aerospace Engineering Department & Center of Excellence in Computational Aerospace, Amirkabir University of Technology, Tehran, Iran.
 

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