Advances in Nano Research
Volume 5, Number 4, 2017, pages 313-336
DOI: 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;<br>(2) Mohammad Reza Barati:
Aerospace Engineering Department & Center of Excellence in Computational Aerospace, Amirkabir University of Technology, Tehran, Iran.