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