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Advances in Nano Research Volume 7, Number 3, May 2019 , pages 145-155 DOI: https://doi.org/10.12989/anr.2019.7.3.145 |
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Dynamic modeling of smart magneto-electro-elastic curved nanobeams |
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Farzad Ebrahimi, Mohammad Reza Barati and Vinyas Mahesh
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| Abstract | ||
| In this article, the influence of small scale effects on the free vibration response of curved magneto-electro-elastic functionally graded (MEE-FG) nanobeams has been investigated considering nonlocal elasticity theory. Power-law is used to judge the through thickness material property distribution of MEE nanobeams. The Euler-Bernoulli beam model has been adopted and through Hamilton's principle the Nonlocal governing equations of curved MEE-FG nanobeam are obtained. The analytical solutions are obtained and validated with the results reported in the literature. Several parametric studies are performed to assess the influence of nonlocal parameter, magnetic potential, electric voltage, opening angle, material composition and slenderness ratio on the dynamic behaviour of MEE curved nanobeams. It is believed that the results presented in this article may serve as benchmark results in accurate analysis and design of smart nanostructures. | ||
| Key Words | ||
| curved nanobeam; free vibration; magneto-electro-elastic materials; functionally graded material; nonlocal elasticity | ||
| Address | ||
| (1) Farzad Ebrahimi, Mohammad Reza Barati: Mechanical Engineering Department, Faculty of Engineering, Imam Khomeini International University, Qazvin, P.O.B. 16818-34149, Iran; (2) Vinyas Mahesh: Department of Mechanical Engineering, Nitte Meenakshi Institute of Technology, Karnataka 5600064, India. | ||