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Advances in Nano Research Volume 7, Number 6, November 2019 , pages 391-403 DOI: https://doi.org/10.12989/anr.2019.7.6.391 |
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Frequency response analysis of curved embedded magneto-electro-viscoelastic functionally graded nanobeams |
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Farzad Ebrahimi, Ramin Ebrahimi Fardshad and Vinyas Mahesh
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| Abstract | ||
| In this article the frequency response analysis of curved magneto-electro-viscoelastic functionally graded (CMEV-FG) nanobeams resting on viscoelastic foundation has been carried out. To this end, the study incorporates the Euler-Bernoulli beam model in association with Eringen's nonlocal theory to incorporate the size effects. The viscoelastic foundation in the current investigation is assumed to be the combination of Winkler-Pasternak layer and viscous layer of infinite parallel dashpots. The equations of motion are derived with the aid of Hamilton's principle and the solution to vibration problem of CMEV-FG nanobeams are obtained analytically. The material gradation is considered to follow Power-law rule. This study thoroughly investigates the influence of prominent parameters such as linear, shear and viscous layers of foundation, structural damping coefficient, opening angle, magneto-electrical field, nonlocal parameter, power-law exponent and slenderness ratio on the frequencies of FG nanobeams. | ||
| Key Words | ||
| curved nanobeaml free vibration; magneto-electro-viscoelastic materials; FGM; nonlocal elasticity | ||
| Address | ||
| (1) Farzad Ebrahimi: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Postal code: 3414916818, Qazvin, Iran; (2) Ramin Ebrahimi Fardshad, Vinyas Mahesh: Department of Mechanical Engineering, Nitte Meenakshi Institute of Technology, Bangalore, India-560064. | ||