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Advances in Nano Research Volume 5, Number 2, June 2017 , pages 179-192 DOI: https://doi.org/10.12989/anr.2017.5.2.179 |
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Free vibration analysis of double walled carbon nanotubes embedded in an elastic medium with initial imperfection |
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Javad Ehyaei and Mohsen Daman
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| Abstract | ||
| The transverse vibration of double walled carbon nanotube (DWCNT) embedded in elastic medium with an initial imperfection is considered. In this paper, Timoshenko beam theory is employed. However the nonlocal theory is used for modeling the nano scale of nanotube. In addition, the governing Equations of motion are obtained utilizing the Hamilton's principle and simply-simply boundary conditions are assumed. Furthermore, the Navier method is used for determining the natural frequencies of DWCNT. Hence, some parameters such as nonlocality, curvature amplitude, Winkler and Pasternak elastic foundations and length of the curved DWCNT are analyzed and discussed. The results show that, the curvature amplitude causes to increase natural frequency. However, nonlocal coefficient and elastic foundations have important role in vibration behavior of DWCNT with imperfection. | ||
| Key Words | ||
| free vibration; double walled carbon nanotubes initial imperfection; elastic foundation | ||
| Address | ||
| Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran. | ||