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Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation

Da-Peng Zhang, Yong-Jun Lei, Cheng-Yuan Wang, Zhi-Bin Shen, Chengyuan Wang Orcid Logo

Journal of Mechanical Science and Technology, Volume: 31, Issue: 1, Pages: 87 - 98

Swansea University Author: Chengyuan Wang Orcid Logo

Abstract

Vibration responses were investigated for a viscoelastic Single-walled carbon nanotube (visco-SWCNT) resting on a viscoelastic foundation. Based on the nonlocal Euler-Bernoulli beam model, velocity-dependent external damping and Kelvin viscoelastic foundation model, the governing equations were deri...

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Published in: Journal of Mechanical Science and Technology
ISSN: 1738-494X 1976-3824
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa31837
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Abstract: Vibration responses were investigated for a viscoelastic Single-walled carbon nanotube (visco-SWCNT) resting on a viscoelastic foundation. Based on the nonlocal Euler-Bernoulli beam model, velocity-dependent external damping and Kelvin viscoelastic foundation model, the governing equations were derived. The Transfer function method (TFM) was then used to compute the natural frequencies for general boundary conditions and foundations. In particular, the exact analytical expressions of both complex natural frequencies and critical viscoelastic parameters were obtained for the Kelvin-Voigt visco-SWCNTs with full foundations and certain boundary conditions, and several physically intuitive special cases were discussed. Substantial nonlocal effects, the influence of geometric and physical parameters of the SWCNT and the viscoelastic foundation were observed for the natural frequencies of the supported SWCNTs. The study demonstrates the efficiency and robustness of the developed model for the vibration of the visco-SWCNT-viscoelastic foundation coupling system.
Keywords: Carbon nanotubes, Nonlocal viscoelastic theory, VibrationViscoelastic foundation
College: Faculty of Science and Engineering
Issue: 1
Start Page: 87
End Page: 98