publication . Article . 2016

Carbon Nanotube Structure Vibration Based on Non-local Elasticity

Belhadj, Abdelkadir; Boukhalfa, Abdelkrim; Belalia, Sid Ahmed;
Open Access English
  • Published: 04 Dec 2016 Journal: Journal of Modern Materials (issn: 2456-4834, eissn: 2456-4834, Copyright policy)
  • Publisher: AIJR Publisher
Abstract
This manuscript investigates the bending vibration dynamic of a single walled carbon nanotube (SWCNT) based on the theory of non-local elasticity. Fundamental natural frequencies and mode shapes of the SWCNT are computed by using a semi-analytical procedure called differential quadrature method (DQM), which gives accurate results in reference with the exact solution.
Subjects
arXiv: Condensed Matter::Materials SciencePhysics::Atomic and Molecular Clusters
free text keywords: Carbon nanotube, vibration, non-local elasticity, frequency, Euler-Bernoulli, DQM
Download from
17 references, page 1 of 2

S. Iijima, “Helical microtubules of graphitic carbon” Nature, vol.354, pp. 56-58, 1991.

S.N. Cha, J.E. Jang, Y. Choi, G.A.J. Amaratunga et al., “Fabrication of a nanoelectromechanical switch using a suspended carbon nanotube”, Applied Physics Letters, vol. 86, no.8, p083105, 2005. [OpenAIRE]

Roland, “Mechanical and electrical properties of nanotubes” Annual Review of Materials Research, vol 32, no.1 pp347-375, 2002.

F. ChenXin, C. YunFei, J. JiWei, “Molecular dynamics simulation of the test of single-walled carbon nanotubes under tensile loading”, Science in China Series E: Technological Science, vol.50, no.1, pp7-17, 2007. [OpenAIRE]

K. P. Chong, “Nano science and engineering in solid mechanics”. Acta Mechanica Solida Sinica, vol. 21, no2, pp 95-103, 2008.

International Journal of Engineering and Science, vol.10, no.1, pp 1-16, 1972.

[7] A.C. Eringen, “Relation between non-local elasticity and lattice dynamics”. Crystal lattice defects, vol. 7, pp.

Q. Wang, “Wave propagation in carbon nanotubes via nonlocal continuum mechanics”, Journal of applied Physics. vol. 98, no 12, pp 124301, 2005.

L.F. Wang, H.Y. Hu, “Flexural wave propagation in single-walled carbon nanotubes,” Physical Review B, Vol. 71, no. 19, p.195412.2005.

Q. Wang, Q, Varadan, V.K., Quek, S.T., “Small scale effect on elastic buckling of carbon nanotubes with nonlocal continuum models», Physics Letters. A, vol.357, no.2, pp. 130-135., 2006.

J. Bocko, P. Lengvarský, “Vibration of Single-Walled Carbon Nanotubes by Using Nonlocal Theory”, American Journal of Mechanical Engineering, Vol. 2, no. 7, pp.195-198, 2014. [OpenAIRE]

T. Natsuki, N. Matsuyama, Q.Ni, “Vibration analysis of carbon nanotube-based resonator using nonlocal elasticity theory”, Applied Physics A, vol.120, no.4, pp.1309-1313, 2015. [OpenAIRE]

A. Houmat, “Nonlinear free vibration of non-prismatic single-walled carbon nanotubes by a non-local shear deformable beam p-element”, Acta Mechanica., vol 227. no.4, pp. 1051-1065, 2015. [OpenAIRE]

S. Govind, S. Bansal, “Design of Mass-sensor Based on Resonant Frequency Analysis of a Single Walled Nanotube”, International Journal of Advanced Mechanical Engineering, vol.4, no.3, pp. 331- 342,2014.

C.W. Bert, M. Malik, “Differential quadrature method in computational mechanics: A review”, Applied Mechanics Review, vol. 49, no.1, pp. 1-27. 1996.

17 references, page 1 of 2
Abstract
This manuscript investigates the bending vibration dynamic of a single walled carbon nanotube (SWCNT) based on the theory of non-local elasticity. Fundamental natural frequencies and mode shapes of the SWCNT are computed by using a semi-analytical procedure called differential quadrature method (DQM), which gives accurate results in reference with the exact solution.
Subjects
arXiv: Condensed Matter::Materials SciencePhysics::Atomic and Molecular Clusters
free text keywords: Carbon nanotube, vibration, non-local elasticity, frequency, Euler-Bernoulli, DQM
Download from
17 references, page 1 of 2

S. Iijima, “Helical microtubules of graphitic carbon” Nature, vol.354, pp. 56-58, 1991.

S.N. Cha, J.E. Jang, Y. Choi, G.A.J. Amaratunga et al., “Fabrication of a nanoelectromechanical switch using a suspended carbon nanotube”, Applied Physics Letters, vol. 86, no.8, p083105, 2005. [OpenAIRE]

Roland, “Mechanical and electrical properties of nanotubes” Annual Review of Materials Research, vol 32, no.1 pp347-375, 2002.

F. ChenXin, C. YunFei, J. JiWei, “Molecular dynamics simulation of the test of single-walled carbon nanotubes under tensile loading”, Science in China Series E: Technological Science, vol.50, no.1, pp7-17, 2007. [OpenAIRE]

K. P. Chong, “Nano science and engineering in solid mechanics”. Acta Mechanica Solida Sinica, vol. 21, no2, pp 95-103, 2008.

International Journal of Engineering and Science, vol.10, no.1, pp 1-16, 1972.

[7] A.C. Eringen, “Relation between non-local elasticity and lattice dynamics”. Crystal lattice defects, vol. 7, pp.

Q. Wang, “Wave propagation in carbon nanotubes via nonlocal continuum mechanics”, Journal of applied Physics. vol. 98, no 12, pp 124301, 2005.

L.F. Wang, H.Y. Hu, “Flexural wave propagation in single-walled carbon nanotubes,” Physical Review B, Vol. 71, no. 19, p.195412.2005.

Q. Wang, Q, Varadan, V.K., Quek, S.T., “Small scale effect on elastic buckling of carbon nanotubes with nonlocal continuum models», Physics Letters. A, vol.357, no.2, pp. 130-135., 2006.

J. Bocko, P. Lengvarský, “Vibration of Single-Walled Carbon Nanotubes by Using Nonlocal Theory”, American Journal of Mechanical Engineering, Vol. 2, no. 7, pp.195-198, 2014. [OpenAIRE]

T. Natsuki, N. Matsuyama, Q.Ni, “Vibration analysis of carbon nanotube-based resonator using nonlocal elasticity theory”, Applied Physics A, vol.120, no.4, pp.1309-1313, 2015. [OpenAIRE]

A. Houmat, “Nonlinear free vibration of non-prismatic single-walled carbon nanotubes by a non-local shear deformable beam p-element”, Acta Mechanica., vol 227. no.4, pp. 1051-1065, 2015. [OpenAIRE]

S. Govind, S. Bansal, “Design of Mass-sensor Based on Resonant Frequency Analysis of a Single Walled Nanotube”, International Journal of Advanced Mechanical Engineering, vol.4, no.3, pp. 331- 342,2014.

C.W. Bert, M. Malik, “Differential quadrature method in computational mechanics: A review”, Applied Mechanics Review, vol. 49, no.1, pp. 1-27. 1996.

17 references, page 1 of 2
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