Free and forced axial vibration of single walled carbon nanotube under linear and harmonic concentrated forces based on nonlocal theory

Khosravi, F; Hosseini, SA; Hayati, H

Free and forced axial vibration of single walled carbon nanotube under linear and harmonic concentrated forces based on nonlocal theory

Khosravi, F Hosseini, SA Hayati, H

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Publisher:: WORLD SCIENTIFIC PUBL CO PTE LTD
Publication Type:: Journal Article
Citation:: International Journal of Modern Physics B, 2020, 34, (8)
Issue Date:: 2020-03-30

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Field	Value	Language
dc.contributor.author	Khosravi, F
dc.contributor.author	Hosseini, SA
dc.contributor.author	Hayati, H https://orcid.org/0000-0002-6781-6093
dc.date.accessioned	2021-06-01T19:35:32Z
dc.date.available	2021-06-01T19:35:32Z
dc.date.issued	2020-03-30
dc.identifier.citation	International Journal of Modern Physics B, 2020, 34, (8)
dc.identifier.issn	0217-9792
dc.identifier.issn	1793-6578
dc.identifier.uri	http://hdl.handle.net/10453/149322
dc.description.abstract	The aim of this paper is to investigate the free and forced axial vibrations under the two various linear and harmonic axial concentrated forces in zigzag single-walled carbon nanotube (SWCNT). Two different boundary conditions, namely clamped-clamped and clamped-free, are established. Eringen's nonlocal elasticity is employed to justify the nonlocal behavior of constitutive relations. The governing equation and the associated boundary condition are derived based on Hamilton's principle. In order to solve the derived equation numerically, the assumed modes method is utilized. In the free axial vibration section, the first three natural frequencies are obtained for the various values of the nonlocal parameter. The results are in good agreement in comparison with another study. The fundamental natural frequencies with respect to the nonlocal parameter of the case study as a semiconducting nanotube with boron nitride nanotube (BNNT) as a semiconducting nanotube and SWCNT (5,5) as a metallic nanotube are compared. The effects of the nonlocal parameter, thickness and ratio of the excitation-to-natural frequencies overtime on dimensional and nondimensional axial displacements are studied.
dc.language	English
dc.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
dc.relation.ispartof	International Journal of Modern Physics B
dc.relation.isbasedon	10.1142/S0217979220500678
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences
dc.subject.classification	General Physics
dc.title	Free and forced axial vibration of single walled carbon nanotube under linear and harmonic concentrated forces based on nonlocal theory
dc.type	Journal Article
utslib.citation.volume	34
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
dc.date.updated	2021-06-01T19:35:30Z
pubs.issue	8
pubs.publication-status	Published
pubs.volume	34
utslib.citation.issue	8

Abstract:

The aim of this paper is to investigate the free and forced axial vibrations under the two various linear and harmonic axial concentrated forces in zigzag single-walled carbon nanotube (SWCNT). Two different boundary conditions, namely clamped-clamped and clamped-free, are established. Eringen's nonlocal elasticity is employed to justify the nonlocal behavior of constitutive relations. The governing equation and the associated boundary condition are derived based on Hamilton's principle. In order to solve the derived equation numerically, the assumed modes method is utilized. In the free axial vibration section, the first three natural frequencies are obtained for the various values of the nonlocal parameter. The results are in good agreement in comparison with another study. The fundamental natural frequencies with respect to the nonlocal parameter of the case study as a semiconducting nanotube with boron nitride nanotube (BNNT) as a semiconducting nanotube and SWCNT (5,5) as a metallic nanotube are compared. The effects of the nonlocal parameter, thickness and ratio of the excitation-to-natural frequencies overtime on dimensional and nondimensional axial displacements are studied.

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http://hdl.handle.net/10453/149322