Small size and rotary inertia effects on the natural frequencies of carbon nanotubes

In the present paper, rotary inertia and small size effects on the free vibration response of single-walled carbon nanotubes are examined. The equations in motion and associated boundary conditions are obtained by using Hamilton’s principle on the basis of modified couple stress and Rayleigh beam th...

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Main Authors:	Civalek Ömer, Ersoy Hakan, Numanoğlu Hayri Metin, Akgöz Bekir
Format:	Article
Language:	English
Published:	De Gruyter 2018-11-01
Series:	Curved and Layered Structures
Subjects:	size dependency carbon nanotube nonclassical continuum theory rotary inertia effect vibration
Online Access:	https://doi.org/10.1515/cls-2018-0020

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spelling	doaj-2f70f2aca8a0486a8a67dde97c42b9a92021-09-06T19:19:40ZengDe GruyterCurved and Layered Structures2353-73962018-11-015127327910.1515/cls-2018-0020cls-2018-0020Small size and rotary inertia effects on the natural frequencies of carbon nanotubesCivalek Ömer0Ersoy Hakan1Numanoğlu Hayri Metin2Akgöz Bekir3Akdeniz University, Engineering Faculty, Civil Engineering Department, Division of Mechanics,Antalya, TurkeyAkdeniz University, Engineering Faculty, Mechanical Engineering Department, Division of Mechanics,Antalya, TurkeyAkdeniz University, Engineering Faculty, Civil Engineering Department, Division of Mechanics,Antalya, TurkeyAkdeniz University, Engineering Faculty, Civil Engineering Department, Division of Mechanics,Antalya, TurkeyIn the present paper, rotary inertia and small size effects on the free vibration response of single-walled carbon nanotubes are examined. The equations in motion and associated boundary conditions are obtained by using Hamilton’s principle on the basis of modified couple stress and Rayleigh beam theories. The size effect is taken into account by modified couple stress theory while the rotary inertia effect is considered by Rayleigh beam theory. The resulting equations are analytically solved by implementing Navier’s solution technique for pinned-pinned carbon nanotubes. Influences of slenderness ratio, length scale parameter and rotary inertia on the natural frequencies of single-walled carbon nanotubes are studied in detail.https://doi.org/10.1515/cls-2018-0020size dependencycarbon nanotubenonclassical continuum theoryrotary inertia effectvibration
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Civalek Ömer Ersoy Hakan Numanoğlu Hayri Metin Akgöz Bekir
spellingShingle	Civalek Ömer Ersoy Hakan Numanoğlu Hayri Metin Akgöz Bekir Small size and rotary inertia effects on the natural frequencies of carbon nanotubes Curved and Layered Structures size dependency carbon nanotube nonclassical continuum theory rotary inertia effect vibration
author_facet	Civalek Ömer Ersoy Hakan Numanoğlu Hayri Metin Akgöz Bekir
author_sort	Civalek Ömer
title	Small size and rotary inertia effects on the natural frequencies of carbon nanotubes
title_short	Small size and rotary inertia effects on the natural frequencies of carbon nanotubes
title_full	Small size and rotary inertia effects on the natural frequencies of carbon nanotubes
title_fullStr	Small size and rotary inertia effects on the natural frequencies of carbon nanotubes
title_full_unstemmed	Small size and rotary inertia effects on the natural frequencies of carbon nanotubes
title_sort	small size and rotary inertia effects on the natural frequencies of carbon nanotubes
publisher	De Gruyter
series	Curved and Layered Structures
issn	2353-7396
publishDate	2018-11-01
description	In the present paper, rotary inertia and small size effects on the free vibration response of single-walled carbon nanotubes are examined. The equations in motion and associated boundary conditions are obtained by using Hamilton’s principle on the basis of modified couple stress and Rayleigh beam theories. The size effect is taken into account by modified couple stress theory while the rotary inertia effect is considered by Rayleigh beam theory. The resulting equations are analytically solved by implementing Navier’s solution technique for pinned-pinned carbon nanotubes. Influences of slenderness ratio, length scale parameter and rotary inertia on the natural frequencies of single-walled carbon nanotubes are studied in detail.
topic	size dependency carbon nanotube nonclassical continuum theory rotary inertia effect vibration
url	https://doi.org/10.1515/cls-2018-0020
work_keys_str_mv	AT civalekomer smallsizeandrotaryinertiaeffectsonthenaturalfrequenciesofcarbonnanotubes AT ersoyhakan smallsizeandrotaryinertiaeffectsonthenaturalfrequenciesofcarbonnanotubes AT numanogluhayrimetin smallsizeandrotaryinertiaeffectsonthenaturalfrequenciesofcarbonnanotubes AT akgozbekir smallsizeandrotaryinertiaeffectsonthenaturalfrequenciesofcarbonnanotubes
_version_	1717778032146513920

Small size and rotary inertia effects on the natural frequencies of carbon nanotubes

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