RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE

This paper presents an investigation of the nonlinear problem of electrically actuated single-walled carbon nanotube. A clamped-clamped carbon nanotube connected to the fixed electrode plate,forming a capacitor under the external excitation voltage. According to the beam theory,the nonlinear dynamic...

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Main Authors: YANG ZhiAn, LIU ZhiWei
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2016-01-01
Series:Jixie qiangdu
Subjects:
Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.04.002
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author YANG ZhiAn
LIU ZhiWei
author_facet YANG ZhiAn
LIU ZhiWei
author_sort YANG ZhiAn
collection DOAJ
description This paper presents an investigation of the nonlinear problem of electrically actuated single-walled carbon nanotube. A clamped-clamped carbon nanotube connected to the fixed electrode plate,forming a capacitor under the external excitation voltage. According to the beam theory,the nonlinear dynamic equation of carbon nanotube system is established,it is a nonlinear partial differential equation. By means of the method of multiple scales,nonlinear vibration equation of the system is acquired and the numerical calculation is carried out. Numerical analysis of the influence of different parameters is analyzed.With the increase of carbon nanotube length and AC voltage,the amplitude and the unstable interval become larger. With the increase of carbon nanotube radius and plate distance,the amplitude and the unstable interval become smaller. Whenσis close to zero,the amplitude of the response curves hardly changes with the other system parameters.
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spelling doaj.art-27dc6f501f6b4ac3962811b99cc3add72023-08-01T07:42:27ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692016-01-013867567930595417RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBEYANG ZhiAnLIU ZhiWeiThis paper presents an investigation of the nonlinear problem of electrically actuated single-walled carbon nanotube. A clamped-clamped carbon nanotube connected to the fixed electrode plate,forming a capacitor under the external excitation voltage. According to the beam theory,the nonlinear dynamic equation of carbon nanotube system is established,it is a nonlinear partial differential equation. By means of the method of multiple scales,nonlinear vibration equation of the system is acquired and the numerical calculation is carried out. Numerical analysis of the influence of different parameters is analyzed.With the increase of carbon nanotube length and AC voltage,the amplitude and the unstable interval become larger. With the increase of carbon nanotube radius and plate distance,the amplitude and the unstable interval become smaller. Whenσis close to zero,the amplitude of the response curves hardly changes with the other system parameters.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.04.002Single-walled carbon nanotube;The method of multiple scales;Weak nonlinear;Harmonic excitation
spellingShingle YANG ZhiAn
LIU ZhiWei
RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE
Jixie qiangdu
Single-walled carbon nanotube;The method of multiple scales;Weak nonlinear;Harmonic excitation
title RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE
title_full RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE
title_fullStr RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE
title_full_unstemmed RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE
title_short RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE
title_sort research on nonlinear vibration for electrically actuated single walled carbon nanotube
topic Single-walled carbon nanotube;The method of multiple scales;Weak nonlinear;Harmonic excitation
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.04.002
work_keys_str_mv AT yangzhian researchonnonlinearvibrationforelectricallyactuatedsinglewalledcarbonnanotube
AT liuzhiwei researchonnonlinearvibrationforelectricallyactuatedsinglewalledcarbonnanotube