NONLINEAR DYNAMICS OF CARBON NANOTUBES UNDER LARGE ELECTROSTATIC FORCE

Handle URI:
http://hdl.handle.net/10754/557019
Title:
NONLINEAR DYNAMICS OF CARBON NANOTUBES UNDER LARGE ELECTROSTATIC FORCE
Authors:
Xu, Tiantian; Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
Because of the inherent nonlinearities involving the behavior of CNTs when excited by electrostatic forces, modeling and simulating their behavior is challenging. The complicated form of the electrostatic force describing the interaction of their cylindrical shape, forming upper electrodes, to lower electrodes poises serious computational challenges. This presents an obstacle against applying and using several nonlinear dynamics tools typically used to analyze the behavior of complicated nonlinear systems undergoing large motion, such as shooting, continuation, and integrity analysis techniques. This works presents an attempt to resolve this issue. We present an investigation of the nonlinear dynamics of carbon nanotubes when actuated by large electrostatic forces. We study expanding the complicated form of the electrostatic force into enough number of terms of the Taylor series. Then, we utilize this form along with an Euler-Bernoulli beam model to study for the first time the dynamic behavior of CNTs when excited by large electrostatic force. The geometric nonlinearity and the nonlinear electrostatic force are considered. An efficient reduced-order model (ROM) based on the Galerkin method is developed and utilized to simulate the static and dynamic responses of the CNTs. Several results are generated demonstrating softening and hardening behavior of the CNTs near their primary and secondary resonances. The effects of the DC and AC voltage loads on the behavior have been studied. The impacts of the initial slack level and CNT diameter are also demonstrated.
KAUST Department:
Mechanical Engineering Program
Citation:
NONLINEAR DYNAMICS OF CARBON NANOTUBES UNDER LARGE ELECTROSTATIC FORCE 2015 Journal of Computational and Nonlinear Dynamics
Journal:
Journal of Computational and Nonlinear Dynamics
Issue Date:
1-Jun-2015
DOI:
10.1115/1.4030830
Type:
Article
ISSN:
1555-1415
Additional Links:
http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?doi=10.1115/1.4030830
Appears in Collections:
Articles; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorXu, Tiantianen
dc.contributor.authorYounis, Mohammad I.en
dc.date.accessioned2015-06-17T13:50:34Zen
dc.date.available2015-06-17T13:50:34Zen
dc.date.issued2015-06-01en
dc.identifier.citationNONLINEAR DYNAMICS OF CARBON NANOTUBES UNDER LARGE ELECTROSTATIC FORCE 2015 Journal of Computational and Nonlinear Dynamicsen
dc.identifier.issn1555-1415en
dc.identifier.doi10.1115/1.4030830en
dc.identifier.urihttp://hdl.handle.net/10754/557019en
dc.description.abstractBecause of the inherent nonlinearities involving the behavior of CNTs when excited by electrostatic forces, modeling and simulating their behavior is challenging. The complicated form of the electrostatic force describing the interaction of their cylindrical shape, forming upper electrodes, to lower electrodes poises serious computational challenges. This presents an obstacle against applying and using several nonlinear dynamics tools typically used to analyze the behavior of complicated nonlinear systems undergoing large motion, such as shooting, continuation, and integrity analysis techniques. This works presents an attempt to resolve this issue. We present an investigation of the nonlinear dynamics of carbon nanotubes when actuated by large electrostatic forces. We study expanding the complicated form of the electrostatic force into enough number of terms of the Taylor series. Then, we utilize this form along with an Euler-Bernoulli beam model to study for the first time the dynamic behavior of CNTs when excited by large electrostatic force. The geometric nonlinearity and the nonlinear electrostatic force are considered. An efficient reduced-order model (ROM) based on the Galerkin method is developed and utilized to simulate the static and dynamic responses of the CNTs. Several results are generated demonstrating softening and hardening behavior of the CNTs near their primary and secondary resonances. The effects of the DC and AC voltage loads on the behavior have been studied. The impacts of the initial slack level and CNT diameter are also demonstrated.en
dc.relation.urlhttp://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?doi=10.1115/1.4030830en
dc.rightsArchived with thanks to Journal of Computational and Nonlinear Dynamicsen
dc.subjectCarbon nanotubesen
dc.subjectNonlinear dynamicsen
dc.subjectElectrodesen
dc.subjectModelingen
dc.subjectNonlinear systemsen
dc.subjectResonanceen
dc.subjectStressen
dc.subjectHardeningen
dc.subjectDynamic responseen
dc.subjectGalerkin methoden
dc.titleNONLINEAR DYNAMICS OF CARBON NANOTUBES UNDER LARGE ELECTROSTATIC FORCEen
dc.typeArticleen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalJournal of Computational and Nonlinear Dynamicsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Mechanical Engineering, State University of New York at Binghamton, Binghamton, 13902 NY, USAen
kaust.authorYounis, Mohammad I.en
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