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    Multistability in an electrically actuated carbon nanotube: A dynamical integrity perspective

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    Type
    Article
    Authors
    Ruzziconi, Laura
    Younis, Mohammad I. cc
    Lenci, Stefano
    KAUST Department
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2013-07-12
    Online Publication Date
    2013-07-12
    Print Publication Date
    2013-11
    Permanent link to this record
    http://hdl.handle.net/10754/562860
    
    Metadata
    Show full item record
    Abstract
    This study deals with a slacked carbon nanotube, which is electrostatically and electrodynamically actuated. After introducing a reduced-order model, we investigate the overall scenario of the device response when both the frequency and the electrodynamic voltage are varied. Extensive numerical simulations are performed. The nanostructure exhibits several competing attractors with different characteristics. We examine the multistability in detail, based on numerical integration of the equation of motion in time, since it leads to a considerable versatility of behavior, which may be desirable in applications. Nevertheless, these results do not take into account the presence of disturbances, which are unavoidable under realistic conditions. To extend them to the practical case where disturbances exist, we develop a dynamical integrity analysis. This is performed via the combined use of several dynamical integrity tools. Analyzing the potential well, we observe that the device may be vulnerable to pull-in considerably before the theoretical inevitable escape. Focusing on the safe range, the main attractors are examined to investigate the practical probability to catch them and the practical disappearance of the main ones. Special attention is devoted to the practical final response, to detect where the safe jump to another attractor may be ensured and where instead dynamic pull-in may arise. We build the integrity charts, which are able to illustrate if and in which parameter range the theoretical predictions can be guaranteed in practice. They may be used to establish safety factors to effectively operate the device according to the desired outcome, depending on the expected disturbances. © 2013 Springer Science+Business Media Dordrecht.
    Citation
    Ruzziconi, L., Younis, M. I., & Lenci, S. (2013). Multistability in an electrically actuated carbon nanotube: a dynamical integrity perspective. Nonlinear Dynamics, 74(3), 533–549. doi:10.1007/s11071-013-0986-5
    Sponsors
    This research has been partially supported by the Italian Ministry of Education, Universities, and Research (MIUR) by the PRIN funded program 2010/11, grant No. 2010MBJK5B "Dynamics, stability, and control of flexible structures," and partially supported by the National Science Foundation through grant No. 0928494.
    Publisher
    Springer Nature
    Journal
    Nonlinear Dynamics
    DOI
    10.1007/s11071-013-0986-5
    ae974a485f413a2113503eed53cd6c53
    10.1007/s11071-013-0986-5
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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