IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v511y2018icp85-103.html
   My bibliography  Save this article

Vibration and instability analysis of flow-conveying carbon nanotubes in the presence of material uncertainties

Author

Listed:
  • Liu, Hu
  • Lv, Zheng

Abstract

This paper aims to present an interval analysis method to reveal the vibration and instability behaviors of flow-conveying CNTs under uncertain material properties. Based on the nonlocal Timoshenko beam theory, the governing equation of a flow-conveying CNT surrounded by a Pasternak-type elastic medium is derived. Firstly, the deterministic parametric analysis is performed to highlight the influence of the material properties on the critical flow velocity and fundamental frequency of the system. Then, these material parameters are all defined as uncertain-but-bounded variables, and the critical flow velocity and the upper and lower bounds of the fundamental frequency of the system are examined correspondingly by using the surrogate model-based interval analysis method. Finally, the effects of elastic medium, nonlocal coefficient and uncertain level on the critical flow velocity and bounds of the fundamental frequency are discussed in detail. In addition, the verification of the proposed method is confirmed by probabilistic method and Monte Carlo simulation. Conclusions obtained in this paper can provide helpful guidelines for the precise control of the flow-conveying CNTs.

Suggested Citation

  • Liu, Hu & Lv, Zheng, 2018. "Vibration and instability analysis of flow-conveying carbon nanotubes in the presence of material uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 85-103.
    • Handle: RePEc:eee:phsmap:v:511:y:2018:i:c:p:85-103
    DOI: 10.1016/j.physa.2018.07.043
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118309154
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2018.07.043?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Avendaño, Carlos G. & Reyes, J. Adrián, 2018. "Propagation of mechanical waves through a stochastic medium with spherical symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 161-170.
    2. Deng, Xinyang & Deng, Yong, 2014. "On the axiomatic requirement of range to measure uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 163-168.
    3. Putthikorn, Sasipim & Baowan, Duangkamon, 2016. "Mathematical model for drug molecules encapsulated in lipid nanotube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 46-60.
    4. Köhler, Mateus Henrique & Bordin, José Rafael & da Silva, Leandro B. & Barbosa, Marcia C., 2018. "Structure and dynamics of water inside hydrophobic and hydrophilic nanotubes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 331-337.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pirmoradian, Mostafa & Torkan, Ehsan & Zali, Hamid & Hashemian, Mohammad & Toghraie, Davood, 2020. "Statistical and parametric instability analysis for delivery of nanoparticles through embedded DWCNT," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Qi & Luo, Chuanhai & Li, Meizhu & Deng, Yong & Mahadevan, Sankaran, 2015. "Tsallis information dimension of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 707-717.
    2. Deng, Yong, 2016. "Deng entropy," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 549-553.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:511:y:2018:i:c:p:85-103. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.