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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
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    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).

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