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Flow-induced Vibration of Carbon Nanopipe with Nonlocal Effect

Nonlocal 효과를 고려한 탄소나노파이프의 유체유발 진동

  • Received : 2011.10.12
  • Accepted : 2011.11.07
  • Published : 2012.01.20

Abstract

In this paper, flow-induced flutter instability of a cantilever carbon nanotube conveying fluid and modelled as a thin-walled beam is investigated. Analytically nonlocal effect, transverse shear and rotary inertia are incorporated in this study. The governing equations and the boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extended Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Variation of critical flow velocity of carbon nanopipes based on three different models such as analytically nonlocal model, partially nonlocal model, and local model are investigated and pertinent conclusion is outlined.

Keywords

References

  1. Sohlberg, K., Sumpter, B. G., Tuzun, R. E. and Noid, D. W., 1998 Continuum Methods of Mechanics as a Simplified Approach to Structural Engineering of Nanostructures, Nanotechnology, Vol. 9, No. 1, pp. 30-36. https://doi.org/10.1088/0957-4484/9/1/004
  2. Fernandez, I. R., Fangohr, H. and Bhaskar, A., 2006, Normal Modes of Carbon Nanotubes : Similarities and Differences with Their Continuum Counterpart, Journal of Physics : Conference Series 26, pp. 131-134.
  3. Yoon, J., Ru, C. Q. and Mioduchowski, A., 2005, Vibration and Instability of Carbon Nanotubes Conveying Fluid, Composites Science and Technology, Vol. 65, No. 9, pp. 1326-1336. https://doi.org/10.1016/j.compscitech.2004.12.002
  4. Yoon, J., Ru, C. Q. and Mioduchowski, A., 2006, Flow-induced Flutter Instability of Cantilever Carbon Nanotubes, International Journal of Solids and Structures, Vol. 43, No. 11-12, pp. 3337-3349. https://doi.org/10.1016/j.ijsolstr.2005.04.039
  5. Choi, J. W., Gil, B. R. and Song, O. S., 2008, Flow-induced Vibration of Carbon Nanotubes Conveying Fluid, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 6, pp. 654-662. https://doi.org/10.5050/KSNVN.2008.18.6.654
  6. Choi, J. W. and Song, O. S., 2008, Effect of Boundary Conditions on the Stability Characteristics of Nanopipes, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 10, pp. 1057-1064. https://doi.org/10.5050/KSNVN.2008.18.10.1057
  7. Eringen, A. C., 2002, Nonlocal Continuum Field Theories, Springer.
  8. Soltani, P., Taherian, M. M. and Farshidianfar, A., 2010, Vibration and Instability of a Viscousfluid- conveying Single-walled Carbon Nanotube Embedded in a Visco-elastic Medium, J. Phys. D: Appl. Phys., Vol. 43, No. 42, 425401. https://doi.org/10.1088/0022-3727/43/42/425401
  9. Lee, H.-L. and Chang, W.-J., 2008, Free Transverse Vibration of The Fluid-conveying Singlewalled Carbon Nanotube Using Nonlocal Elastic Theory, Journal of Applied Physics, Vol. 103, No. 2, 024302. https://doi.org/10.1063/1.2822099
  10. Lee, H.-L. and Chang, W.-J., 2009, Vibration Analysis of a Viscous-fluid-conveying Single-walled Carbon Nanotube Embedded in an Elastic Medium, Physica E, Vol. 41, No. 4, pp. 529-532. https://doi.org/10.1016/j.physe.2008.10.002
  11. Wang, L., 2009, Vibration and Instability Analysis of Tubular Nano- and Micro-beams Conveying Fluid Using Nonlocal Elastic Theory, Physica E, Vol. 41, No. 10, pp. 1835-1840. https://doi.org/10.1016/j.physe.2009.07.011
  12. Yang, Y., Zhang, L. and Lim, C. W., 2011, Wave Propagation in Double-walled Carbon Nanotubes on a Novel Analytically Nonlocal Timoshenko-beam Model, Journal of Sound and Vibration, Vol. 330, No. 8, pp. 1704-1717. https://doi.org/10.1016/j.jsv.2010.10.028
  13. Paidoussis, M. P., 1998, Fluid-structure Interactions : Slender Structures and Axial Flow, Vol. 1, Academic Press.
  14. Choi, J. W. and Song, O. S., 2001, Stability Analysis of Composite Material Pipes Conveying Fluid, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 11, No. 8, pp. 314-321.
  15. Librescu, L. and Song, O. S., 2006, Thinwalled Composite Beams : Theory and Application, Springer.
  16. Narendar, S. and Gopalakrishnan, S., 2010, Terahertz Wave Characteristics of a Single-walled Carbon Nanotube Containing a Fluid Flow using the Nonlocal Timoshenko Beam Model, Physica E, Vol. 42, No. 5, pp. 1706-1712. https://doi.org/10.1016/j.physe.2010.01.028

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  1. Stability Analysis of Nanopipes Considering Nonlocal Effect vol.23, pp.4, 2013, https://doi.org/10.5050/KSNVE.2013.23.4.324