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탄소나노튜브의 유체유발 진동

Flow-induced Vibration of Carbon Nanotubes Conveying Fluid

  • 최종운 (충남대학교 대학원 기계공학과) ;
  • 길보람 (충남대학교 대학원 기계공학과) ;
  • 송오섭 (충남대학교 기계공학과)
  • 발행 : 2008.06.20

초록

In this paper, flow-induced flutter instability of cantilever carbon nanotubes conveying fluid and modelled as a thin-walled beam is investigated. Non-classical effects of transverse shear and rotary inertia are incorporated in this study. The governing equations and the associated boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extend Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Cantilevered carbon nanotubes are damped with decaying amplitude for flow velocity below a certain critical value, however, beyond this critical flow velocity, flutter instability may occur. Variations of critical flow velocity with both radius ratio and length of carbon nanotubes are investigated and pertinent conclusion is outlined.

키워드

참고문헌

  1. 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, pp. 3337-3349 https://doi.org/10.1016/j.ijsolstr.2005.04.039
  2. Yoon, J., Ru, C. Q. and Mioduchowski, A., 2005, 'Vibration and Instability of Carbon Nanotubes Conveying Fluid', Composites Science and Technology, Vol. 65, pp. 1326-1336 https://doi.org/10.1016/j.compscitech.2004.12.002
  3. Yoon, J., Ru, C. Q. and Mioduchowski, A., 2003, 'Vibration of an Embedded Multiwall Carbon Nanotube', Composites Science and Technology, Vol. 63, pp. 1533-1542 https://doi.org/10.1016/S0266-3538(03)00058-7
  4. Wang, C. M., Tan, V. B. C. and Zhang, Y. Y., 2006 'Timoshenko Beam Model for Vibration Analysis of Multi-walled Carbon Nanotubes', Journal of Sound and Vibration, Vol. 294, pp. 1060-1072 https://doi.org/10.1016/j.jsv.2006.01.005
  5. Li, C. and Chou, T.-W., 2003, 'Elastic Moduli of Multi-walled Carbon Nanotubes and The Effect of Van der Waals Forces', Composites Science and Technology, Vol. 63, pp. 1517-1524 https://doi.org/10.1016/S0266-3538(03)00072-1
  6. Wang, C. Y., Ru, C. Q. and Mioduchowski, A., 2005 'Free Vibration of Multiwall Carbon Nanotubes', Journal of Applied Physics, Vol. 97, No. 114323, pp. 1-11 https://doi.org/10.1007/10828028_1
  7. 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, pp. 30-36 https://doi.org/10.1088/0957-4484/9/1/004
  8. Paidoussis, M. P., 1998, 'Fluid-structure Interactions : Slender Structures and Axial Flow', Vol. 1, Academic Press
  9. Weaver Jr., W., Timoshenko, S. P. and Young, D. H., 1990, 'Vibration Problems in Engineering', John Wiley & Sons, Inc.
  10. 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
  11. Ryu, B.-J., Jung, S.-H. and Lee, J.-W. 2000, 'Effects of Attached Masses on the Instability and Vibration Suppression of a Flexible Pipe Conveying Fluid', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 10, No. 2, pp. 280-290
  12. Librescu, L. and Song, O. S., 2006, 'Thin-walled Composite Beams : Theory and Application', Springer

피인용 문헌

  1. Flow-induced Vibration of Carbon Nanopipe with Nonlocal Effect vol.22, pp.1, 2012, https://doi.org/10.5050/KSNVE.2012.22.1.038
  2. Nonlinear stability characteristics of carbon nanotubes conveying fluids vol.224, pp.7, 2013, https://doi.org/10.1007/s00707-013-0809-2
  3. Stability Analysis of Nanopipes Considering Nonlocal Effect vol.23, pp.4, 2013, https://doi.org/10.5050/KSNVE.2013.23.4.324