Skip to main content
SpringerLink
Log in

Flow-induced vibration and stability analysis of multi-wall carbon nanotubes

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The free vibration and flow-induced flutter instability of cantilever multi-wall carbon nanotubes conveying fluid are investigated and the nanotubes are modeled as thin-walled beams. The non-classical effects of the transverse shear, rotary inertia, warping inhibition, and van der Waals forces between two walls are incorporated into the structural model. The governing equations and associated boundary conditions are derived using Hamilton’s principle. A numerical analysis is carried out by using the extended Galerkin method, which enables us to obtain more accurate solutions compared to the conventional Galerkin method. Cantilevered carbon nanotubes are damped with decaying amplitude for a flow velocity below a certain critical value. However, beyond this critical flow velocity, flutter instability may occur. The variations in the critical flow velocity with respect to both the radius ratio and length of the carbon nanotubes are investigated and pertinent conclusions are outlined. The differences in the vibration and instability characteristics between the Timoshenko beam theory and Euler beam theory are revealed. A comparative analysis of the natural frequencies and flutter characteristics of MWCNTs and SWCNTs is also performed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Yoon, C. Q. Ru and A. Mioduchowski, Flow-induced flutter instability of cantilever carbon nanotubes, International Journal of Solids and Structures, 43 (2006) 3337–3349.

    Article  MATH  Google Scholar 

  2. J. Yoon, C. Q. Ru and A. Mioduchowski, Vibration and instability of carbon nanotubes conveying fluid, Composites Science and Technology, 65 (2005) 1326–1336.

    Article  Google Scholar 

  3. J. Yoon, C. Q. Ru and A. Mioduchowski, Vibration of an embedded multiwall carbon nanotube, Composites Science and Technology, 63 (2003) 1533–1542.

    Article  Google Scholar 

  4. C. M. Wang, V. B. C Tan and Y. Y. Zhang, Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes, Journal of Sound and Vibration, 294 (2006) 1060–1072.

    Article  Google Scholar 

  5. Aydogdu, Metin, Vibration of multi walled carbon nanotubes by generalized shear deformation theory, International Journal of Mechanical Sciences, 50 (2008) 837–844.

    Article  Google Scholar 

  6. C. Y. Wang, C. Q. Ru and A. Mioduchowski, Free vibration of multiwall carbon nanotubes, Journal of Applied Physics 97114323 (2005) 1–11.

    Google Scholar 

  7. L. Librescu and O. S. Song, Thin walled composite beams: Theory and application, Springer (2006).

  8. J. W. Choi and O. S. Song, Stability analysis of composite material pipes conveying fluid, Transactions of the Korean Society for Noise and Vibration Engineering, 11(8) (2001) 314–321.

    Google Scholar 

  9. J. W. Choi, B. R. Gil and O. S. Song, Flow-induced vibration of carbon nanotubes conveying fluid, Transactions of the Korean Society for Noise and Vibration Engineering, 11(8) (2008) 654–662.

    Google Scholar 

  10. Chunyu Li and Tsu-Wei Chou, Elastic moduli of multiwalled carbon nanotubes and the effect of van der waals forces, Composites of Science and Technology 63 (2003) 1517–1524.

    Article  Google Scholar 

  11. X. Y. Wang, C. L. Xu and X. Wang, Radial breathing vibration of multiwall carbon nanotubes based on a rigorous van der waals interaction, Modeling and Simulation in Materials Science and Engineering, 14 (2006) 759–773.

    Article  Google Scholar 

  12. X. Q. He, M. Eisenberger and K. M. Liew, The Effect of van der waals interaction modeling on the vibration characteristics of multiwalled carbon nanotubes, Journal of Applied Physics 100 (2006) 1–12.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Agency for Defense Development, Yuseong-gu, Daejeon, 305-152, Korea

    Kyungjae Yun

  2. Korean Intellectual Property Office, Daejeon, 302-701, Korea

    Jongwoon Choi

  3. Korea Atomic Energy Research Institute, Daejeon, 305-353, Korea

    Sung-Kyun Kim

  4. Mechanical Engineering Department, Chungnam National University, Daejeon, 305-764, Korea

    Ohseop Song

Authors
  1. Kyungjae Yun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jongwoon Choi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sung-Kyun Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ohseop Song
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ohseop Song.

Additional information

Recommended by Editor Yeon June Kang

Kyung Jae Yun received his B.S. and M.S. degrees from the Department of Mechanical Engineering at Hanynag University in 1999 and 2001, respectively. His Ph.D. was awarded by the Department of Mechanical Engineering, Chungnam National University in 2011. He is currently a researcher in ADD (Agency for Defense Development), Korea. His research interests include structural vibration and its control.

Jong Woon Choi received his B.S. and M.S. degrees from the Department of Mechanical Engineering at Chungnam National University in 1998 and 2000, respectively. His Ph.D. was awarded by the Department of Mechanical Engineering, Chungnam National University in 2009. He is currently a patent examiner in the Korean Intellectual Property Office, Korea. His research interest includes the vibration and stability analysis of CNTs considering nonlocal effect.

Sung-Kyun Kim received his Ph.D. degree from the Department of Mechanical Engineering in 2010 at Chungnam National University in Korea. He is a senior researcher in KAERI (Korea Atomic Energy Research Institute) since 2002. His research interests are vibration analysis of composite thin-walled beam, plate and shell, magneto-electrothermo-elastic interacting vibration problem, and mechanical design of sodium fast nuclear reactors.

Ohseop Song is a professor in the Mechanical Engineering Department, Chungnam National University in Korea. He received his B.S. in Mechanical Design Engineering from Seoul National University in 1978. He then obtained his Ph.D. in 1990 from Virginia Polytechnic Institute and State University, USA. His major fields of research include the smart materials and structures, electromagnetic-thermo-elastic interaction in composite structures, and rotor dynamics.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yun, K., Choi, J., Kim, SK. et al. Flow-induced vibration and stability analysis of multi-wall carbon nanotubes. J Mech Sci Technol 26, 3911–3920 (2012). https://doi.org/10.1007/s12206-012-0888-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-012-0888-3

Keywords

Search

Navigation