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

Springer Science and Business Media LLC - Tập 26 - Trang 3911-3920 - 2013
Kyungjae Yun1, Jongwoon Choi2, Sung-Kyun Kim3, Ohseop Song4
1Agency for Defense Development, Yuseong-Gu, Daejeon, Korea
2Korean Intellectual Property Office, Daejeon, Korea
3Korea Atomic Energy Research Institute, Daejeon, Korea
4Mechanical Engineering Department, Chungnam National University, Daejeon, Korea

Tóm tắt

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.

Tài liệu tham khảo

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. J. Yoon, C. Q. Ru and A. Mioduchowski, Vibration and instability of carbon nanotubes conveying fluid, Composites Science and Technology, 65 (2005) 1326–1336. J. Yoon, C. Q. Ru and A. Mioduchowski, Vibration of an embedded multiwall carbon nanotube, Composites Science and Technology, 63 (2003) 1533–1542. 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. Aydogdu, Metin, Vibration of multi walled carbon nanotubes by generalized shear deformation theory, International Journal of Mechanical Sciences, 50 (2008) 837–844. C. Y. Wang, C. Q. Ru and A. Mioduchowski, Free vibration of multiwall carbon nanotubes, Journal of Applied Physics 97114323 (2005) 1–11. L. Librescu and O. S. Song, Thin walled composite beams: Theory and application, Springer (2006). 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. 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. 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. 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. 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.