Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T17:28:53.192Z Has data issue: false hasContentIssue false
  • English
  • Français

Thermal-Nonlocal Vibration and Instability of Single-Walled Carbon Nanotubes Conveying Fluid

Published online by Cambridge University Press:  07 December 2011

T.-P. Chang
T.-P. Chang*
Affiliation:
Department of Construction Engineering, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan 81164, R.O.C.
*
*Professor, corresponding author
Get access

Abstract

An elastic Bernoulli–Euler beam model is developed for thermal-mechanical vibration and buckling instability of a single-walled carbon nanotube (SWCNT) conveying fluid and resting on an elastic medium by using the theories of thermal elasticity mechanics and nonlocal elasticity. The differential quadrature method is adopted to obtain the numerical solutions to the model. The effects of temperature change, nonlocal parameter and elastic medium constant on the vibration frequency and buckling instability of SWCNT conveying fluid are investigated. It can be concluded that at low or room temperature, the first natural frequency and critical flow velocity for the SWCNT increase as the temperature change increases, on the contrary, while at high temperature the first natural frequency and critical flow velocity decrease with the increase of the temperature change. The first natural frequency for the SWCNT decreases as the nonlocal parameter increases, both the first natural frequency and critical flow velocity increase with the increase of the elastic medium constant.

Keywords

Nonlocal elasticityTemperature changeVibration frequencyInstability
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 4 , December 2011 , pp. 567 - 573
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Iijima, S., “Helical Microtubules of Graphitic Carbon,” Nature, 354, pp. 56–58 (1991).CrossRefGoogle Scholar
2.Evans, E., Bowman, H., Leung, A., Needham, D. and Tirrell, D., “Biomembrane Templates for Nanoscale Conduits and Networks,” Science, 273, pp. 933–935 (1996).CrossRefGoogle ScholarPubMed
3.Gadd, G. E., Blackford, M., Moricca, S., Webb, N., Evans, P. J., Smith, A. M., Jacobsen, S., Leung, S., Day, A. and Hua, Q., “The World's Smallest Gas Cylinders?,” Science, 277, pp. 933–936 (1997).CrossRefGoogle Scholar
4.Che, G., Lakshmi, B. B., Fisher, E. R. and Martin, C. R., “Carbon Nanotubule Membranes for Electrochemical Energy Storage and Production,” Nature, 393, pp. 346–349 (1998).CrossRefGoogle Scholar
5.Liu, J., Rinzler, A. G., Dai, H., Hafner, J. H., Bradley, R. K., Boul, P. J., Lu, A., Iverson, T., Shelimov, K., Huffman, C. B., Rodriguez-Macias, F., Shon, Y.-S., Lee, T. R., Colbert, D. T. and Smalley, R. E., “Fullerene Pipes,” Science, 280, pp. 1253–1256 (1998).CrossRefGoogle ScholarPubMed
6.Karlsson, A., Karlsson, R., Karlsson, M., Cans, A.-S., Strömberg, A., Ryttsén, F. and Orwar, O., “Networks of Nanotubes and Containers,” Nature, 409, pp. 150–152 (2001).CrossRefGoogle ScholarPubMed
7.Gao, Y. and Bando, Y., “Carbon Nanothermometer Containing Gallium,” Nature, 415, p. 599 (2002).CrossRefGoogle ScholarPubMed
8.Liu, J. Z., Zheng, Q. S., Wang, L. F. and Jiang, Q., “Mechanical Properties of Single-Walled Carbon Nanotube Bundles as Bulk Materials,” Journal of Mechanics and Physics of Solids, 53, pp. 123–142 (2005).CrossRefGoogle Scholar
9.Yoon, J., Ru, C. Q. and Mioduchowski, A., “Flow-induced Flutter Instability of Cantilever Carbon Nanotubes,” International Journal of Solids and Structures, 43, pp. 3337–3349 (2006).CrossRefGoogle Scholar
10.Wang, L. and Ni, Q., “On Vibration and Instability of Carbon Nanotubes Conveying Fluid,” Computation Materials Science, 43, pp. 399–402 (2008).CrossRefGoogle Scholar
11.Wang, L., “Dynamical Behaviors of Double-Walled Carbon Nanotubes Conveying Fluid Accounting for the Role of Small Length Scale,” Computation Materials Science, 45, pp. 584–588 (2009).CrossRefGoogle Scholar
12.Lee, H. L. and Chang, W. J., “Vibration Analysis of a Viscous-Fluid-Conveying Single-Walled Carbon Nanotube Embedded in an Elastic Medium,” Physica E, 41, pp. 529–532 (2009).CrossRefGoogle Scholar
13.Yoon, J., Ru, C. Q. and Mioduchowski, A., “Vibration and Instability of Carbon Nanotubes Conveying Fluid,” Composites Science and Technology, 65, pp. 1326–1336 (2005).CrossRefGoogle Scholar
14.Reddy, C. D., Lu, C., Rajendran, S. and Liew, K. M., “Free Vibration Analysis of Fluid-Conveying Single-Walled Carbon Nanotubes,” Applied Physics Letters, 90, pp. 133122–133124 (2007).CrossRefGoogle Scholar
15.Wang, C. M., Tan, V. B. C. and Zhang, Y. Y., “Timoshenko Beam Model for Vibration Analysis of Multi-Walled Carbon Nanotubes,” Journal of Sound and Vibration, 294, pp. 1060–1072 (2006).CrossRefGoogle Scholar
16.Zhang, Y., Liu, G., and Han, X., “Transverse Vibrations of Double-Walled Carbon Nanotubes Under Compressive Axial Load,” Physics Letters A, 340, pp. 258–266 (2005).CrossRefGoogle Scholar
17.Zhang, Y. Q., Liu, X., and Liu, G. R., “Thermal Effect on Transverse Vibrations of Double-Walled Carbon Nanotubes,” Nanotechnology, 18, pp. 445701–445707 (2007).CrossRefGoogle Scholar
18.Wang, L., Ni, Q., Li, M., and Qian, Q., “The Thermal Effect on Vibration and Instability of Carbon Nanotubes Conveying Fluid,” Physica E, 40, pp. 3179–3182 (2008).CrossRefGoogle Scholar
19.Ni, B., Sinnott, S. B., Mikulski, P. T. and Harrison, J. A., “Compression of Carbon Nanotubes Filled with C 60, CH 4, or Ne: Predictions from Molecular Dynamics Simulations,” Physics Review Letters, 88, pp. 205505–205508 (2002).CrossRefGoogle ScholarPubMed
20.Li, R., and Kardomateas, G. A., “Thermal Buckling of Multi-Walled Carbon Nanotubes by Nonlocal Elasticity,” Journal of Applied Mechanics, 74, pp. 399–405 (2007).CrossRefGoogle Scholar
21.Eringen, A. C., “On Differential Equations of Nonlocal Elasticity and Solutions of Screw Dislocation and Surface Waves,” Journal of Applied Physics, 54, pp. 4703–4710 (1983).CrossRefGoogle Scholar
22.Peddieson, J., Buchanan, G. R. and McNitt, R. P., “Application of Nonlocal Continuum Models to Nanotechnology,” International Journal of Engineering Science, 41, pp. 305–312 (2003).CrossRefGoogle Scholar
23.Zhang, Y. Q., Liu, G. R. and Xie, X. Y., “Free Transverse Vibrations of Double-Walled Carbon Nanotubes Using a Theory of Nonlocal Elasticity,” Physics Review B, 71, pp. 195404–195410 (2005).CrossRefGoogle Scholar
24.Sudak, L. J., “Column Buckling of Multiwalled Carbon Nanotubes Using Nonlocal Continuum Mechanics,” Journal of Applied Physics, 94, pp. 7281–7287 (2003).CrossRefGoogle Scholar
25.Lu, P., Lee, H. P., Lu, C., and Zhang, P. Q., “Dynamic Properties of Flexural Beams Using a Nonlocal Elasticity Model,” Journal of Applied Physics, 99, pp. 073510–073518 (2006).CrossRefGoogle Scholar
26.Zhang, Y. Q., Liu, G. R. and Wang, J. S., “Small-Scale Effects on Buckling of Multiwalled Carbon Nanotubes Under Axial Compression,” Physics Review B, 70, pp. 205430–205435 (2004).CrossRefGoogle Scholar
27.Wang, C. M., Kitipornchai, S., Lim, C. W. and Eisenberger, M., “Beam Bending Solutions Based on Nonlocal Timoshenko Beam Theory,” Journal of Engineering Mechanics, 134, pp. 475–481 (2008).CrossRefGoogle Scholar
28.Murmu, T., and Pradhan, S. C., “Thermomechanical Vibration of a Single-Walled Carbon Nanotube Embedded in an Elastic Medium Based on Nonlocal Elasticity Theory,” Computation Materials Science, 46, pp. 854–589 (2009).CrossRefGoogle Scholar
29.Fu, Y. M., Hong, J. W. and Wang, X. Q., “Analysis of Nonlinear Vibration for Embedded Carbon Nanotubes,” Journal of Sound and Vibration, 296, pp. 746–756 (2006).CrossRefGoogle Scholar
30.Zhang, Y. Q., Liu, X., and Zhao, J. H., “Influence of Temperature Change on Column Buckling of Multiwalled Carbon Nanotubes,” Physics Letters A, 372, pp. 1676–1681 (2008).CrossRefGoogle Scholar
31.Bert, C. W. and Malik, M., “Differential Quadrature Method in Computational Mechanics: A Review,” Applied Mechanics Reviews, 49, pp. 1–27 (1996).CrossRefGoogle Scholar
32.Jiang, H., Liu, B., and Huang, Y., “Thermal Expansion of Single Wall Carbon Nanotubes,” Journal of Engineering Materials and Technology, 126, pp. 265–270 (2004).CrossRefGoogle Scholar
33.Yao, X. H. and Han, Q., “Buckling Analysis of Multiwalled Carbon Nanotubes Under Torsional Load Coupling with Temperature Change,” Journal of Engineering Materials and Technology, 128, pp. 419–427 (2006).CrossRefGoogle Scholar