The dispersion characteristics of the waves propagating in a spinning single-walled carbon nanotube

Science China: Physics, Mechanics and Astronomy

Volumn 54, Issue 10, 2011, Pages 1854-1865

  Chan, K T ^a   Pu, Zhao Ya ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; EQUATIONS OF MOTION; MACHINERY; MOLECULAR DYNAMICS; NANOTUBES; VIBRATION ANALYSIS;

20TH CENTURY; DISPERSION CHARACTERISTICS; PHASE PROPERTIES; POWER CAPACITY; ROTOR DYNAMIC; SIMULATING WAVES; SPINNING BEAM; WAVE CHARACTERISTICS;

SINGLE-WALLED CARBON NANOTUBES (SWCN);

EID: 84874947302     PISSN: 16747348     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11433-011-4476-9     Document Type: Article

References (27)

1. Fennimore A. M, Yuzvinsky T. D, Han W. Q, et al. Rotational actuators based on carbon nanotubes. Nature, 2003, 424: 408-410
2. Kis A, Zettl A. Nanomechanics of carbon nanotubes. Phil Trans R. Soc A, 2008, 366: 1592-1611
3. Li X. F, Wang B. L. Vibrational modes of Timoshenko beams at small scales. Appl Phys Lett, 2009, 94: 101903
4. Bonzair A, Tounsi A, Besseghier A, et al. The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory. J. Phys D-Appl Phys, 2008, 41: 225404
5. Wang Q, Varadan V. K. Vibration of carbon nanotubes studied using nonlocal continuum mechanics. Smart Mater Struct, 2006, 15: 659-666
6. Eringen A. C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl Phys, 1983, 54: 4703-4710
7. Adali S. Variational principles for transversely vibrating multiwalled carbon nanotubes based on nonlocal Euler-Bernoulli beam model. Nano Lett, 2009, 9: 1737-1741
8. Usuki T, Yogo K. Beam equations for multi-walled carbon nanotubes derived from Flügge shell theory. Proc R. Soc A, 2009, 465: 1199-1226
9. Natsuki T, Ni Q. Q. Wave propagation in single-and multi-walled carbon nanotubes filled with fluids. J. Appl Phys, 2007, 101: 034319
10. Lu P, Lee H. P, Lu C, et al. Dynamic properties of flexural beams using a nonlocal elasticity model. J. Appl Phys, 2006, 99: 073510
11. Chan K. T, Wang X. Q, So R. M. C, et al. Superposed standing waves in a Timoshenko beam. Proc R. Soc A, 2002, 458: 83-108
12. Wang L. F, Hu H. Y. Flexural wave propagation in single-walled carbon nanotubes. Phys Rev B, 2005, 71: 195412
13. Timoshenko S, Gere J. Mechanics of Material. New York: Van Nostrand Reinhold Company, 1972
14. Chan K. T, Stephen N. G, Reid S. R. Helical structure of the waves propagating in a spinning Timoshenko beam. Proc R. Soc A, 2005, 461: 3913-3934
15. Servantie J, Gaspard P. Rotational dynamics and friction in double-walled carbon nanotubes. Phys Rev Lett, 2006, 97: 0606234
16. Zhang S, Liu W. K, Ruoff R. S. Atomistic simulations of double-walled carbon nanotubes (DWCNTs) as rotational bearings. Nano Lett, 2003, 4: 293-297
17. Huang Z. Coaxial stability of nano-bearings constructed by double-walled carbon nanotubes. Nanotechnology, 2008, 19: 045701
18. Bishop R. E. D. The vibration of rotating shafts. J. Mech Engrg Sci, 1959, 1: 50-65
19. Bishop R. E. D, Parkinson A. G. Vibration and balancing of flexible shafts. Appl Mech Rev, 1968, 21: 439-451
20. Morton P. G. Modal balancing of flexible shaft without trial weights. Proc Inst Mech Eng C, 1985, 199: 71-78
21. Morton P. G. Measurement of the dynamic characteristics of a large sleeve bearing. Trans ASME J. Lubr, 1971, 93: 143-150
22. Choi S. H, Pierre C, Ulsoy A. G. Consistent modelling of rotating Timoshenko shafts subject to axial loads. J. Vib Acous, 1992, 114: 249-259
23. Hand L. N, Finch J. D. Analytical Mechanics. Cambridge: Cambridge University Press, 1998
24. Goldstein H. Classical Mechanics. 6th ed. Addison-Wesley, 1969
25. Zu J. W. Z, Han R. P. S. Natural frequencies and normal modes of a spinning Timoshenko beam with general boundary conditions. J. Appl Mech, 1992, 59: S197-S204
26. Argento A, Scott R. A. Elastic wave propagation in a Timoshenko beam spinning about its longitudinal axis. Wave Motion, 1995, 21: 67-74
27. Wang L. F, Guo W. L, Hu H. Y. Group velocity of wave propagation in carbon nanotubes. Proc R. Soc A, 2008, 464: 1423-1428