Free vibration analysis of single-walled carbon nanotubes using a higher-order gradient theory

Journal of Sound and Vibration

Volumn 332, Issue 15, 2013, Pages 3740-3755

  Yan, J W ^a,b,c   Liew, K M ^a,c   He, L H ^b,c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c University of Science and Technology of China   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMISTIC SIMULATIONS; COMPUTATIONAL FRAMEWORK; FREE VIBRATION CHARACTERISTIC; FREE-VIBRATION ANALYSIS; FUNDAMENTAL FREQUENCIES; HIGHER-ORDER GRADIENT THEORIES; MOVING KRIGING INTERPOLATIONS; SINGLE-WALLED CARBON NANOTUBE (SWCNTS);

CHIRALITY; INTERPOLATION; NATURAL FREQUENCIES; SINGLE-WALLED CARBON NANOTUBES (SWCN); VIBRATION ANALYSIS;

TUBES (COMPONENTS);

EID: 84876937910     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2013.02.004     Document Type: Article

References (44)

1. O. Lourie, and H.D. Wagner Evaluation of Young's modulus of carbon nanotubes by micro-Raman spectroscopy Journal of Materials Research 13 1998 2418 2422
2. M.M.J. Treacy, T.W. Ebbesen, and J.M. Gibson Exceptionally high Young's modulus observed for individual carbon nanotubes Nature 381 1996 678 680
3. A. Krishnan, E. Dujardin, T.W. Ebbesen, P.N. Yianilos, and M.M.J. Treacy Young's modulus of single-walled nanotubes Physical Review B 58 1998 14013 14019
4. E.W. Wong, P.E. Sheehan, and C.M. Lieber Nanobeam mechanics: Elasticity, strength and toughness of nanorods and nanotubes Science 277 1997 1971 1975
5. J.P. Salvetat, J.M. Bonard, N.H. Thomson, A.J. Kulik, L. Forro, W. Benoit, and L. Zuppiroli Mechanical properties of carbon nanotubes Applied Physics A 69 1999 255 260
6. P. Poncharal, Z.L. Wang, D. Ugarte, and W.A. de Heer Electrostatic deflections and electromechanical resonances of carbon nanotubes Science 283 1999 1513 1516
7. K.M. Liew, C.H. Wong, X.Q. He, M.J. Tan, and S.A. Meguid Nanomechanics of single and multiwalled carbon nanotubes Physical Review B 69 2004 115429
8. K.M. Liew, X.Q. He, and C.H. Wong On the study of elastic and plastic properties of multi-walled carbon nanotubes under axial tension using molecular dynamics simulation Acta Materialia 52 2004 2521 2527
9. C. Feng, and K.M. Liew Energetics and structures of carbon nanorings Carbon 47 2009 1664 1669
10. C. Feng, and K.M. Liew A molecular mechanics analysis of the buckling behavior of carbon nanorings under tension Carbon 47 2009 3508 3514
11. J.H. Yuan, and K.M. Liew Effects of vacancy defect reconstruction on the elastic properties of carbon nanotubes Carbon 47 2009 1526 1533
12. K.M. Liew, J.W. Yan, Y.Z. Sun, and L.H. He Investigation of temperature effect on the mechanical properties of single-walled carbon nanotubes Composite Structures 93 2011 2208 2212
13. C. Li, C.W. Lim, and J.L. Yu Dynamics and stability of transverse vibrations of nonlocal nanobeams with a variable axial load Smart Materials and Structures 20 2011 015023
14. C. Li, and T.W. Chou Single-walled carbon nanotubes as ultrahigh frequency nanomechanical resonators Physical Review B 68 2003 073405-1-3
15. C. Li, and T.W. Chou Vibrational behaviors of multiwalled-carbon- nanotube-based nanomechanical resonators Applied Physics Letters 84 2004 121 123
16. 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 124317-1-12
17. T. Natsuki, M. Endo, and H. Tsuda Vibration analysis of embedded carbon nanotubes using wave propagation approach Journal of Applied Physics 99 2006 034311-1-6
18. Q. Wang, and V.K. Varadan Vibration of carbon nanotubes studied using nonlocal continuum mechanics Smart Materials and Structures 15 2006 659 666
19. P. Lu, H.P. Lee, C. Lu, and P.Q. Zhang Application of nonlocal beam models for carbon nanotubes International Journal of Solids and Structures 44 2007 5289 5300
20. J.C. Hsu, R.P. Chang, and W.J. Chang Resonance frequency of chiral single-walled carbon nanotubes using Timoshenko beam theory Physics Letters A 372 2008 2757 2759
21. T. Natsuki, Q.Q. Ni, and M. Endo Analysis of the vibration characteristics of double-walled carbon nanotubes Carbon 46 2008 1570 1573
22. J. Yang, L.L. Ke, and S. Kitipornchai Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory Physica E 42 2010 1727 1735
23. L. Wang, Q. Ni, M. Li, and Q. Qian The thermal effect on vibration and instability of carbon nanotubes conveying fluid Physica E 40 2008 3179 3182
24. Y. Yan, X.Q. He, L.X. Zhang, and C.M. Wang Dynamic behavior of triple-walled carbon nanotubes conveying fluid Journal of Sound and Vibration 319 2009 1003 1018
25. W.J. Chang, and H.L. Lee Free vibration of a single-walled carbon nanotube containing a fluid flow using the Timoshenko beam model Physics Letters A 373 2009 982 985
26. R. Chowdhury, S. Adhikari, C.Y. Wang, and F. Scarpa A molecular mechanics approach for the vibration of single-walled carbon nanotubes Computational Materials Science 48 2010 730 735
27. S.K. Georgantzinos, and N.K. Anifantis Vibration analysis of multi-walled carbon nanotubes using a spring-mass based finite element model Computational Materials Science 47 2009 168 177
28. K. Hashemnia, M. Farid, and R. Vatankhah Vibrational analysis of carbon nanotubes and graphene sheets using molecular structural mechanics approach Computational Materials Science 47 2009 79 85
29. C.D. Reddy, S. Rajendran, and K.M. Liew Vibration properties of single-walled carbon nanotubes-a comparison between the atomistic simulations and continuum shell modeling Journal of Computational and Theoretical Nanoscience 7 2010 1400 1406
30. L. Gu Moving kriging interpolation and element-free Galerkin method International Journal for Numerical Methods in Engineering 56 2003 1 11
31. P. Tonsuk, and W. Kanok-Nukulchai Further investigation of element-free Galerkin method using moving kriging interpolation International Journal of Computational Methods 1 2004 345 365
32. V. Sayakourmmane, and W. Kanok-Nukulchai A meshless analysis of shells based on moving Kringing interpolation International Journal of Computational Methods 4 2007 543 565
33. T.Q. Bui, T.N. Nguyen, and H. Nguyen-Dang A moving kriging interpolation-based meshless method for numerical simulation of Kirchhoff plate problems International Journal for Numerical Methods in Engineering 77 2009 1371 1395
34. M. Arroyo, and T. Belytschko Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes International Journal for Numerical Methods in Engineering 59 2004 419 456
35. Y.Z. Sun, and K.M. Liew Mesh-free simulation of single-walled carbon nanotubes using higher order Cauchy-Born rule Computational Materials Science 42 2008 444 452
36. Y.Z. Sun, and K.M. Liew The buckling of single-walled carbon nanotubes upon bending: The higher order gradient continuum and mesh-free method Computer Methods in Applied Mechanics and Engineering 197 2008 3001 3013
37. Y.Z. Sun, and K.M. Liew Application of the higher-order Cauchy-Born rule in mesh-free continuum and multiscale simulation of carbon nanotubes International Journal for Numerical Methods in Engineering 75 2008 1238 1258
38. J.W. Yan, K.M. Liew, and L.H. He Analysis of single-walled carbon nanotubes using the moving Kriging interpolation Computer Methods in Applied Mechanics and Engineering 229-232 2012 56 67
39. J. Tersoff New empirical approach for the structure and energy of covalent systems Physical Review B 37 1988 6991 7000
40. D.W. Brenner Empirical potential for hydrocarbons for use in simulating the chemical vapour deposition of diamond films Physical Review B 42 1990 9458 9471
41. X. Guo, J.B. Wang, and H.W. Zhang Mechanical properties of single-walled carbon nanotubes based on higher order Cauchy-Born rule International Journal of Solids and Structures 43 2006 1276 1290
42. J.B. Wang, X. Guo, H.W. Zhang, L. Wang, and J.B. Liao Energy and mechanical properties of single-walled carbon nanotubes predicted using the higher order Cauchy-Born rule Physical Review B 73 2006 115428-1-9
43. C.D. Reddy, S. Rajendran, and K.M. Liew Equilibrium configuration and continuum elastic properties of finite sized grapheme Nanotechnology 17 2006 864-70
44. R. Chowdhury, S. Adhikari, F. Scarpa, and M.I. Friswell Transverse vibration of single layer grapheme sheets Journal of Physics D: Applied Physics 44 2011 205401