A continuum elastic three-dimensional model for natural frequencies of single-walled carbon nanotubes

Composites Part B: Engineering

Volumn 61, Issue , 2014, Pages 222-228

  Brischetto, Salvatore ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

A. Nano structures; B. Vibration; C. Analytical modeling; C. Numerical analysis

Indexed keywords

EID: 84894517089     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2014.01.046     Document Type: Article

References (46)

1. S. Iijima Helical microtubules of graphitic carbon Nature 354 1991 56 58 (Pubitemid 21896780)
2. P.K. Valavala, and G.M. Odegard Modeling techniques for determination of mechanical properties of polymer nanocomposites Rev Adv Mater Sci 9 2005 34 44 (Pubitemid 40679678)
3. G. Rouainia, and K. Djeghaba Evaluation of Young's modulus of single walled carbon nanotube (SWNT) reinforced concrete composite J Eng Appl Sci 3 2008 504 515
4. C.Y. Wang, and L.C. Zhang A critical assessment of the elastic properties and effective wall thickness of single-walled carbon nanotubes Nanotechnology 19 2008 1 5
5. D. Qian, G.J. Wagner, W.K. Liu, M.F. Yu, and R.S. Ruoff Mechanics of carbon nanotubes Appl Mech Rev 55 2002 495 533
6. X. Chen, and G. Cao A structural mechanics study of single-walled carbon nanotubes generalized from atomistic simulation Nanotechnology 17 2006 1004 1015 (Pubitemid 43190495)
7. Y.G. Hu, K.M. Liew, and Q. Wang Modeling of vibrations of carbon nanotubes Proc Eng 31 2012 343 347
8. R. Ansari, S. Ajori, and B. Arash Vibrations of single- and double-walled carbon nanotubes with layerwise boundary conditions: a molecular dynamics study Curr Appl Phys 12 2012 707 711
9. R. Chowdhury, S. Adhikari, C.Y. Wang, and F. Scarpa A molecular mechanics approach for the vibration of single-walled carbon nanotubes Comput Mater Sci 48 2010 730 735
10. S.L. Das, T. Mandal, and S.S. Gupta Inextensional vibration of zig-zag single-walled carbon nanotubes using nonlocal elasticity theories Int J Solids Struct 50 2013 2792 2797
11. Y.Y. Zhang, C.M. Wang, and V.B.C. Tan Assessment of Timoshenko beam models for vibrational behavior of single-walled carbon nanotubes using molecular dynamics Adv Appl Math Mech 1 2009 89 106
12. S. Arghavan, and A.V. Singh On the vibrations of single-walled carbon nanotubes J Sound Vib 330 2011 3102 3122
13. A. Gupta, S.C. Sharma, and S.P. Harsha Vibration analysis of carbon nanotubes based mass sensor using different boundary conditions Int J Mech Eng 2 2012 8 12
14. M. Mir, A. Hosseini, and G.H. Majzoobi A numerical study of vibrational properties of single-walled carbon nanotubes Comput Mater Sci 43 2008 540 548
15. Y. Yan, G. Shi, and P. Zhao Frequency study of single-walled carbon nanotubes based on a space-frame model with flexible connections J Comput 6 2011 1125 1130
16. M. Aydogdu Axial vibration of the nanorods with the non local continuum rod model Physica E 41 2009 861 864
17. J.W. Yan, K.M. Liew, and L.H. He Free vibration analysis of single-walled carbon nanotubes using a higher-order gradient theory J Sound Vib 332 2013 3740 3755
18. T. Vodenitcharova, and L.C. Zhang Effective wall thickness of a single-walled carbon nanotube Phys Rev B 68 2003 1 4
19. G.M. Odegard, T.S. Gates, L.M. Nicholson, and K.E. Wise Equivalent-continuum modeling of nano-structured materials Compos Sci Technol 62 2002 1869 1880
20. U. Lee, and H. Oh Evaluation of the structural properties of single-walled carbon nanotubes using a dynamic continuum modeling method Mech Adv Mater Struct 15 2008 79 87 (Pubitemid 351222572)
21. L.C. Zhang On the mechanics of single-walled carbon nanotubes J Mater Process Tech 209 2009 4223 4228
22. J.V. Araújo dos Santos Effective elastic moduli evaluation of single walled carbon nanotubes using flexural vibrations Mech Adv Mater Struct 18 2011 262 271
23. A. Azrar, L. Azrar, and A.A. Aljinaidi Length scale effect analysis on vibration behavior of single walled carbon nanotubes with arbitrary boundary conditions Rev Mec Appl Theor 2 2011 475 485
24. A. Benzair, A. Tounsi, A. Besseghier, H. Heireche, N. Moulay, and L. Boumia The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory J Phys D: Appl Phys 41 2008 1 10
25. C. Demir, O. Civalek, and B. Akgöz Free vibration analysis of carbon nanotubes based on shear deformable beam theory by discrete singular convolution technique Math Comput Appl 15 2010 57 65
26. M.A. Foda Steady state vibration analysis and mitigation of single-walled carbon nanotubes based on nonlocal Timoshenko beam theory Comput Mater Sci 71 2013 38 46
27. T.L. Horng Transverse vibration analysis of single-walled carbon nanotubes embedded in an elastic medium using Bernoulli-Fourier method J Surf Eng Mate Adv Technol 2 2012 203 209
28. L. Ming, and Z. Huiming Small scale effect on thermal vibration of single-walled carbon nanotubes with nonlocal boundary condition Res J App Sci Eng Technol 5 2013 2729 2733
29. A. Swain, T. Roy, and P.K. Nanda Vibration behaviour of single walled carbon nanotube using finite element Int J Theor Appl Res Mech Eng 2 2013 129 133
30. B. Wang, Z.C. Deng, and K. Zhang Nonlinear vibration of embedded single-walled carbon nanotube with geometrical imperfection under harmonic load based on nonlocal Timoshenko beam theory Appl Math Mech 34 2013 269 280
31. B.L. Wang, and K.F. Wang Vibration analysis of embedded nanotubes using nonlocal continuum theory Compos Part B - Eng 47 2013 96 101
32. P. Soltani, A. Kassaei, M.M. Taherian, and A. Farshidianfar Vibration of wavy single-walled carbon nanotubes based on nonlocal Euler Bernoulli and Timoshenko models Int J Adv Struct Eng 4 2012 1 10
33. M. Simsek Vibration analysis of a single-walled carbon nanotube under action of a moving harmonic load based on nonlocal elasticity theory Physica E 43 2010 182 191
34. T. Murmu, and S.C. Pradhan Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM Physica E 41 2009 1232 1239
35. M. Aydogdu A general non local beam theory: its application to nanobeam bending, buckling and vibration Physica E 41 2009 1651 1655
36. M. Cinefra, E. Carrera, and S. Brischetto Refined shell models for the vibration analysis of multiwalled carbon nanotubes Mech Adv Mater Struct 18 2011 476 483
37. C.Y. Wang, and L.C. Zhang An elastic shell model for characterizing single-walled carbon nanotubes Nanotechnology 19 2008 1 6
38. A. Alibeigloo, and M. Shaban Free vibration analysis of carbon nanotubes by using three-dimensional theory of elasticity Acta Mech 224 2013 1415 1427
39. M. Mikhasev On localized modes of free vibrations of single-walled carbon nanotubes embedded in nonhomogeneous elastic medium Z Angew Math Mech 2013 1 12
40. K. Dong, S.Q. Zhu, and X. Wang Wave propagation in multiwall carbon nanotubes embedded in a matrix material Compos Struct 82 2008 1 9 (Pubitemid 47413130)
41. R. Li, and G.A. Kardomateas Vibration characteristics of multiwalled carbon nanotubes embedded in elastic media by a nonlocal elastic shell model J Appl Mech 74 2007 1087 1094
42. X. Yao, and Q. Han Torsional buckling and postbuckling equilibrium path of double-walled carbon nanotubes Compos Sci Technol 68 2008 113 120 (Pubitemid 47629770)
43. Brischetto S. Three-dimensional exact free vibration analysis of spherical, cylindrical and flat one-layered panels. Shock Vib 2014, in press.
44. S. Brischetto Exact elasticity solution for natural frequencies of functionally graded simply-supported structures CMES-Comp Model Eng 95 2013 391 430
45. Messina A. Three dimensional free vibration analysis of cross-ply laminated plates through 2D and exact models. In: Proceedings of third international conference on integrity, reliability and failure. Porto (Portugal); 2009. p. 1-18.
46. K.P. Soldatos, and J. Ye Axisymmetric static and dynamic analysis of laminated hollow cylinders composed of monoclinic elastic layers J Sound Vib 184 1995 245 259