Vibration analysis of elastically restrained double-walled carbon nanotubes on elastic foundation subjected to axial load using nonlocal shear deformable beam theories

International Journal of Mechanical Sciences

Volumn 68, Issue , 2013, Pages 16-34

  Kiani, Keivan ^a  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Double walled carbon nanotubes (DWCNTs); Free transverse vibration; Nonlocal higher order beam theory; Nonlocal Rayleigh beam theory; Nonlocal Timoshenko beam theory; Reproducing kernel particle method (RKPM)

Indexed keywords

DOUBLE-WALLED CARBON NANOTUBES; HIGHER-ORDER BEAM THEORIES; RAYLEIGH BEAMS; REPRODUCING KERNEL PARTICLE METHOD; TIMOSHENKO BEAM THEORY; TRANSVERSE VIBRATIONS;

AXIAL FLOW; BOUNDARY CONDITIONS; CONTINUUM MECHANICS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; NATURAL FREQUENCIES; STIFFNESS MATRIX; TUBES (COMPONENTS); VAN DER WAALS FORCES; VIBRATION ANALYSIS;

CARBON NANOTUBES;

EID: 84875225909     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2012.11.011     Document Type: Article

References (32)

1. A.C. Eringen Nonlocal polar elastic continua Int J Eng Sci 10 1972 1 16
2. A.C. Eringen On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves J Appl Phys 54 1983 4703 4710
3. A.C. Eringen Nonlocal continuum field theories 2002 Springer-Verlag New York
4. J. Yoon, C.Q. Ru, and A. Mioduchowski Noncoaxial resonance of an isolated multiwall carbon nanotube Phys Rev B 66 1-4 2002 233401
5. J. Yoon, C.Q. Ru, and A. Mioduchowski Vibrations of an embedded multiwall carbon nanotube Compos Sci Technol 63 2003 1533 1542
6. J. Yoon, C.Q. Ru, and A. Mioduchowski Timoshenko-beam effects on transverse wave propagation in carbon nanotubes Compos Part B: Eng 35 2004 87 93
7. Y. Zhang, G. Liu, and X. Han Transverse vibrations of double-walled carbon nanotubes under compressive axial load Phys Lett A 340 2005 258 266
8. C.M. Wang, V.B.C. Tan, and Y.Y. Zhang Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes J Sound Vib 294 2006 1060 1072
9. C. Sun, and K. Liu Vibration of multi-walled carbon nanotubes with initial axial loading Solid State Commun 143 2007 202 207
10. K. Dong, and X. Wang Wave propagation in carbon nanotubes embedded in an elastic matrix Arch Appl Mech 77 2007 575 586
11. T. Natsuki, Q.Q. Ni, and M. Endo Analysis of the vibration characteristics of double-walled carbon nanotubes Carbon 46 2008 1570 1573
12. 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
13. M. Aydogdu Vibration of multi-walled carbon nanotubes by generalized shear deformation theory Int J Mech Sci 50 2008 837 844
14. M. Aydogdu Effects of shear deformation on vibration of double-walled carbon nanotubes embedded in an elastic medium Arch Appl Mech 78 2008 711 723
15. J. Peddieson, G.R. Buchanan, and R.P. McNitt Application of nonlocal continuum models to nanotechnology Int J Eng Sci 41 2003 305 312
16. Y.Q. Zhang, G.R. Liu, and X.Y. Xie Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity Phys Rev B 71 1-7 2005 195404
17. Q. Wang, G.Y. Zhou, and K.C. Lin Scale effect on wave propagation of double-walled carbon nanotubes Int J Solids Struct 43 2006 6071 6084
18. Q. Wang, and A.K. Varadan Vibration of carbon nanotubes studied using nonlocal continuum mechanics Smart Mater Struct 15 2006 659 666
19. P. Lu, H.P. Lee, C. Lu, and P.Q. Zhang Application of nonlocal beam models for carbon nanotubes Int J Solids Struct 44 2007 5289 5300
20. M.C. Ece, and M. Aydogdu Nonlocal elasticity effect on vibration of in-plane loaded double-walled carbon nano-tubes Acta Mech 190 2007 185 195
21. X.F. Li, B.L. Wang, and Y.W. Mai Effects of a surrounding elastic medium on flexural waves propagating in carbon nanotubes via nonlocal elasticity J Appl Phys 103 1-9 2008 074309
22. Y.G. Hu, K.M. Liew, Q. Wang, X.Q. He, and B.I. Yakobson Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes J Mech Phys Solids 56 2008 3475 3485
23. W.K. Liu, S. Jun, S. Li, J. Adee, and T. Belytschko Reproducing kernel particle methods for structural dynamics Int J Numer Meth Eng 38 1995 1655 1679
24. W.K. Liu, S. Jun, and Y.F. Zhang Reproducing kernel particle methods Int J Numer Meth Fluids 38 1995 1655 1679
25. K. Kiani, A. Nikkhoo, and B. Mehri Prediction capabilities of classical and shear deformable beam theories excited by a moving mass J Sound Vib 320 2009 632 648
26. K. Kiani, and A. Nikkhoo On the limitations of linear beams for the problems of moving mass-beam interaction using a meshless method Acta Mech Sin 28 1 2011 164 179
27. K. Kiani A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect Int J Mech Sci 52 10 2010 1343 1356
28. K. Kiani, H. Ghaffari, and B. Mehri Application of elastically supported single-walled carbon nanotubes for sensing arbitrarily attached nano-objects Curr Appl Phys 13 2013 107 120
29. K. Kiani Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle. Part I theoretical formulations Acta Mech 216 2011 165 195
30. H. Zhang, S.Y. Zhang, and T.H. Wang Flexural vibration analyses of piezoelectric ceramic tubes with mass loads in ultrasonic actuators Ultrasonics 47 2007 82 89
31. K. Kiani Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle. Part II parametric study Acta Mech 216 2011 197 206
32. 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 J Appl Phys 100 2006 124317