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Volumn 37, Issue 3, 2013, Pages 1096-1107

Nonlinear vibration analysis of double-walled carbon nanotubes based on nonlocal elasticity theory

Author keywords

Geometric nonlinearity; Harmonic balance method; Nonlinear van der Waals forces; Nonlocal elasticity theory

Indexed keywords

ANALYSIS AND SIMULATION; DAVIDON-FLETCHER-POWELL; DOUBLE-WALLED CARBON NANOTUBES; ELASTIC MEDIUM; EULER BEAM THEORY; GEOMETRIC NON-LINEARITY; HAMILTON PRINCIPLE; HARMONIC BALANCE METHOD; NON-LINEAR FREE VIBRATION; NON-LINEAR VIBRATIONS; NONLINEAR VIBRATION ANALYSIS; NONLOCAL; NONLOCAL ELASTICITY; VIBRATION AMPLITUDE; WINKLER MODEL;

EID: 84870239949     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2012.03.032     Document Type: Article
Times cited : (119)

References (35)
  • 1
    • 0342819025 scopus 로고
    • Helical microtubules of graphitic carbon
    • Iijima S. Helical microtubules of graphitic carbon. Nature 1991, 354:56-58.
    • (1991) Nature , vol.354 , pp. 56-58
    • Iijima, S.1
  • 2
    • 0029911943 scopus 로고    scopus 로고
    • Nanotubes as nanoprobes in scanning probe microcopy
    • Dai H.J., Hafner J.H., Rinzler A.G., et al. Nanotubes as nanoprobes in scanning probe microcopy. Nature 1996, 384:147-150.
    • (1996) Nature , vol.384 , pp. 147-150
    • Dai, H.J.1    Hafner, J.H.2    Rinzler, A.G.3
  • 3
    • 79956008517 scopus 로고    scopus 로고
    • Single wall carbon nanotube atomic force microscope probes
    • Snow E.S., Campbell P.M., Novak J.P. Single wall carbon nanotube atomic force microscope probes. Appl. Phys. Lett. 2002, 80:2002-2004.
    • (2002) Appl. Phys. Lett. , vol.80 , pp. 2002-2004
    • Snow, E.S.1    Campbell, P.M.2    Novak, J.P.3
  • 4
    • 79956023354 scopus 로고    scopus 로고
    • Carbon nanotube electron emitters with a gated structure using backside exposure processes
    • Chung D.S., Lee S.H., Choi H.W., et al. Carbon nanotube electron emitters with a gated structure using backside exposure processes. Appl. Phys. Lett. 2002, 80:4045-4047.
    • (2002) Appl. Phys. Lett. , vol.80 , pp. 4045-4047
    • Chung, D.S.1    Lee, S.H.2    Choi, H.W.3
  • 5
    • 0030840470 scopus 로고    scopus 로고
    • Nanotube nanodevices
    • Collins P.G., Zettl A., Bando H., et al. Nanotube nanodevices. Science 1997, 278:100-103.
    • (1997) Science , vol.278 , pp. 100-103
    • Collins, P.G.1    Zettl, A.2    Bando, H.3
  • 6
    • 0036472159 scopus 로고    scopus 로고
    • Calculation of pull-in voltages for carbon-nanotube-based nanoelectromechnical switches
    • Dequesnes M., Rotkin S.V., Aluru N.R. Calculation of pull-in voltages for carbon-nanotube-based nanoelectromechnical switches. Nanotechnology 2002, 13:120-131.
    • (2002) Nanotechnology , vol.13 , pp. 120-131
    • Dequesnes, M.1    Rotkin, S.V.2    Aluru, N.R.3
  • 7
    • 0032492884 scopus 로고    scopus 로고
    • Room-temperature transistor based on a single carbon nanotube
    • Tans S.J., Verschueren A.R.M., Dekker C. Room-temperature transistor based on a single carbon nanotube. Nature 1998, 393:49-52.
    • (1998) Nature , vol.393 , pp. 49-52
    • Tans, S.J.1    Verschueren, A.R.M.2    Dekker, C.3
  • 8
    • 0033587130 scopus 로고    scopus 로고
    • Nanotube composites: a recipe for strength
    • Calvert P. Nanotube composites: a recipe for strength. Nature 1999, 399:210-211.
    • (1999) Nature , vol.399 , pp. 210-211
    • Calvert, P.1
  • 9
    • 0034670813 scopus 로고    scopus 로고
    • Column buckling of multiwalled carbon nanotubes with interlayer radial displacements
    • Ru C.Q. Column buckling of multiwalled carbon nanotubes with interlayer radial displacements. Phys. Rev. B. 2000, 62(24):16962-16967.
    • (2000) Phys. Rev. B. , vol.62 , Issue.24 , pp. 16962-16967
    • Ru, C.Q.1
  • 10
    • 0041344575 scopus 로고    scopus 로고
    • Vibration of an embedded multiwall carbon nanotube
    • Yoon J., Ru C.Q., Mioduchowski A. Vibration of an embedded multiwall carbon nanotube. Compos. Sci. Technol. 2003, 63:1533-1542.
    • (2003) Compos. Sci. Technol. , vol.63 , pp. 1533-1542
    • Yoon, J.1    Ru, C.Q.2    Mioduchowski, A.3
  • 11
    • 47049115369 scopus 로고    scopus 로고
    • Vibrations of double-walled carbon nanotubes with different boundary conditions between inner and outer tubes
    • Xu K.Y., Aifantis E.C., Yan Y.H. Vibrations of double-walled carbon nanotubes with different boundary conditions between inner and outer tubes. J. Appl. Mech. 2008, 75(2):021013.
    • (2008) J. Appl. Mech. , vol.75 , Issue.2 , pp. 021013
    • Xu, K.Y.1    Aifantis, E.C.2    Yan, Y.H.3
  • 12
    • 33846339772 scopus 로고    scopus 로고
    • Buckling and postbuckling of single-walled carbon nanotubes under combined axial compression and torsion in thermal environments
    • Zhang C.L., Shen H.S. Buckling and postbuckling of single-walled carbon nanotubes under combined axial compression and torsion in thermal environments. Phys. Rev. B. 2007, 75:045408.
    • (2007) Phys. Rev. B. , vol.75 , pp. 045408
    • Zhang, C.L.1    Shen, H.S.2
  • 13
    • 33846255465 scopus 로고    scopus 로고
    • The thermal effect on axially compressed buckling of a double-walled carbon nanotube
    • Yao X.H., Han Q. The thermal effect on axially compressed buckling of a double-walled carbon nanotube. Eur. J. Mech. A Solid 2007, 26:298-312.
    • (2007) Eur. J. Mech. A Solid , vol.26 , pp. 298-312
    • Yao, X.H.1    Han, Q.2
  • 14
    • 34548435592 scopus 로고    scopus 로고
    • Flow-induced instability of double-walled carbon nanotubes based on an elastic shell model
    • Yan Y., He X.Q., Zhang L.X., Wang Q. Flow-induced instability of double-walled carbon nanotubes based on an elastic shell model. J. Appl. Phys. 2007, 102(1-8):044307.
    • (2007) J. Appl. Phys. , vol.102 , Issue.1-8 , pp. 044307
    • Yan, Y.1    He, X.Q.2    Zhang, L.X.3    Wang, Q.4
  • 15
    • 70249108075 scopus 로고    scopus 로고
    • Vibration and instability analysis of tubular nano-and micro-beams conveying fluid using nonlocal elastic theory
    • Wang L. Vibration and instability analysis of tubular nano-and micro-beams conveying fluid using nonlocal elastic theory. Physica E 2009, 41:1835-1840.
    • (2009) Physica E , vol.41 , pp. 1835-1840
    • Wang, L.1
  • 16
    • 55549106774 scopus 로고    scopus 로고
    • Dynamic behavior of triple-walled carbon nanotubes conveying fluid
    • Yan Y., He X.Q., Zhang L.X., Wang C.M. Dynamic behavior of triple-walled carbon nanotubes conveying fluid. J. Sound Vib. 2009, 319:1003-1018.
    • (2009) J. Sound Vib. , vol.319 , pp. 1003-1018
    • Yan, Y.1    He, X.Q.2    Zhang, L.X.3    Wang, C.M.4
  • 17
    • 55549135357 scopus 로고    scopus 로고
    • Dynamical behaviors of fluid-conveyed multi-walled carbon nanotubes
    • Yan Y., Wang W.Q., Zhang L.X. Dynamical behaviors of fluid-conveyed multi-walled carbon nanotubes. Appl. Math. Model. 2009, 33:1430-1440.
    • (2009) Appl. Math. Model. , vol.33 , pp. 1430-1440
    • Yan, Y.1    Wang, W.Q.2    Zhang, L.X.3
  • 18
    • 0001996503 scopus 로고
    • Nonlocal polar elastic continua
    • Eringen A.C. Nonlocal polar elastic continua. Int. J. Eng. Sci. 1972, 10(1):1-16.
    • (1972) Int. J. Eng. Sci. , vol.10 , Issue.1 , pp. 1-16
    • Eringen, A.C.1
  • 19
    • 0020821706 scopus 로고
    • On differential equations of nonlocal elasticity and solutions of screw dislocation and surface wave
    • Eringen A.C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface wave. J. Appl. Phys. 1983, 54:4703-4710.
    • (1983) J. Appl. Phys. , vol.54 , pp. 4703-4710
    • Eringen, A.C.1
  • 21
    • 0037338249 scopus 로고    scopus 로고
    • Application of nonlocal continuum models to nanotechnology
    • Peddieson J., Buchanan G.R., McNitt R.P. Application of nonlocal continuum models to nanotechnology. Int. J. Eng. Sci. 2003, 41(3):305-312.
    • (2003) Int. J. Eng. Sci. , vol.41 , Issue.3 , pp. 305-312
    • Peddieson, J.1    Buchanan, G.R.2    McNitt, R.P.3
  • 22
    • 27844587686 scopus 로고    scopus 로고
    • Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity
    • Zhang Y.Q., Liu G.R., Han X. Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity. Phys. Rev. B. 2005, 71(1-7):195404.
    • (2005) Phys. Rev. B. , vol.71 , Issue.1-7 , pp. 195404
    • Zhang, Y.Q.1    Liu, G.R.2    Han, X.3
  • 23
    • 34447634709 scopus 로고    scopus 로고
    • Nonlocal theories for bending, buckling and vibration of beams
    • Reddy J.N. Nonlocal theories for bending, buckling and vibration of beams. Int. J. Eng. Sci. 2007, 45:288-307.
    • (2007) Int. J. Eng. Sci. , vol.45 , pp. 288-307
    • Reddy, J.N.1
  • 24
    • 34047097760 scopus 로고    scopus 로고
    • Application of nonlocal beam models for carbon nanotubes
    • Lu P., Lee H.P., Lu C., Zhang P.Q. Application of nonlocal beam models for carbon nanotubes. Int. J. Solids. Struct. 2007, 44:5289-5300.
    • (2007) Int. J. Solids. Struct. , vol.44 , pp. 5289-5300
    • Lu, P.1    Lee, H.P.2    Lu, C.3    Zhang, P.Q.4
  • 25
    • 69749085454 scopus 로고    scopus 로고
    • Nonlocal elastic beam models for flexural wave propagation in double-walled carbon nanotubes
    • Hu Y.G., Liew K.M., Wang Q. Nonlocal elastic beam models for flexural wave propagation in double-walled carbon nanotubes. J. Appl. Phys. 2009, 106(1-6):044301.
    • (2009) J. Appl. Phys. , vol.106 , Issue.1-6 , pp. 044301
    • Hu, Y.G.1    Liew, K.M.2    Wang, Q.3
  • 26
    • 61849089885 scopus 로고    scopus 로고
    • Dynamical behaviors of double-walled carbon nanotubes conveying fluid accounting for the role of small length scale
    • Wang L. Dynamical behaviors of double-walled carbon nanotubes conveying fluid accounting for the role of small length scale. Comput. Mater. Sci. 2009, 45:584-588.
    • (2009) Comput. Mater. Sci. , vol.45 , pp. 584-588
    • Wang, L.1
  • 27
    • 33947313177 scopus 로고    scopus 로고
    • Exact variational nonlocal stress modeling with asymptotic higher-order strain gradients for nanobeams
    • Lim C.W., Wang C.M. Exact variational nonlocal stress modeling with asymptotic higher-order strain gradients for nanobeams. J. Appl. Phys. 2007, 101(1-7):054312.
    • (2007) J. Appl. Phys. , vol.101 , Issue.1-7 , pp. 054312
    • Lim, C.W.1    Wang, C.M.2
  • 28
    • 33645669648 scopus 로고    scopus 로고
    • Vibration of a double-walled carbon nanotube aroused by nonlinear intertube van der Waals forces
    • Xu K.Y., Guo X.N., Ru C.Q. Vibration of a double-walled carbon nanotube aroused by nonlinear intertube van der Waals forces. J. Appl. Phys. 2006, 99(1-7):064303.
    • (2006) J. Appl. Phys. , vol.99 , Issue.1-7 , pp. 064303
    • Xu, K.Y.1    Guo, X.N.2    Ru, C.Q.3
  • 29
    • 33745995386 scopus 로고    scopus 로고
    • Analysis of nonlinear vibration for embedded carbon nanotubes
    • Fu Y.M., Hong J.W., Wang X.Q. Analysis of nonlinear vibration for embedded carbon nanotubes. J. Sound Vib. 2006, 296:746-756.
    • (2006) J. Sound Vib. , vol.296 , pp. 746-756
    • Fu, Y.M.1    Hong, J.W.2    Wang, X.Q.3
  • 30
    • 67651014961 scopus 로고    scopus 로고
    • Nonlinear dynamic instability of double-walled carbon nanotubes under periodic excitation
    • Fu Y.M., Bi R.G., Zhang P. Nonlinear dynamic instability of double-walled carbon nanotubes under periodic excitation. Acta Mech. Solid Sin. 2009, 22(3):206-212.
    • (2009) Acta Mech. Solid Sin. , vol.22 , Issue.3 , pp. 206-212
    • Fu, Y.M.1    Bi, R.G.2    Zhang, P.3
  • 31
    • 45149093478 scopus 로고    scopus 로고
    • Dynamical mode transitions of simply supported double-walled carbon nanotubes based on an elastic shell model
    • Yan Y., Zhang L.X., Wang W.Q. Dynamical mode transitions of simply supported double-walled carbon nanotubes based on an elastic shell model. J. Appl. Phys. 2008, 103(1-6):113523.
    • (2008) J. Appl. Phys. , vol.103 , Issue.1-6 , pp. 113523
    • Yan, Y.1    Zhang, L.X.2    Wang, W.Q.3
  • 32
    • 67349246075 scopus 로고    scopus 로고
    • Analysis of nonlinear vibrations of double-walled carbon nanotubes conveying fluid
    • Kuang Y.D., He X.Q., Chen C.Y., Li G.Q. Analysis of nonlinear vibrations of double-walled carbon nanotubes conveying fluid. Comput. Mater. Sci. 2009, 45:875-880.
    • (2009) Comput. Mater. Sci. , vol.45 , pp. 875-880
    • Kuang, Y.D.1    He, X.Q.2    Chen, C.Y.3    Li, G.Q.4
  • 33
    • 70449631050 scopus 로고    scopus 로고
    • Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory
    • Ke L.L., Xiang Y., Yang J., Kitipornchai S. Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory. Comput. Mater. Sci. 2009, 47(2):409-417.
    • (2009) Comput. Mater. Sci. , vol.47 , Issue.2 , pp. 409-417
    • Ke, L.L.1    Xiang, Y.2    Yang, J.3    Kitipornchai, S.4
  • 34
    • 70249087357 scopus 로고    scopus 로고
    • Nonlinear vibration and stability analysis of axially loaded embedded carbon nanotubes conveying fluid
    • Rasekh M., Khadem S.E. Nonlinear vibration and stability analysis of axially loaded embedded carbon nanotubes conveying fluid. J. Phys. D: Appl. Phys. 2009, 42(1-8):135112.
    • (2009) J. Phys. D: Appl. Phys. , vol.42 , Issue.1-8 , pp. 135112
    • Rasekh, M.1    Khadem, S.E.2
  • 35
    • 77952000448 scopus 로고    scopus 로고
    • Variational principles for multi-walled carbon nanotubes undergoing non-linear vibrations by semi-inverse method
    • Adali S. Variational principles for multi-walled carbon nanotubes undergoing non-linear vibrations by semi-inverse method. Micro Nano Lett. 2009, 4(4):198-203.
    • (2009) Micro Nano Lett. , vol.4 , Issue.4 , pp. 198-203
    • Adali, S.1


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