Nonlinear vibration of embedded single-walled carbon nanotube with geometrical imperfection under harmonic load based on nonlocal Timoshenko beam theory

Applied Mathematics and Mechanics (English Edition)

Volumn 34, Issue 3, 2013, Pages 269-280

  Wang, Bo ^a   Deng, Zi Chen ^a,b   Zhang, Kai ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

embedded curved carbon nanotube; harmonic load; nonlinear vibration; nonlocal Timoshenko beam theory; precise integrator method

Indexed keywords

CURVED CARBON NANOTUBES; HARMONIC LOADS; NON-LINEAR VIBRATIONS; PRECISE INTEGRATOR METHOD; TIMOSHENKO BEAM THEORY;

CONTINUUM MECHANICS; DYNAMIC RESPONSE; EQUATIONS OF MOTION; INTEGRATION; ORDINARY DIFFERENTIAL EQUATIONS; PARTICLE BEAMS; SINGLE-WALLED CARBON NANOTUBES (SWCN);

HARMONIC ANALYSIS;

EID: 84876191646     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-013-1669-8     Document Type: Article

References (13)

1. Ijima, S. Helica microtubes of graphitic carbon. nature, 354(6348), 56-58 (1991)
2. Thostenson, E. T., Ren, Z. F., and Chou, T. W. Advances in the science and technology of carbon nanotubes and their composites: a review. Composites Science and Technology, 61(13), 1899-1912 (2001)
3. Eringen, A. C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics, 54(9), 4703-4710 (1983)
4. Eringen, A. C. and Edeleb, D. G. B. On nonlocal elasticity. International Journal of Engineering Science, 3(10), 233-248 (1972)
5. Wang, C. M., Tan, V. B. C., and Zhang, Y. Y. Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes. Journal of Sound and Vibration, 294(4-5), 1060-1072 (2006)
6. Murmu, T. and Pradhan, S. C. Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM. Physical E: Low-Dimensional Systems and Nanostructures, 41(7), 1232-1239 (2009)
7. Ke, L., Li, X., Yang, Y., and Kitipornchai, J. S. Nonlinear free vibration of embedded doublewalled carbon nanotubes based on nonlocal Timoshenko beam theory. Computational Materials Science, 47(2), 409-417 (2009)
8. Mesut, S. Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko theory. Steel and Composite Structures, 11(1), 59-76 (2011)
9. Berhan, L., Yi, Y. B., and Sastry, A. Effect of nanorope waviness on the effective moduli of nanotube sheets. Journal of Applied Physics, 95(9), 5027-5034 (2004)
10. Hassen, O. M. and Mohammad, Y. I. Natural frequencies and mode shapes of initially curved carbon nanotube resonators under electric excitation. Journal of Sound and Vibration, 330(13), 3182-3195 (2011)
11. Farshidianfar, A. and Soltani, P. Nonlinear flow-induced vibration of a SWCNT with a geometrical imperfection. Computational Materials Science, 53(1), 105-116 (2012)
12. Zhang, S. Y. and Deng, Z. C. Increment-dimensional precise integration method for nonlinear dynamic equation. Chinese Journal of Computational Mechanics, 20(4), 423-426 (2003)
13. Zhong, W. X. On precise integration method. Journal of Computational and Applied Mathematics, 163(1), 59-78 (2004)