Dynamic stability of carbon nanotubes

• Autorzy: Tylikowski A.
• Języki publikacji: EN

Abstrakty

EN

The dynamical stability of carbon nanotubes embedded in an elastic matrix under time-dependent axial loading is studied in this paper. Effects of van der Waals interaction forces between the inner and outer walls of nanotubes are taken into account. Using continuum mechanics an elastic beam model is applied to solve the transverse parametric vibrations of two co-axial carbon nanotubes. The physically realizable forces with known probability distributions and uniformly distributed on the both beam edges are assumed as the tube axial loadings. The energy-like functionals are used in the stability analysis. The emphasis is placed on a qualitative analysis of dynamic stability problem. Influence of constant component of axial forces on stability regions is shown. Boundaries of dynamic stability regions are determined using the three models and techniques with different degree of accuracy.

Słowa kluczowe

EN

parametric vibration; dynamic stability of shells; carbon nanotube; Liapunov method

PL

drgania parametryczne; nanorurka węglowa

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2006
• Tom: Vol. 10, nr 1
• Strony: 160--166
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Tylikowski A.

• Warsaw University of Technology, Institute of Machine Design Fundamentals Narbutta 84, 02-524 Warszawa, Poland,

Bibliografia

• [1] Chang T., Li G., and Gou X.: Elastic axial buckling of carbon nanaotubes via a molecular mechanics model, Carbon, 43, (2005), 287-294.
• [2] Lau K. T., Chipara M., Ling H. Y., Hui D.: On the effective elastic moduli of carbon nanotubes for nanocomposite structures, Composites Part B: engineering, 35 (2004) 95-101.
• [3] Lourie O., Cox D. M., Wagner H.,D.: Buckling and collapse of embedded carbon nanotubes, Phys. Rev. Lett., 81, (1998) 1638-1641.
• [4] Ru C. Q.: Effect of van der Waals forces on axial buckling of a double-walled carbon nanotube, J. Appl. Phys., 87, (2000) 7227-7231.
• [5] Ru C. Q.: Effective bending stiffness of carbon nanotubes, Phys. Rev. B, 63, (2000) 9973-9976.
• [6] Tylikowski A.: Influence of torque on dynamic stability of composite thin-walled shafts with Brazier's effect, Mech. Mechan. Eng. Int. J., 1 (1997) 145-155.
• [7] Wang C. Y., Ru C. Q., Mioduchowski A.: Axially compressed buckling of pressured multiwall carbon nanotubes, Int. J. Sol. Struct., 40 (2003) 3893-3911.
• [8] Wang Q., Varadan V. K.: Stability analysis of carbon nanotubes via continuum models, Smart Mat. Struct., 14 (2005) 281-286.
• [9] Yakobson B. I., Brabec C. J., and Bernholc J.: Nanomechanics of carbon tubes: Instability beyond linear response, Phys. Rev. Lett., 76 (1996) 2511-2514.
• [10] Yoon J., Ru C. Q., Mioduchowski A.: Noncoaxial resonance of an isolated multiwall carbon nanotube, Phys. Rev. B, 66 (2002) 233402.
• [11] Zhao Y., Ma C.C., Chen G.H., Jiang Q.: Energy dissipation mechanisms in carbon nanotube oscillators, Phys. Rev. Lett., 91 (2003) 175504.