Frequency analysis of a double-walled nanotubes system

• Autorzy: Ciekot A. , Kukla S.
• Języki publikacji: EN

Abstrakty

EN

In the present paper, a problem of free vibration of a double-walled nanotubes system is considered. The nanotubes of the system are coupled by an arbitrary number of elastic rings. The Green’s functions method was used to obtain a solution to the problem. Numerical results are presented graphically.

Słowa kluczowe

EN

nanotubes system; free vibration; Green's functions

PL

drgania swobodne; funkcja Greena

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 4
• Strony: 27--34
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Ciekot A.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Kukla S.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Ansari R., Sahmani S., Small scale effect on vibrational response of single-walled carbon naotubes with different boundary conditions based on nonlocal beam models, Commun. Nonlinear Sci. Numer. Simulat. 2012, 17, 1965-1979.
• [2] Murmu T., McCarthy M.A., Adhikari S., Vibration response of double-walled carbon nanotubes subjected to an externally applied longitudinal magnetic field: a nonlocal elasticity approach, Journal of Sound and Vibration 2012, 331, 5069-5086.
• [3] Natsuki T., Lei X. W., Shi J.X., Ni Q.Q., Vibration characteristics of embedded double-walled carbon nanotubes subjected to an axial pressure, 18 International Conference on Composite Materials.
• [4] Elishakoff I., Pentaras D., Fundamental natural frequencies of double-walled carbon nanotubes, Journal of Sound and Vibration 2009, 322, 652-664.
• [5] Duffy D.G., Green’s Functions with Applications, Chapman & Hall/CRC, 2001.
• [6] Ciekot A., Kukla S., Frequency analysis of a double-nanobeam-system, Journal of Applied Mathematics and Computational Mechanics 2014, 1(13), 23-31.
• [7] Richards D., Advanced Mathematical methods with Maple, Cambridge University Press, 2009.