Free longitudinal vibration of a double-nanorod system

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

Abstrakty

EN

In this paper a solution to the problem of the free longitudinal vibration of a double-nanorod-system (DNRS) is presented. The nanorods of the system are coupled by many translational springs. The clamped-clamped and clamped-free boundary conditions are employed. The problem of vibration is solved by using the Green’s function method. The natural frequencies were numerically calculated.

Słowa kluczowe

EN

double-nanorod system; longitudinal vibration; Green's function method

PL

drgania podłużne; metoda funkcji Greena

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 2
• Strony: 15--22
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Ciekot A.

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

autor

Kukla S.

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

Bibliografia

• [1] Peddieson J., Buchanan G. R., McNitt R. P., Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science 2003, 41, 305-312.
• [2] Murmu T., Adhikari S., Nonlocal effects in the longitudinal vibration of double-nanorod systems, Physica E 2012, 43, 415-422.
• [3] Kukla S., Funkcje Greena i ich zastosowania, The Publishing Office of Czestochowa University of Technology, Częstochowa 2009.
• [4] Kukla S., Przybylski J., Tomski L., Longitudinal vibration of rods coupled by translational springs, Journal of Sound and Vibration 1995, 185(4), 717-722.
• [5] Richards D., Advanced Mathematical Methods with Maple, Cambridge University Press, 2009.