Frequency analysis of a double-nanobeam system

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

Abstrakty

EN

In this paper, a problem of transverse free vibration of a double-nanobeam-system is considered. The nanobeams of the system are coupled by an arbitrary number of translational springs. The solution of the problem by using the Green’s functions properties is obtained. A numerical example is presented.

Słowa kluczowe

EN

nanobeam system; free vibration; Green's functions

PL

drgania swobodne; funkcja Greena; wyniki obliczeń numerycznych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 1
• Strony: 23--31
• Opis fizyczny: Bibliogr. 9 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

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• [2] Aydogdu M., A general nonlocal beam theory: its application to nanobeam bending, buckling and vibration, Physica E 2009, 41, 1651-1655.
• [3] Murmu T., Adhikari S., Nonlocal effects in the longitudinal vibration of double-nanorod systems, Physica E 2012, 43, 415-422.
• [4] Ansari R., Hisseini K., Darvizeh A., Daneshian B., A sixth-order compact finite difference method for non-classical vibration analysis of nanobeams including surface stress effects, Applied Mathematics and Computation 2013, 219, 4977-4991.
• [5] Eltaher M.A., Alshorbagy A.E., Mahmoud F.F., Vibration analysis of Euler-Bernoulli nanobeams by using finite element method, Applied Mathematical Modelling 2013, 37(7), 4787-4797.
• [6] Duffy D.G., Green’s Functions with Applications, Chapman & Hall/CRC, 2001.
• [7] Kukla S., Funkcje Greena i ich zastosowania, Wydawnictwo Politechniki Częstochowskiej, Częstochowa 2009.
• [8] Ciekot A., Kukla S., Free longitudinal vibrations of nanorods system, Journal of Applied Mathematics and Computational Mechanics 2013, 2(12), 15-22.
• [9] Richards D., Advanced Mathematical Methods with Maple, Cambridge University Press, 2009.