Free axial vibration of a nanorod using the WKB method

• Autorzy: Ciekot A.
• Języki publikacji: EN

Abstrakty

EN

In this paper the solution of the vibration problem of a non-uniform nanorod is presented. The WKB method is applied to solve the equation of motion for free axial vibration of the nanorod.

Słowa kluczowe

EN

vibration; non-uniform nanorod; WKB method

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 4
• Strony: 29--34
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Ciekot A.

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

Bibliografia

• [1] Chang T.-P., Small scale effect on axial vibration of non-uniform and non-homogeneous nanorods, Computational Materials Science 2012, 54, 23-27.
• [2] Huang Z., Nonlocal effects of longitudinal vibration in nanorod with internal long-range interactions, International J. of Solid and Structure 2012, 49, 2150-2154.
• [3] Danesh M., Farajpour A., Mohammadi M., Axial vibration analysis of tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications 2012, 39, 23-27.
• [4] Lee J.H., Lee B.S., Modal analysis of carbon nonotubes and nonocones using FEM, Comp. Material Science 2012, 51, 30-42.
• [5] Shu-Qi Guo, Shao-Pu Yang, Axial vibration analysis of nanocones elasticity theory, Acta Mech. Sin. 2012, 28(3), 801-807.
• [6] Nayfen A.H., Introduction to Perturbation Techniques, John Wiley & Sons, Inc., 1981.
• [7] Richards D., Advanced Mathematical Methods with Maple, Cambridge University Press, 2009.