Free vibration of axially functionally graded Euler-Bernoulli beams

• Autorzy: Kukla S. , Rychlewska J.
• Języki publikacji: EN

Abstrakty

EN

In this contribution, free vibration of axially functionally graded beams is analysed within the framework of the Euler-Bernoulli beam theory. The beams with uniaxial variation of the elasticity modulus and mass density are approximated by an equivalent beam with piecewise exponentially varying geometrical and material properties. A numerical example for a beam with pinned ends is presented.

Słowa kluczowe

EN

axially functionally graded beams; free vibration; Euler-Bernoulli beam theory

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 1
• Strony: 39--44
• Opis fizyczny: Bibliogr. 6 poz., tab.

Twórcy

autor

Kukla S.

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

autor

Rychlewska J.

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

Bibliografia

• [1] Alshorbagy A.E., Eltaher M.A., Mahmoud F.F., Free vibration characteristics of a functionally graded beam by finite element method, Appl. Math. Model. 2011, 35, 412-425.
• [2] Hein H., Feklistova L., Free vibrations of non-uniform and axially functionally graded beams using Haar wavelets, Eng. Struct. 2011, 33, 3696-3701.
• [3] Anandrao K.S., Gupta R.K., Ramachandran P., Venkateswara Rao G., Free vibration analysis of functionally graded beams, Def. Sci. J. 2012, 62(3), 139-146.
• [4] Shahba A., Rajasekaran S., Free vibration and stability of tapered Euler-Bernoulli beams made of axially functionally graded materials, Appl. Math. Model. 2012, 36, 3094-3111.
• [5] Li X.-F., Kang Y.-A., Wu J.-X., Exact frequency equations of free vibration of exponentially functionally graded beams, Appl. Acoustic 2013, 74, 413-420.
• [6] Kukla S., Rychlewska J., Free vibration analysis of functionally graded beams, J. Appl. Math. Comp. Mech. 2013, 12(2), 39-44.