Buckling analysis of axially functionally graded beams

• Autorzy: Rychlewska J.
• Języki publikacji: EN

Abstrakty

EN

In this paper critical buckling loads for axially functionally graded (FG) beams are studied. It is assumed that material properties of the beam vary exponentially through the axial direction. Solutions are derived for three types of boundary conditions: a beam that is clamped at both ends, pinned at both ends and a beam that is clamped at one end and pinned at the other.

Słowa kluczowe

EN

functionally graded beams; buckling load

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 4
• Strony: 103--108
• Opis fizyczny: Bibliogr. 6 poz., tab.

Twórcy

autor

Rychlewska J.

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

Bibliografia

• [1] Kukla S., Skalmierski B., The effect of axial loads on transverse vibrations of an Euler-Bernoulli beam, J. Theor. Appl. Mech. 1993, 31(2), 413-430.
• [2] Wang C.M., Wang C.Y., Reddy J.N., Exact Solutions for Buckling of Structural Members, CRC Press, LLC, Florida 2005.
• [3] Singh K.V., Li G., Buckling of functionally graded and elastically restrained non-uniform columns, Composites B 2009, 40, 393-403.
• [4] Huang Y., Luo Q.Z., A simple method to determine the critical buckling loads for axially inhomogeneous beams with elastic restraint, Comput. Math. Appl. 2011, 61, 2510-2517.
• [5] 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.
• [6] Shahba A., Attarnejad R., Tavanaie Marvi M., Hajilar S., Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions, Composites B 2011, 42, 801-808.