Vibration and buckling analysis of functionally graded beams using a new beam element

Abstract

. In present paper, an analysis of free vibration and buckling of functionally graded beams using a finite element model based on first-order shear deformation theory is presented. The present work demonstrates a finite element programme using a five node beam element with thirteen degrees of freedom with one degree of freedom at the mid node and three degrees of freedom at each remaining four nodes. Power – law governs the continuous variation of the material properties through the thickness of the beam. In present paper, analysis has been performed on the beam model for different values of span to depth ratio, power-law indices and different boundary conditions and corresponding natural frequencies and buckling loads are obtained. The present model has a good agreement with the previously published results. Some new results are presented for future research works.