Free Vibration Analysis of Functionally Graded Beams

In this study, the free vibration analysis of functionally graded (FG) beams is performed Navier type solution method according to the first-order shear deformation beam theory. The governing equations are derived from the Lagrange’s equations, and they are solved by using trigonometric series. Natural frequencies are calculated numerically for different boundary conditions, power-law indices and span-to-height ratios. Comparisons show in good agreement with the literature