Differential transformation and differential quadrature methods for centrifugally stiffened axially functionally graded tapered beams

The free bending vibration of rotating axially functionally graded (FG) Euler–Bernoulli tapered beams (ETB) with different boundary conditions are studied using Differential Transformation method (DTM) and differential quadrature element method of lowest order (DQEL). These two methods are capable of modeling any beam whose cross sectional area and moment of inertia vary along the beam. In order to verify the competency of these two methods, natural frequencies are obtained for problems by considering the effect of material non-homogeneity, taper ratio, rotating speed parameter, hub radius and tip mass. The results are tabulated and compared with the previous published results.