Free Vibration Analysis Of Thick Functionally Graded Rotating Beam By Differential Transform Method

In this paper, the free vibration of a functionally graded (FG) rotating beam based on Timoshenko beam theory has been analyzed. The FG rotating beam assumed to be graded across the thickness and the material properties of the FG beam assumed to vary continuously through the thickness of the beam according to a power law distribution of the volume fraction of the constituent materials. Governing equations are solved using differential transform method. To verify the present analysis, the results of this study are compared with the available results from the existing literature. The effect of beam parameters such as constituent volume fractions, slenderness ratios, hub rotation speed and hub radius on the natural frequencies and mode shapes of the rotating beam is comprehensively investigated. The functionally graded composite material plays a significant role in vibration characteristics of the rotating FGM thick beams.