Free Vibration of a Functionally Graded Rotating Timoshenko Beam Using FEM

Abstract

Free vibration analysis of functionally graded ordinary (FGO) and functionally graded sandwich (FGSW) rotating cantilever beam is carried out using finite element method. The properties along the thickness of FGO beam and along the thickness of the core of FGSW beam are assumed to follow power law as well as exponential law. The increase in the parameters for rotary inertia, hub radius and rotational speed, increase the first two mode frequencies of both the beams no matter how the properties vary along the thickness of beams. The effect of property distribution laws on the frequencies is found to be predominant for lower values of rotary inertia parameter and for higher values of rotational speed parameter and hub radius parameter. The first two mode frequencies of FGSW beam increase with increase in the thickness of functionally graded material (FGM) core.