Vibration Analysis of Functionally Graded Rotating Shaft System

This paper mainly deals with the dynamic analysis of functionally graded (FG) rotor shaft system. Power law gradation is adopted for mathematical material modelling of FG rotor shaft. Timoshenko beam theory (TMBT) is also been used for the finite element (FE) modelling of the FG shaft. The FG shaft model has been verified by comparing critical speeds with the available literature. Different analyses have been carried out (such as Campbell diagram, Stability speed limit (SSL) and damping ratio) by considering shear deformation, rotary inertia, gyroscopic effects, strain, the kinetic energy of shaft, and internal damping.