Dynamic Behaviors of a Functionally Graded Rotating Shaft-Bearing System 3 with Nonlinear Supports

Abstract

To obtain accurate results, rotor-bearing-disk system evaluations must necessarily be substantial. According to the evolution in the modern industries, functionally graded (FG) rotating shafts are widely employed depending on the unique applications. It was found that very few studies on stability difficulties for FG rotor-bearing-disk systems were published. A TG rotor comprising two disk and supported by two fluid ring bearings (FRBs). A rotating FG rotor-disk-bearing system's stability is analyzed in the current study, which employs a finite element (FE) dynamic modelling approach. By taking into account gyroscopic effects, rotary and translational inertia, shear deformation, 16 bending, and material (viscous and hysteretic) damping, the FG rotor shaft model is taken into consideration based on the theory of Timoshenko beams. Hamilton's principle is employed for developing the equations of motion. Stainless steel (SUS304) and Zirconia (ZrO2) are commonly treated in functionally graded shaft as the main components in this study. By accounting for a total of four freedom degrees per node, five-noded beam elements are taken into consideration. The findings of the Campbell diagram, the stability threshold, the time histories, and the damping ratio for the FG shaft are analyzed with those of the conventional standard steel shaft. As can be seen, the components of the radially classified FG shaft play a significant role in controlling the outcomes for FG rotating shaft. As a result, FG-shafts are preferred over regular steel shafts.