Combined Methodology for Analysis of Rotary Systems

Abstract

This study develops a numerical method for analyzing the unbalanced effect of rotary systems by combining the finite element method, the transfer matrix method, the time marching numerical integration method and the Houbolt numerical method. Previous studies of the individual effects associated with the rotary inertia, gyroscopic phenomenon, shear deformation, axial loading and internal damping on the dynamic behavior of rotary systems are all incorporated and examined in this study. The calculated transient and steady displacements of components in two systems are comparable with the available data. The results show that maximum displacements occur in the transient states at some critical speeds to assure the importance for analyzing the unbalanced effect of the rotary systems. Compared with existing methods, this presently combined methodology provides a faster converging speed. In addition, this model should improve the predicted results for the transient dynamic analysis of rotary systems than those obtained from existing models.