Shaft Center Orbit in Dynamically Loaded Bearings

The aim of this work is to demonstrate how to utilize the bearings damping coe±cients to estimate the orbit for a dynamically loaded journal bearing. The classical method for this analysis was developed by Booker in 1965 [1]and described further in 1972 [2]. Several authors have re¯ned this method over the years. In 1966 Jorgen W. Lund [5]published an approach to ¯nd the dynamic coe±cients of a journal bearing by a ¯rst order perturbation of the Reynold's equation. These coe±cients made it possible to perform a rotor-bearing stability analysis for a statically loaded bearing. In the mid seventies Jorgen W. Lund pointed out in lecture notes that the dynamic damping coe±cients of the bearing could be used to ¯nd the shaft orbit for dynamically loaded bearings. For simplicity the "Short-Width-Journal-Bearing Theory" is used as a basis for ¯nding the damping coe±cients in this work, but the method is general and the damping coe±cients could have been found also by numerical solutions.