Nonlinear Modeling of Tilting-pad Bearings with Squeeze Film Dampers and Application to Flexible Rotor Analysis
Journal Title: International Journal of engineering Research and Applications - Year 2017, Vol 7, Issue 10
Abstract
Linearized bearing and squeeze film damper models have limits when the rotor undergoes severe unbalance conditions or large shaft vibrations. This paper presents a nonlinear modeling approach for a complex rotorbearing system, consisting of both tilting-pad bearings with squeeze film dampers as well as an assembly method for linear flexible rotors to simulate behavior of shaft-bearing system under severe unbalance conditions. By solving Reynolds equations derived from a tilting-pad bearing model and a finite length squeeze film damper model, the pressure profile is calculated using an approximate finite element method. The bearing/damper forces are then calculated based upon the shaft instantaneous position and velocity, and updated at each time step. The transient response of system, including coupled motions of the shaft, the bearing pads/pivots, and the dampers, is solved using a 4th Runge-Kutta integration method. The nonlinear transient behavior of a flexible eight-stage compressor under severe unbalance conditions, such as a partial impeller loss, is investigated and compared. High level shaft vibrations and nonlinear synchronous and non-synchronous behaviors at shaft and bearings are shown. The simulation shows the system damping significantly improved by installing the squeeze film dampers onto the bearings.
Authors and Affiliations
Jianming Cao, Timothy W. Dimond, Paul E. Alliare
Keywords
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