Influence of Errors on the Vibration of Rotor/Bearing System

Abstract

This paper deals with the error analysis of the vibration of rotor/bearing systems. If the statistical properties of errors (i. e., mean values and standard deviations) are known, the mean value and standard deviation of unbalance response and critical speed may be obtained and the probability of instability may be calculated. It is concluded that the critical speed is not greatly affected by the errors, but the real part of the eigenvalue which is very important for instability is sensitively affected. The amplitude of the vibration for mass and stiffness errors varies with high sensitivity near the critical speed.