Response in Passing Through Critical Speed of Arbitrarily Distributed Flexible Rotor System : Part 1, Case without Gyroscopic Effect

Abstract

This paper clarifies the characteristics of responses of flexible rotor systems with arbitrarily distributed mass passing through many critical speeds sequencially using numerical solutions obtained from the transition matrix method. The solutions superposed of each mode using these approximate equations coincided with numerical solutions very finely. Therefore, the total behaviors of the vibration of the shaft or the maximum amplitudes not only in passing through a single critical speed but also in passing through many critical speeds can be estimated by these approximate equations. It is made clear that the maximum amplitudes in transition through each critical speed are not influenced by the starting point of accelerations and they are close to those in the accelerated cases from the state of non-rotation.