文档介绍：Mechanism and Machine Theory 44 (2009) 1176–1191
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Mechanism and Machine Theory
journal homepage: ate/mechmt
A continuous model approach for cross-coupled bending vibrations
of a rotor-bearing system with a transverse breathing crack
. Chasalevris, . Papadopoulos *
Department of Mechanical Engineering and Aeronautics, University of Patras, GR- Patras, Greece
article info abstract
Article history: In this paper, the cross-coupled bending vibrations of a rotating shaft, with a breathing
Received 27 July 2007 crack, mounted in resilient bearings are investigated. The equations of motion of the con-
Received in revised form 1 August 2008 tinuum and isotropic rotating model of the shaft follow the theory of Rayleigh. The govern-
Accepted 1 September 2008
ing equations are coupled in the two main directions, and the partial solution is obtained
Available online 15 October 2008
by solving a linear system of equations, for each time step, taking into account the non-lin-
earity due to the breathing crack. The coupling is introduced in three different ways: the
equations of motion, the resilient bearings and the crack.
Keywords:
A main focus is made in the coupling introduction due to pliance variance
Continuum rotor model
Transverse crack while rotation with the cross-coupling terms of the pliance matrix due to the
Rotating crack crack to be calculated analytically as functions of the rotational angle.
Coupling The three causes of coupling between the vertical and horizontal vibrations should be
Breathing distinguished with regard to the effects that each one of them has on the dynamic response
Rotor-bearing system of the rotor. Inversely, the existence of each type of coupling in the frequency response
Resilient bearing could be used to identify the respective cause.
Ó 2008 Elsevier Ltd. All rights reserved.
1. Introduction
The vibration of cracked rotors is an issue that has been co