THE DYNAMIC RESPONSE OF A ROTATING SHAFT SUBJECT TO AN AXIALLY MOVING AND ROTATING LOAD

The dynamic response of a rotating shaft subject to an axially, constant-velocity, moving and rotating load is investigated. The dynamic behaviour of future, high-speed linear bearings is studied. Shafts used in linear bearing applications are typically slender. Therefore, Rayleigh beam theory is used to model the rotating shaft. Modal analysis and integral transformation methods are employed to develop analytical expressions for the transient response of a shaft with simply supported boundary conditions. Numerical results are presented, discussed and compared with some available solutions. As shown in the paper, by changing model parameters, it is possible to describe dynamic behaviour of different types of linear bearings and other mechanical elements.