The effect of non-uniformity and time varying characteristic of temperature field was quantified and provided as an axial clearance analytical expression when studying the rubbing process

and the rubbing between rotor and stator caused by the axial displacement was approximated as surface contact/squeeze process.Then the point contact or embedment of Hertz contact model was improved to an annulus surface contact or embeded model.On this basis

a new dynamical model of rotor system subjected to the rubbing force caused by axial squeeze was established.Finally

the numerical integration method was employed to solve the dynamical model

and the effect of annulus surface friction on the system was investigated for both the warming and steady temperature periods.The numerical results show that rubbing failure caused by axial displacement of rotor is as important as other rubbing phenomena;the surface rubbing is also an important factor which affects the normal operation of the engine.