The global responses characteristics of a rotor/stator rubbing system with dry friction effects

Abstract

Rotor/stator rubbing systems may undertake a number of quite different responses. Recent experiments on rotor/stator rubbing have revealed that two or three different responses may coexist. In this paper the global response characteristics of a general rotor/stator rubbing system, which takes into account the dominant factors in the process of rotor/stator rubbing, especially, the dry friction effect that is mostly neglected in the previous works and is the main factor for the self-excited dry friction backward whirl, are studied. The different solutions of the piecewise nonlinear system are derived and their stability are analyzed to get the existence boundaries of the different responses. An overall picture of the global response characteristics of this model is then obtained by drawing the existence boundaries in a same parameter space. The present results provide good understanding on the coexistence of different rubbing responses observed in tests. Moreover, deeper insight into the types of coexistence of different rubbing responses and their relationship with the system parameters is gained.

The forward and the backward full annular rubbing dynamics of a coupled rotor-casing/foundation system

“…In fact, there is a second existence region of the dry friction backward whirl for the rotor/stator systems as indicated recently in [26] through numerical simulation. It can thus conclude from the above discussion that there should be two separate existence regions of the dry friction backward whirl for a rotor-to-stator contact system with large contact stiffness as also shown in [23,24].…”

“…The third rotor/stator model takes the stator as an elastically supported rigid ring with mass, and is also widely used in modeling the retainer bearings [16][17][18][19][20]. Most recently, an extension of the simple rotor/stator model by taking the stator to be an elastically supported elastic ring with mass was investigated numerically in [21] and analytically in [22][23][24]. It was shown that the general model can be reduced to all of the simpler rotor/stator models mentioned above by assigning the corresponding parameters to some specific values.…”

Attractor and Vector Structure Analyses of Bursting Oscillation with Sliding Bifurcation in Filippov Systems

“…In practical engineering applications, there are many nonsmooth factors, such as switching [1] and impulse control [2]. e nonsmooth models describing the special dynamic behavior are generally divided into three categories: continuous nonsmooth systems [3], Filippov systems [4], and nonsmooth impulsive systems [5]. e Filippov-type (piecewise smooth) systems are characterized by discontinuous vector fields and continuous Jacobian matrices.…”

“…(a) Two-parameter bifurcation diagram and (b) the equilibrium branches with bifurcations in different regions 4. Shock and Vibration pseudoequilibrium point.…”

Nonlinear dynamics of rub-impact on a rotor-rubber bearing system with the Stribeck friction model

“…Shi et al [11] examine the dynamic response of a vertical rotor-bearing system with nonlinear bearing forces and discuss the influence of system parameters. In addition, many works have discussed chaotic motion [12,13] and destructive self-excited dry friction backward whirl [14,15].…”