Nonlinear vibration and stability analysis of a flexible rotor supported on angular contact ball bearings

Abstract

Flexible rotor systems supported by angular contact ball bearings display very complicated nonlinear behavior due to clearance and nonlinear Hertzian contact force. In this paper, a nonlinear vibration theoretical model for a flexible rotorbearing system is derived in which the dynamic model of the shaft element, disk, coupling, nonlinear contact deformations and forces of the ball bearing are established. Nonlinear responses and orbits analysis of a flexible rotor angular contact ball bearing system are studied using the numerical integration method and maximal Lyapunov exponent. Bifurcation and stability of periodic motion of the flexible rotor-bearing system are studied using the continuationshooting method and Floquet multipliers. Influences of initial contact angles, unbalance, damping factor, axial preloads, bending moments, stiffness ratio and rotating speed on stability and the bifurcation of periodic motion of the rotor-bearing system are analyzed. Finally, the theoretical model for a flexible rotor-bearing system is experimentally verified.

Application of Artificial Neural Networks to Calculation of Oil Film Reaction Forces and Dynamics of Rotors on Journal Bearings

“…Stability analysis of the obtained results could be implemented based on the rotor's locus analysis using Poincare maps [10,[27][28][29]. Moreover, the Routh-Hurwitz criterion could be applied to the linearization approach [1,10].…”

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Multi-body modelling of rolling element bearings and performance evaluation with localised damage

“…They studied the radial, axial and angular displacements when a combination of radial, axial and moment loads are applied. Cui and Zheng [5] also considered this 3D motion but used a five DOF model to model a rotor-bearing system. Jain and Hunt [15] introduced a different approach; they calculated the friction forces between the balls and the races in each contact using the EHL theory.…”

“…The majority of the literature on dynamic models of REBs focuses on ball bearings, with single-row deep-groove ball bearings receiving the most attention. Other dynamic models are related to other configurations of single-row ball bearings, such as angular-contact ball bearings [5,15,26,42]. There are a few models for double-row ball bearings in the research literature [20,46].…”