Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system

This paper focuses on the nonlinear dynamics and thermal bidirectional coupling charac-teristics of a rotor-ball bearing system. The motion equations of the rotor system are for-mulated by the Lagrange method, where the radial clearance of the ball bearing affected by thermal characteristics is considered. The heat transfer model of the ball bearing is es-tablished by combining the lumped parameter with the full thermal network, in which the frictional heat generation induced by the dynamic load of the ball bearing is considered. The heat transfer model is coupled with the motion equations of the rotor system via the mechanical model of the ball bearing. The dynamics and thermal bidirectional cou-pling model is solved by the step-by-step iterative solving procedure to detect the inter -action between the vibration response of the rotor and the temperature variation of the ball bearing. The results show that the thermal expansion of the ball bearing results in the dynamical variation of the effective radial clearance, which makes a significant influ-ence on nonlinear dynamics and thermal characteristics of the rotor-ball bearing system. On the other hand, the nonlinear dynamic response of the rotor leads to the nonlinear thermal characteristics of the ball bearing through the influence of the dynamic load. It is observed that there are more complicated jump phenomena and motion patterns in the vi-bration response and temperature variation compared to the case without thermal effects. Moreover, the jump phenomena affected by the initial radial clearance, rotor eccentricity, and lubricant viscosity are analyzed in detail. The results obtained in this paper can pro-vide more insight into the bidirectional coupling mechanism of the nonlinear dynamics and thermal characteristics.(c) 2023 Elsevier Inc. All rights reserved.