Bifurcation of periodic motion of rigid rotor system supported by angular contact ball bearings |
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| Authors: | Li Cui Changli Liu Jianrong Zheng |
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| Affiliation: | (1) Department of Mechanical Engineering, National Institute of Technology, Jaipur, India;(2) Department of Mechanical Engineering, Indian Institute of Technology, Delhi, India;(3) Department of Applied Mechanics, Indian Institute of Technology, Delhi, India |
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| Abstract: | Rotor systems supported by angular contact ball bearings are complicated due to nonlinear Hertzian contact force. In this paper, nonlinear bearing forces of ball bearing under five-dimensional loads are given, and 5-DOF dynamic equations of a rigid rotor ball bearing system are established. Continuation-shooting algorithm for periodic solutions of the nonlinear non-autonomous dynamic system and Floquet multipliers of the system are used. Furthermore, the bifurcation and stability of the periodic motion of the system in different parametric domains are also studied. Results show that the bifurcation and stability of period-1 motion vary with structural parameters and operating parameters of the rigid rotor ball bearing system. Avoidance of unbalanced force and bending moment, appropriate initial contact angle, axial load and damping factor help enhance the unstable rotating speed of period-1 motion. |
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| Keywords: | angular contact ball bearing rigid rotor system bifurcation periodic motion continuation-shooting algorithm |
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