文献类型：期刊文献

中文题名：Bifurcation of Periodic Motion of Rigid Rotor System Supported by Angular Contact Ball Bearings

英文题名：Bifurcation of periodic motion of rigid rotor system supported by angular contact ball bearings

作者：Cui, Li[1]; Liu, Changli[1]; Zheng, Jianrong[1]

机构：[1] Key Laboratory of Safety Science of Pressurized System of Ministry of Education, School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China

年份：2011

卷号：17

期号：6

起止页码：404

中文期刊名：Transactions of Tianjin University

外文期刊名：Transactions of Tianjin University

收录：EI(收录号：20120714762926);Scopus

基金：Supported by National Natural Science Foundation of China (No.50905061);the Fundamental Research Funds for Central Universities

语种：英文

中文关键词：angular contact ball bearing; rigid rotor system; bifurcation; periodic motion; continuation-shooting algorithm

外文关键词：Bifurcation (mathematics) - Ball bearings - Nonlinear equations - System stability

摘要：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.
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. ? 2011 Tianjin University and Springer-Verlag Berlin Heidelberg.