Nonlinear modeling and analysis of a rolling element bearing with a clearance |
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| Institution: | 1. Department of Automation, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, Poland;2. Institute of Product and Process Innovation (PPI), Leuphana University of Lüneburg, Universitätsallee 1, 21335 Lüneburg, Germany;3. Department of Computerization and Robotization of Production, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, Poland;1. School of Energy and Power Engineering, Beihang University, Beijing 100191, PR China;2. Collaborative Innovation Center of Advanced Aero-Engine, Beihang University, Beijing 100083, PR China;3. Beijing Key Laboratory of Aero-Engine Structure and Strength, Beijing 100083, PR China;1. State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, PR China;2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, PR China |
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| Abstract: | Rolling element bearings are the key components in many rotating machinery. For efficient performance of the machine it is necessary to accurately predict the effect of various parameters and operating conditions on the machine’s behavior. This paper deals with the development of a nonlinear model of the rotor-bearing system on rolling element bearings with clearance. Clearance is an important nonlinearity which can cause bifurcations and chaos as has been shown in this paper. In this paper a detailed model for clearance is developed. In this model the inner race center and the outer race center are not assumed to be collinear when relations for deflections in the rolling element are developed. The model is non-dimensionalized and then analyzed to reveal rich nonlinear phenomena. Further, for better performance of any machine it is necessary to identify and stay out of chaotic regimes of operation. Hence, Lyapunov exponents and Poincaré mappings are used to analyze the system and determine the regions of chaotic response. |
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