Study on nonlinear stiffness of rolling ball bearing under varied operating conditions

Nonlinear stiffness of rolling bearing is the root cause of the nonlinearity of a bearing rotor system. In this paper, bearing stiffness is calculated with a complete model for angular contact ball bearing. The bearing stiffness matrix is then integrated with finite element model of a rotor to study the nonlinear stiffness of rolling bearings. Calculated results are compared with the results of FAG's online tool (BearinX®) and experiments as well. The good agreements show the accuracy of the presented model. Based on the model of a two-bearing rotor system, the variations of bearing stiffness are studied from three aspects, i.e., external axial forces effects, external radial forces effects, and high speed effects, which may provide theoretical proofs for the study of bearing rotor systems.

[1]  Yusuf Altintas,et al.  A General Method for the Modeling of Spindle-Bearing Systems , 2004 .

[2]  Kyung-Yong Chwa,et al.  On deciding 3D part disassemblability and surface machinability , 1996 .

[3]  Tadao Murata,et al.  Petri nets: Properties, analysis and applications , 1989, Proc. IEEE.

[4]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

[5]  Frank Schultmann,et al.  Planning models for the dismantling of electrical and electronic equipment under consideration of uncertainties , 2008 .

[6]  Y. Altintas,et al.  Thermo-mechanical model of spindles , 2010 .

[7]  Rajit Gadh,et al.  A geometric algorithm for single selective disassembly using the wave propagation abstraction , 1998, Comput. Aided Des..

[8]  He Zheng-jia.  Dynamic modeling of high-speed spindles and analysis of high-speed effects , 2012 .

[9]  Ajd Fred Lambert,et al.  Disassembly sequencing: A survey , 2003 .

[10]  Surendra M. Gupta,et al.  A petri net approach to disassembly process planning , 1998 .

[11]  Zhengjia He,et al.  Method for Vibration Response Simulation and Sensor Placement Optimization of a Machine Tool Spindle System with a Bearing Defect , 2012, Sensors.

[12]  Zhengjia He,et al.  Chatter stability of milling with speed-varying dynamics of spindles , 2012 .

[13]  A. Lambert.  Determining optimum disassembly sequences in electronic equipment , 2002 .

[14]  A. B. Jones.  A General Theory for Elastically Constrained Ball and Radial Roller Bearings Under Arbitrary Load and Speed Conditions , 1960 .