Aiming at the key problem in determining the parameters of finite element analysis(FEA)model of bearing joint interfaces
a new scheme according to the experimental data of modal testing is proposed. A 3-DOF dynamic equation following Lagrange theory is reported for the analysis to ball bearing vibrations
the stiffness and damping along normal of single ball is obtained by least square method
then the stiffness and damping matrix of bearing joint interfaces are identified. A new 3-DOF dynamic equation by two pairs of springs instead of the ball bearings is established
where the of spring values are calculated by substituting the stiffness and damping matrix into new equation to gain the FEA model of structure containing ball bearing. The results show that the first three modes by the FEA model coincide well with the experiments
and the error of natural frequencies gets less than 5%.
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references
张学良.机械结合面动态特性及应用 [M].北京:中国科学技术出版社,2002:1-9.
BOGRAD S, REUSS P, SCHMIDT A, et al. Modeling the dynamics of mechanical joints [J]. Mechanical Systems and Signal Processing, 2011,25(8):2801-2826.
ZHAO Honglin, DING Qingxin, ZENG Ming, et al. Theoretic analysis on and application of behaviors of machine tool joints [J].Chinese Journal of Mechanical Engineering, 2008,44(12): 208-214.
HARRIS T A, KOTZALSA M N. Advanced concepts of bearing technology [M]. New York, USA: Taylor Francis, 2006:1-40.
LIM T C, SINGH R. Vibration transmission through rolling element bearings: Part I Bearing stiffness formulation [J]. Journal of Sound and Vibration, 1990, 139(2): 179-199.
LIM T C, SINGH R. Vibration transmission through rolling element bearings: Part IV Statistical energy analysis [J]. Journal of Sound and Vibration, 1992, 153(1): 37-50.
XIE Tao, LIU Pinkuan, CHEN Zaili. Theoretical analysis and numerical estimation of stiffness matrix of angular contact ball bearing in a spindle-bearing system[J]. Journal of Harbin Institute of Technology, 2003,35(3): 329-333.
LIU Weiqun, LUO Jiwei, WU Changchun, et al. Program for the stiffness analysis of rolling bearing[J].Chinese Journal of Computational Mechanics, 2001,18(3):375-378.
LIU Xianjun, HONG Jun, ZHU Yongsheng, et al. Iterative method to solve bearing's force and stiffness for a multi-support spindle system based on finite element analysis [J].Journal of Xi'an Jiaotong University, 2011,44(11):41-45.
ROYSTON T J, BASDOGAN I. Vibration transmission through self-aligning(spherical)rolling element bearings: theory and experiment [J]. Journal of Sound and Vibration, 1998, 215(5): 997-1014.
ROOK T E, SINGH R. Structural intensity calculations for compliant plate-beam structures connected by bearings [J]. Journal of Sound and Vibration, 1998, 211(3): 365-387.
LYNAGH N, RAHNEJAT H, EBRAHIMI M, et al. Bearing induced vibration in precision high speed routing spindles [J]. International Journal of Machine Tools and Manufacture, 2000,40(4): 561-577.
CHEN Y S, CHENG Y D, YANG T, et al. Accurate identification of the frequency response functions for the rotor bearing foundation system using the modified pseudo mode shape method [J]. Journal of Sound and Vibration, 2009, 329(6): 644-658.
PATEL V N, TANDON N, PANDEY R K. A dynamic model for vibration studies of deep groove ball bearings considering single and multiple defects in races [J]. Journal of Tribology, 2010, 132(4):1-10.