Identification of dynamic stiffness matrix of bearing joint region

Abstract

The paper proposes an identification method of the dynamic stiffness matrix of a bearing joint region on the basis of theoretical analysis and experiments. The author deduces an identification model of the dynamic stiffness matrix from the synthetic substructure method. The dynamic stiffness matrix of the bearing joint region can be identified by measuring the matrix of frequency response function (FRFs) of the substructure (axle) and whole structure (assembly of the axle, bearing, and bearing housing) in different positions. Considering difficulty in measuring angular displacement, applying moment, and directly measuring relevant FRFs of rotational degree of freedom, the author employs an accurately calibrated finite element model of the unconstrained structure for indirect estimation. With experiments and simulation analysis, FRFs related with translational degree of freedom, which is estimated through the finite element model, agrees with experimental results, and there is very high reliability in the identified dynamic stiffness matrix of the bearing joint region.

Keywords

frequency response function (FRFs) / dynamic stiffness / finite element / synthetic substructure method / joint region

References

[1] Harris T A. Rolling Bearing Analysis. New York: Wiley, 1966

[2] Lim T C, Singh R. Vibration transmission through rolling element bearing, 1. bearing stiffness formulation. Journal of Sound and Vibration, 1990, 139: 179-199

[3] Lim T C, Singh R. Vibration transmission through rolling element bearing, 2. system studies. Journal of Sound and Vibration, 1990, 139: 201-225

[4] Chen C H, Wang K W. An integrated approach toward the dynamic analysis of high-speed spindles. 2. dynamics under moving end load. Journal of Vibration and Acoustics-Transactions of the American Society of Mechanical Engineers, 1994, 116: 514-522

[5] Royston T J, Basdogan I. Vibration transmission through self-aligning (spherical) rolling element bearings: Theory and experiment. Journal of Sound and Vibration, 1998, 215: 997-1014

[6] Lynagh N, Rahnejat H, Ebrahimi M, Aini R. Bearing induced vibration in precision high speed routing spindles. International Journal of Machine Tools and Manufacture, 2000, 40: 561-577

[7] Cermelj P, Boltezar M. An indirect approach to investigating the dynamics of a structure containing ball bearing. Journal of Sound and Vibration, 2004, 276: 401-417

[8] Tsai J S and Chou Y F. The identification of dynamics characteristics of a single bolt joint. J Sound Vib ,1988, 125: 487-502

[9] Yang Tachung, Fan ShuoHao, Lin Chorng Shyan. Joint stiffness identification using FRF measurements. Computers and Structures, 2004, 81: 2549-2556

Acknowledgements

This study was supported by the National Key Basic Research Program of China (No. 2005CB724101), the National Natural Science Foundation of China (Grant Nos. 5057508, 50675076).

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg