RESEARCH ARTICLE

Identification of dynamic stiffness matrix of bearing joint region

  • Feng HU ,
  • Bo WU ,
  • Youmin HU ,
  • Tielin SHI
Expand
  • National Key Laboratory of Digital Manufacturing and Assembling Technology, Huazhong University of Science and Technology, Wuhan 430074, China

Received date: 01 Sep 2008

Accepted date: 20 Feb 2009

Published date: 05 Sep 2009

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

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.

Cite this article

Feng HU , Bo WU , Youmin HU , Tielin SHI . Identification of dynamic stiffness matrix of bearing joint region[J]. Frontiers of Mechanical Engineering, 2009 , 4(3) : 289 -299 . DOI: 10.1007/s11465-009-0064-3

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).
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

DOI

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

DOI

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

DOI

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

DOI

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

DOI

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

DOI

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

DOI

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

Outlines

/