Identification of dynamic stiffness matrix of bearing joint region

doi:10.1007/s11465-009-0064-3

Front Mech Eng Chin

2009, Vol. 4

Issue (3) : 289-299 https://doi.org/10.1007/s11465-009-0064-3

RESEARCH ARTICLE

Identification of dynamic stiffness matrix of bearing joint region

Feng HU, Bo WU(

), Youmin HU, Tielin SHI

National Key Laboratory of Digital Manufacturing and Assembling Technology, Huazhong University of Science and Technology, Wuhan 430074, China

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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

Corresponding Author(s): WU Bo,Email:bowu@mail.hust.edu.cn

Issue Date: 05 September 2009

Cite this article:

Feng HU,Bo WU,Youmin HU, et al. Identification of dynamic stiffness matrix of bearing joint region[J]. Front Mech Eng Chin, 2009, 4(3): 289-299.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-009-0064-3
https://academic.hep.com.cn/fme/EN/Y2009/V4/I3/289

Fig.1 Connection structure

Fig.2 Assembly diagram of axle and bearing housing
1 screw; 2 gland; 3 locknut; 4 left axle housing; 5 rolling ball bearing; 6 axle housing; 7 bearing housing; 8 axle

Fig.3 Axle and bearing (unit: mm)

Fig.4 Structural dimension of axle (unit: mm)

Tab.1 Property of materials

Tab.2 Comparison of unconstraint structures in natural frequency (Hz)

Tab.3 Damping of various order modes

Fig.5 FRFs of in the -axle direction obtained by experiments (by launching excitation and collecting the vibration signal in the -axle direction) and FRFs attained through the finite element model

Fig.6 FRFs of in the -axle direction obtained by experiments (by launching excitation and collecting vibration signals in the -axle direction) and FRFs attained through the finite element model

Fig.7

Fig.8

Fig.9 Dynamic stiffness matrix . (a); (b); (c); (d); (e); (f); (g); (h); (i); (j); (k); (l); (m); (n); (o)

Fig.10 Comparison between estimation results and experimental results of FRFs of freedom degree of 2 in -axle direction

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: 10.1016/0022-460X(90)90882-Z
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: 10.1016/0022-460X(90)90883-2
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: 10.1115/1.2930457
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: 10.1006/jsvi.1998.9999
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: 10.1016/S0890-6955(99)00076-0
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: 10.1016/j.jsv.2003.07.039
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: 10.1016/0022-460X(88)90256-8
9	Yang Tachung, Fan ShuoHao, Lin Chorng Shyan. Joint stiffness identification using FRF measurements. Computers and Structures , 2004, 81: 2549-2556

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