This paper, the first of two companion papers, proposes a general methodology for accurate modeling of the nonlinear behavior of ball and roller bearings. The models give stiffness matrices which can be introduced into standard finite element models of complex mechanical systems, with the aim of predicting mechanical behavior and load and strain distributions. In the case of an “isolated” ball bearing, the results obtained with the proposed approach are compared to results from the literature. Applications are implemented to evaluate the influence of external loadings on the stiffness matrices of tapered roller bearings mounted in a rigid mechanical environment.

1.
Andreason
S.
,
1973
, “
Load Distribution in a Taper Roller Bearing Arrangement Considering Misalignment
,”
Tribology
, Vol.
6
, No.
3
, pp.
84
92
.
2.
Choi, I. S., 1993, “Simulation des me´canismes complexes en CMAO, e´tude des non line´arites de comportement. Application aux boiˆtes de transmission de puissance d’he´licopteres,” these de doctorat, INSA de Lyon, p. 224.
3.
Harris, T. A., 1984, Rolling Bearing Analysis, 3rd edition, Wiley, New York, p. 565.
4.
Lim, T. C., 1989, “Vibration Transmission Through Rolling Element Bearing in Geared Rotor System,” the`se de doctorat, Ohio State University, p. 215.
1.
Lim
T. C.
, and
Singh
R.
,
1990
,
1991
,
1992
, “
Vibration Transmission Through Rolling Element Bearings
,” Parts I to V,
Journal of Sound and Vibration
, Vol.
139
, pp.
179
199
,
2.
Journal of Sound and Vibration
, Vol.
139
, pp.
201
225
,
3.
Journal of Sound and Vibration
, Vol.
151
, pp.
31
54
,
4.
Journal of Sound and Vibration
, Vol.
153
, pp.
37
50
.
1.
Liu, J. Y., 1970, “The Effect of Misalignment on the Life of High Speed Cylindrical Roller Bearings,” ASME JOURNAL OF LUBRICATION TECHNOLOGY, pp. 129–137.
2.
Liu, J. Y., and Chiu, J. P., 1974, “Analysis of a Thin Elastic Ring Under Arbitrary Loading,” ASME Journal of Engineering for Industry, pp. 870–876.
3.
de Mul
J. M.
,
Vree
J. M.
, and
Mass
D. A.
,
1989
, “
Equilibrium and Associated Load Distribution in Ball and Roller Bearing in Five Degreesof Freedom While Neglecting Friction, Part I and II
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
111
, pp.
142
148
and pp. 149–155.
4.
Palmgren, A., 1967, “Les roulements descriptions, the´orie, applications,” Paris, SKF, p. 120.
5.
Young, W. C., 1989, Roark’s Formulas for Stress and Strain, Sixth Edition, McGraw-Hill, New York, p. 763.
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