This is the second part of two companion papers, the first of which is “Static Rolling Bearing Models in a C.A.D. Environment for the Study of Complex Mechanism: Part I—Rolling Bearing Model.” A general methodology for the accurate modeling of the nonlinear behavior of ball and roller bearings is proposed. A stiffness matrix is defined both for each rolling element and for the complete rolling bearing. Thus, it can be introduced into standard finite element models of complex mechanical systems, with the aim of predicting mechanical behavior and load and strain distributions. This method is applied to two cases of helicopter and automobile gearboxes. Deformable bearing rings considerably modify contact angle and load distribution, thus the coefficient values of the stiffness matrix are different from the classical values. The paper highlights how important it is to consider an overall model of the mechanical system rather than a local one in the vicinity of the bearings.

1.
Bathe, K. J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ, 735 pp.
2.
Jones, A. B., and Harris, T. A., 1963, “Analysis of a Roiling Element Idler Gear Bearing Having a Deformable Outer-Race Structure,” ASME Journal of Basic Engineering, pp. 273–278.
3.
Lim, T. C., 1989, “Vibration Transmission Through Rolling Element Bearing in Geared Rotor System,” Ph.D. Dissertation, Ohio State University, 215 pp.
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.
Rigal, J. F., 1989, “Analyse et mode´lisation des systemes me´caniques en conception assiste´e par ordinateur. Application a la simulation du comportement statique des boiˆtes de transmission de puissance d’he´licopteres” these de doctorat en me´canique, INSA de Lyon, No. 89 ISAL 0095, 243 pp.
2.
Rigal, J. F., 1994, “Le comportement global des me´canismes en Conception Assiste´e par ordinateurs,” habilitation a` diriger des recherches en sciences, spe´cialite´ me´canique, INSA de Lyon, No. HDR 94 008, 143 pp.
3.
Satori, K., 1993, “Conception des me´canismes de transmission de puissance avec e´tude du comportement dynamique et vibratoire,” the´se de doctorat en me´canique, INSA de Lyon, No. 93 ISAL 0055, 215 pp.
4.
Tengroth, S., and Ha¨ggblad, H. A., 1990, “A general Computer Program for Optimised Analysis and Calculation of Bearing Arrangements,” Ball Bearing Journal, No. 236, SKF Go¨teborg, pp. 2–8.
This content is only available via PDF.