A new, fast method is presented for the analysis of roller-race contact in roller bearings. Based on a theoretical and implicit load-deflection relationship, an improved slicing technique is developed which accounts for a more accurate representation of the pressure distribution along the line of contact. For validation, the method is compared to literature data and results obtained by FEM analysis. In the course of this, roller profiling and misalignment are considered. Due to its fastness and accuracy, the method has its particular advantages when many contacts have to be evaluated several times, e.g., in static load distribution calculations and dynamic simulations.

Issue Section:
Technical Papers
Keywords:
finite element analysis, mechanical contact, rolling bearings, load distribution, loading
Topics:
Deflection, Finite element model, Pressure, Rollers, Stress
1.
Hertz, H., 1882, “U¨ber die Beru¨hrung fester elastischer Ko¨rper,” Journal fu¨r reine und angewandte Mathematik, 92, pp. 156–171.
2.
Bra¨ndlein, J., Eschmann, P., Hasbargen, L., and Weigand, K., 1995, Die Wa¨lzlagerpraxis, 3rd ed., Vereinigte Fachverlage GmbH.
3.
Lundberg, G., 1939, “Elastische Beru¨hrung zweier Halbra¨ume,” Forschung auf dem Gebiete des Ingenieurwesens, 10(5), pp. 201–211.
4.
Rothbart, H. A., 1985, Mechanical Design and Systems Handbook, 2nd ed., McGraw-Hill.
5.
Young, W. C., and Roark, J. R., 1989, Roark’s Formulas for Stress and Strain, 6th ed., McGraw-Hill Professional.
6.
Palmgren, A., 1959, Grundlagen der Wa¨lzlagertechnik, 2nd ed., Franckh’sche Verlagshandlung, W. Keller & Co.
7.
Kunert, K., 1961, “Spannungsverteilung im Halbraum bei elliptischer Fla¨chenpressungsverteilung u¨ber einer rechteckigen Druckfla¨che,” Forschung auf dem Gebiete des Ingenieurwesens, 27(6), pp. 165–174.
8.
Houpert
,
L.
,
2001
, “
An Engineering Approach to Hertzian Contact Elasticity—Part I
,”
ASME J. Tribol.
,
123
, pp.
582
–
588
.
9.
De Mul
,
J. M.
,
Kalker
,
J. J.
, and
Fredriksson
,
B.
,
1986
, “
The Contact Between Arbitrarily Curved Bodies of Finite Dimensions
,”
ASME J. Tribol.
,
108
, pp.
140
–
148
.
10.
Conry
,
T. F.
, and
Seirig
,
A.
,
1971
, “
A Mathematical Programming Method for Design of Elastic Bodies in Contact
,” ASME J. Appl. Mech., pp. 387–392.
11.
Singh
,
K. P.
, and
Paul
,
B.
,
1974
, “
Numerical Solution of Non-Hertzian Elastic Contact Problems
,” ASME J. Appl. Mech., pp. 484–490.
12.
Reusner, H., 1977, “Druckfla¨chenbelastung und Oberfla¨chenverschiebung im Wa¨lzkontakt von Rotationsko¨rpern,” Dissertation, University of Karlsruhe, Germany.
13.
Nayak
,
L.
, and
Johnson
,
K. L.
,
1979
, “
Pressure Between Elastic Bodies Having a Slender Area of Contact and Arbitrary Profiles
,”
Int. J. Mech. Sci.
,
21
, pp.
237
–
247
, Pergamon Press.
14.
Hartnett
,
M. J.
,
1980
, “
A General Numerical Solution For Elastic Body Contact Problems
,”
ASME J. Appl. Mech.
,
39
, pp.
51
–
66
.
15.
Harris, T. A., 1984, Rolling Bearing Analysis, 2nd ed., John Wiley & Sons, Inc.
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