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TECHNICAL PAPERS

A New Method for the Analysis of Deformation and Load in a Ball Bearing With Variable Contact Angle

[+] Author and Article Information
Neng Tung Liao, Jen Fin Lin

Department of Mechanical Engineering, National Cheng Kung University, Tainan, 70101, Taiwan, ROC

J. Mech. Des 123(2), 304-312 (Jul 01, 1999) (9 pages) doi:10.1115/1.1357163 History: Received July 01, 1999
Copyright © 2001 by ASME
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References

Hertz,  H., 1881, “The Contact of Elastic Solids,” J. Reine Angew. Math, 92, pp. 156–171.
Stribeck,  R., 1907, “Ball Bearing for Various Loads,” ASME, 29, pp. 420–463.
Jones, A. B., 1946, Analysis of Stress and Deflections, New Departure Engineering Data, Bristol, Conn.
Jones, A. B., 1956, “The Mathematical Theory of Rolling-Element Bearing,” Mechanical Design and Systems Handbook.
Harris,  T. A., 1971, “An Analytical Method to Predict Skidding in Thrust-Loaded, Angular-Contact Ball Bearings,” ASME J. Lubr. Technol., 93, pp. 17–24.
Shin,  Y. C., 1992, “Bearing Nonlinearity and Stability Analysis in High Speed Machining,” ASME J. Eng. Ind., 114, pp. 23–30.
Harris, T. A., 1984, Rolling Bearing Analysis, John Wiley & Sons, New York, 2nd ed.
Sjovall, H., 1933, “The Load Distribution within Ball and Roller Bearings under Given External Radial and Axial Load,” Teknisk Tidskrift, Mek., h.9.

Figures

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The cross section of a single-row ball bearing
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The cross section of a ball bearing that shows the ball-race contacts unloaded
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The coordinate system and geometry of the raceway in a ball bearing
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A ball in contact with the outer and inner rings under the loads that are in the radial and axial direction
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Radial loaded ball bearing interference
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Moment and load distribution of the pitch circle in a ball bearing under a combined radial and axial load
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Present model compared with Harris’ method
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Contact angle, deformation and normal force vs. position angle, δa=0.0003 mm,δr=0.0245 mm
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Position angle vs. contact angle under different radial deformations, δa=0.01 mm
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Position angle vs. normal force under different radial deformations, δa=0.01 mm
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Position angle vs. deformation under different radial deformations, δa=0.01 mm
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Radial load vs. radial deformation under different axial loads
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Axial deformation vs. Moment under different radial deformations
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Eccentricity vs. radial deformation under different axial deformations
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Radial deformation vs. Moment under different axial deformations
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Position angle vs. contact angle under different axial deformations, δr=0.014 mm
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Position angle vs. normal force under different axial deformations, δr=0.014 mm
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Position angle vs. deformation under different axial deformations, δr=0.014 mm
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No-gap criterion of ball bearing
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Axial deformation vs. eccentricity under different radial deformations

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