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TECHNICAL PAPERS

A Deformation Formula for Circular Crowned Roller Compressed Between Two Flat Plates

[+] Author and Article Information
T. L. Horng

Department of Mechanical Engineering, Kung-Shan Institute of Technology, Tainan, Taiwan, R.O.C.

S. H. Ju

Department of Civil Engineering, National Cheng-Kung University, Tainan, Taiwan, R.O.C.e-mail: juju@mail.ncku.edu.tw

K. C. Cha

Chung-Shan Institute of Science and Technology, Taiwan, R.O.C.

J. Tribol 122(2), 405-411 (Aug 24, 1999) (7 pages) doi:10.1115/1.555376 History: Received July 24, 1999; Revised August 24, 1999
Copyright © 2000 by ASME
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References

Lundberg,  G., 1939, “Elastiche Beruhreng zweier Halbraume,” (Elastic Contact of Two Half Spaces), Forschung AUF dem Gebiete der Ingenieuwesens, 10, No. 5, p. 20.
Palmgren, A., 1959, Ball and Roller Bearing Engineering, Third Edition, S. H. Burbank and Company, Philadelphia, p. 50.
Dowson, D., and Higginson, G. R., 1963, “Theory of Roller Bearing Lubrication and Deformation,” Proc. Lubrication and Wear Convention, Inst. Mech. Eng., London, Paper 19, pp. 216–227.
Nikpur,  K., and Gohar,  R., 1975, “Deflection of a Roller Compressed between Plates,” Tribol. Int. 8, p. 2–8.
Hoeprich,  M. R., and Zantopulos,  H., 1981, “Line Contact Deformation: A Cylinder between Two Flat Plates” ASME J. Lubr. Technol. 103, p. 21–25.
Reusner,  H., 1987, “The Logarithmic Roller Profile-the Key to Superior Performance of Cylindrical and Taper Roller Bearings,” Ball Bearing J., 230, pp. 2–10.
Ju, S. H., Horng T. L., and Cha, K. C., 2000, “Comparisons of contact pressures of crowned rollers,” accepted by J. Eng. Tribol.
Ju,  S. H., and Cha,  K. C., 1999, “Evaluating Stress Intensity Factors of a Surface Crack in Lubricated Rolling Contacts,” Int. J. Fract., 96, pp. 1–15.
Harris, A., 1984, Rolling Bearing Analysis, Wiley, New York, p. 137.
Hamrock,  B. J., 1983, “Simplified Solution for Stresses and Deformations,” ASME J. Lubr. Technol. 105, pp. 171–177.
Holl, D., 1941, “Plane-Strain Distribution of Stress in Elastic Media,” Iowa Engineering Experiment Station, Iowa State College, Bulletin 148, 39 .
Hertz,  H., 1881, “The Contact of Elastic Bodies,” J. Reine Angew. Math. 92, pp. 156–171.
Ju, S. H., 1997, “Development a Nonlinear Finite Element Program with Rigid Link and Contact Element,” Report of NSC in R.O.C., NSC-86-2213-E-006-063, 66–81. This report and program source codes in an executable compressed file nfemnew.exe of MS-DOS can be obtained from the FTP server 140.116.36.4.
Wilson, E. L., Taylor, R. L., Doherty, W. P., and Ghaboussi, J., 1973, “In-compatible Displacement Models,” Numerical and Computer Methods in Structural Mechanics, Fenves, S. J., Perrone, N., Robinson, A. R., and Schnobrich, W. C., eds, Academic Press, New York, pp. 43–57.
Ju,  S. H., and Kung,  K-J. S., 1997, “Mass Types, Element Orders and Solving Schemes for the Richards Equation,” Comput. Geosci. 23, pp. 175–187.
Ju,  S. H., and Rowlands,  R. E., 1999, “A Three-Dimensional Frictional Contact Element Whose Stiffness Matrix is Symmetric,” ASME J. Appl. Mech. 66, pp. 460–467.
Ju,  S. H., and Horng,  T. L., 1999, “Behaviors of a Single Crack in Multiple Bolted Joints,” Int. J. Solids Struct. 36, pp. 4055–4070.

Figures

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Model and dimensions of a steel crowned roller between two flat plates
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Circular crowned profiles
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Elliptical load distribution and coordinate system
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Plate deformation shape and crowned-roller profile in the y–z plane
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Contact between the crowned part and the deformed plate
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Finite element mesh; (a) finite element mesh of the 1/8 model of Fig. 1 and (b) finite element mesh from the side view
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Node-to-Hermit-surface contact element with 4×5 Hermit surfaces
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Comparison between FEM result and analysis result, Δs=3.7873 mm,Δt=0.08 mm

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