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TECHNICAL PAPERS

The FEM Analysis of Dry Contact in the Variable Torque Slipping Clutch With Skewed Rollers by Using Weighted Simplex and BFGS Methods

[+] Author and Article Information
Ming Feng, Kyosuke Ono

Department of Mechanical Engineering and Science, Tokyo Institute of Technology, 2-12-1, Ookayama, Meguro-ku, Tokyo, 152-8552, Japan

Kenji Mimura

MIM Engineering Company Ltd., 2-12-1 Kirigaoka Midori-ku, Yokohama, 226-0016, Japan

J. Mech. Des 125(1), 186-199 (Mar 21, 2003) (14 pages) doi:10.1115/1.1543979 History: Received November 01, 2001; Revised July 01, 2002; Online March 21, 2003
Copyright © 2003 by ASME
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References

Feng,  M., Ono,  K., and Kenji,  M., 2001, “Fundamental Characteristics of A New Variable Torque Clutch with Skewed Rollers,” ASME J. Mech. Des., 123, pp. 436–446.
Feng,  M., Ono,  K., and Kenji,  M., 2001, “Studies on Contact Geometry and Limiting Resistant Torque Characteristics of the Variable Torque Slipping Clutch with Skewed Rollers,” JSME Int. J., Ser. C, 44, pp. 763–774.
Singh,  K. P., and Paul,  B., 1974, “Numerical Solution of Non-Hertzian Elastic Contact Problems,” ASME J. Appl. Mech., 41, pp. 484–490.
Hartnett,  M. J., 1979, “The Analysis of Contact Stresses in Rolling Element Bearings,” ASME J. Lubr. Technol., 101, pp. 105–109.
Snidle,  R. W., and Evans,  H. P., 1994, “A Simple Method of Elastic Contact Simulation,” Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 208, pp. 291–293.
Lubrecht,  A. A., and Ioannides,  E., 1991, “A Fast Solution of the Dry Contact Problem and the Associated Sub-Surface Stress Field, Using Multilevel Techniques,” ASME J. Tribol., 113, pp. 128–133.
Conry,  T. F., and Seireg,  A., 1971, “A Mathematical Programming Method for Design of Elastic Bodies in Contact,” ASME J. Appl. Mech., 38, pp. 387–392.
Oh,  K. P., and Trachman,  E. G., 1976, “A Numerical Procedure for Designing Profiled Rolling Elements,” ASME J. Lubr. Technol., 98, pp. 547–552.
Ai,  X., and Sawamiphakdi,  K., 1999, “Solving Elastic Contact Between Rough Surfaces as an Unconstrained Strain Energy Minimization by Using CGM and FFT Techniques,” ASME J. Tribol., 121, pp. 639–647.
Harris,  T. A., 1969, “The Effect of Misalignment on the Fatigue Life of Cylindrical Roller Bearings Having Crowned Rolling Members,” ASME J. Lubr. Technol., 91, pp. 294–300.
Kannel,  J. W., 1974, “Comparison Between Predicated and Measurement Axial Pressure Distribution Between Cylinders,” ASME J. Lubr. Technol., 96, pp. 508–514.
Johns,  P. M., and Gohar,  R., 1981, “Roller Bearing Under Radial and Eccentric Loads,” Tribol. Int., 14, pp. 131–136.
Krzeminski-Freda,  H., and Warda,  B., 1996, “Correction of the Roller Generators in Spherical Roller Bearings,” Wear, 192, pp. 29–39.
Lundberg,  G., 1939, “Elastische Beruhrung Zweier Halbraume,” Forschaufdem Gebiete des Ingenienwesens, 10, pp. 201–211.
Minoux, M., 1986, Mathematical Programming: Theory and Algorithms, John Wiley and Sons Ltd.
Rothenberg, R. I., 1979, Linear Programming, Elsevier North Holland, Inc.
Fletcher,  R., and Powell,  M. J. D., 1963, “A Rapidly Convergent Descent Method for Minimization,” Comput. J. (UK), 6, pp. 163–168.
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Bard,  Y., 1968, “On a Numerical Instability of Davidon-Like Methods,” Math. Comput., 22, pp. 665–666.

Figures

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Central pressure distributions under the condition of the same applied axial forces (a) Internal contact of Σ=±35° (b) Internal contact of Σ=±55°
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Central pressure distributions under the condition of the same resistant torque (a) Internal contact of Σ=±35° (b) Internal contact of Σ=±55°
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Configuration and geometrical parameters of the slipping clutch (a) Configuration of the slipping clutch (Cross Skewing) (b) Geometrical parameters and coordinate systems
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Contact model at tangency of the roller and the races (a) Internal contact (b) External contact
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Types of the corrections of the roller generator (a) Dub-off edge (b) Crown edge (c) Full crown with one arc
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Geometry of the crowned roller
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Coordinates at and near tangency of the roller and the races (a) Coordinate systems at Pi and Po (b) Coordinates near Pi and Po
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Kinematical relationship at a tangency of the roller and the races
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Attitudes of the roller
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FEM based discretization and the local and global coordinate systems
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Forces acting upon the roller
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Relationship between the equivalent frictional coefficients and the angular velocity ratios at the position of z̄(c)=0
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Pressures distributions and contours (Dub-off edge roller)
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Combined principal curvatures
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Comparison between the central pressure distributions of the various types of the roller generator corrections (a) Internal contact (b) External contact
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Comparison between the pressure contours (contact footprints) of the various types of the roller generator corrections (a) Crown edge roller (b) Full crown with one arc roller

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