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TECHNICAL PAPERS

An Elastodynamic Model of Frictional Contact and Its Influence on the Dynamics of a Workpiece-Fixture System

[+] Author and Article Information
B. Fang, R. E. DeVor, S. G. Kapoor

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Manuf. Sci. Eng 123(3), 481-489 (Oct 01, 2000) (9 pages) doi:10.1115/1.1381006 History: Received March 01, 2000; Revised October 01, 2000
Copyright © 2001 by ASME
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References

Den Hartog, J. P., 1956, Mechanical Vibrations, McGraw-Hill, New York, 4th Ed.
Mindlin,  R. D., 1949, “Compliance of Elastic Bodies in Contact,” J. Appl. Mech., 16, pp. 259–268.
Mindlin, R. D., Mason, W. P., Osmer, T. F., and Deresiewicz, H., 1951, “Effects of an Oscillating Tangential Force on the Contact Surface of Elastic Spheres,” Proc. 1st US National Congress of Applied Mechanics, pp. 203–208.
Duvaut, G., and Lions, J. L., 1976, Inequalities in Mechanics and Physics, Springer-Verlag.
Oden,  J. T., and Martins,  J. A. C., 1985, “Models and Computational Methods for Dynamic Friction Phenomena,” Computer Methods in Mechanics and Engineering, 52, pp. 527–634.
Fang, B., DeVor, R. E., and Kapoor, S. G., 2000, “On the Prediction of Friction Force at Workpiece-Fixture Interface,” Transactions of NAMRI/SME, pp. 209–214.
Mittal,  R. O., Cohen,  P. H., and Gilmore,  B. J., 1991, “Dynamic Modeling of the Fixture-Workpiece System,” Rob. Comput.-Integr. Manufact., 8, pp. 201–217.
DADS Theoretical Manual, 1988, Rev. 5.0, Oakdale, IA, Computer Aided Design Software.
Tao,  Z. J., Senthil Kumar,  A., Nee,  A. Y. C., and Mannan,  M. A., 1997, “Modelling and Experimental Investigation of a Sensor-Integrated Workpiece-Fixture System,” International Journal of Computer Applications in Technology, 10, pp. 236–250.
Miranda,  I., Ferencz,  R. M., and Hughes,  T. J. R., 1989, “An Improved Implicit-Explicit Time Integration Methods for Structural Dynamics,” Earthquake Eng. Struct. Dyn., 18, pp. 643–653.
Newmark,  N. M., 1959, “A Method of Computation for Structural Dynamics,” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 85, pp. 67–94.
Hilber,  H. M., Hughes,  T. J. R., and Taylor,  R. L., 1977, “Improved Numerical Dissipation for Time Integration Algorithms in Structural Dynamics,” Earthquake Eng. Struct. Dyn., 5, pp. 283–292.
Sakurai,  H., 1994, “Motion and Force Prediction of a Pushed Object by Maximum Dissipation Method,” J. Appl. Mech., 61, pp. 440–445.
Fu,  H. J., DeVor,  R. E., and Kapoor,  S. G., 1984, “A Mechanistic Model for Prediction of the Force System in Face Milling Operations,” ASME J. Eng. Ind., 106, pp. 81–88.
Williams,  D., 1960, “Method of Damping Out Bending Vibrations of Beam-Like Structures by Dry (or Coulomb) Friction,” J. Mech. Eng. Sci., 2, pp. 77–87.

Figures

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Modular fixture setup with the workpiece in place
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Part/fixture configuration
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A preloaded triaxial force sensor
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Comparison of experimental and simulated impulse hammer force
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Comparison of accelerations at A1, A2 and A3 (without side supports)
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Comparison of transfer function at A1 and A3 without side supports (dotted lines are fitted transfer functions)
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Mode shapes: (a) first mode of case 1; (b) second mode of case 1; (c) first mode of case 2 (dotted lines are representation of the undeformed workpiece; arrows indicate the motion in the z-direction)
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Comparison of accelerations at A1, A2 and A3 (with side clamping force=378 N)
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Comparison of transfer functions at A1 and A3 (with side clamping force=378 N)
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Comparison of reaction force in normal direction at L3
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Experimentally determined damping ratios and effective stiffness at A1 with increasing side clamping magnitude
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Experimental results: evolution of transfer functions at A1 in the transition region
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Two measured accelerations (one at locator L4 and one at workpiece top surface right above L4)
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Damping ratio at A1 and side clamping magnitude in the frictional contact region
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Comparison of transfer function at A1 (with side clamping force=1913 N)

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