Structural Dynamic Effects on Interface Response: Formulation and Simulation Under Partial Slipping Conditions

[+] Author and Article Information
E. J. Berger

Department of Mechanical, Industrial, and Nuclear Engineering, University of Cincinnati, Cincinnati, OH 45221-0072

M. R. Begley

Department of Mechanical Engineering, University of Connecticut,

M. Mahajani

Department of Mechanical, Industrial, and Nuclear Engineering, University of Cincinnati, Cincinnati, OH 45221-0072

J. Appl. Mech 67(4), 785-792 (Jun 16, 2000) (8 pages) doi:10.1115/1.1330545 History: Received May 21, 1999; Revised June 16, 2000
Copyright © 2000 by ASME
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Zagrodzki,  P., 1990, “Analysis of Thermomechanical Phenomena in Multidisc Clutches and Brakes,” Wear, 140, pp. 291–308.
Armstrong-Helouvry, B., 1991, Control of Machines With Friction, Kluwer, Boston.
Waterhouse, R. B., 1992, “The Problems of Fretting Fatigue Testing,” Standardization of Fretting Fatigue Test Methods and Equipment-ASTM STP 1159, R. B. Waterhouse and M. H. Attia, eds., ASTM, Philadelphia, pp. 13–19.
Söderberg,  S., Bryggman,  U., and McCullough,  T., 1986, “Frequency Effects in Fretting Wear,” Wear, 110, pp. 19–34.
Bryggman,  U., and Söderberg,  S., 1986, “Contact Conditions in Fretting,” Wear, 110, pp. 1–17.
Schouterden,  K., Blanpain,  B., Celis,  J. P., and Vingsbo,  O., 1995, “Fretting of Titanium Nitride and Diamond-Like Carbon Coatings at High Frequencies and Low Amplitude,” Wear, 181-183, pp. 86–93.
Tolstoi,  D. M., 1967, “Significance of the Normal Degree of Freedom and Natural Normal Vibrations in Contact Friction,” Wear, 10, pp. 199–213.
Budanov,  B. V., Kudinov,  V. A., and Tolstoi,  D. M., 1980, “Interaction of Friction and Vibration,” Soviet Journal of Friction and Wear, 1, pp. 79–89.
Nayak,  P. R., 1972, “Contact Vibrations,” J. Sound Vib., 22, No. 3, pp. 297–322.
Gray,  G. G., and Johnson,  K. L., 1972, “The Dynamic Response of Elastic Bodies in Rolling Contact to Random Roughness of Their Surfaces,” J. Sound Vib., 22, No. 3, pp. 323–342.
Hess,  D. P., and Soom,  A., 1992, “Normal and Angular Motions at Rough Planar Contacts During Sliding With Friction,” ASME J. Tribol., 114, pp. 567–578.
Oden,  J. T., and Martins,  J. A. C., 1985, “Models and Computational Methods for Dynamic Friction Phenomena,” Comput. Methods Appl. Mech. Eng., 52, pp. 527–634.
Martins,  J. A. C., Oden,  J. T., and Simoes,  F. M. F., 1990, “A Study of Static and Kinetic Friction,” Int. J. Eng. Sci., 28, pp. 29–92.
Tworzydlo,  W. W., Becker,  E. B., and Oden,  J. T., 1994, “Numerical Modeling of Friction-Induced Vibrations and Dynamic Instabilities,” Appl. Mech. Rev., 47, No. 7, pp. 255–274.
Berger, E. J., Mahajani, M., and Karnik, J., 1998, “Local Stick-Slip Effects in Dynamic Contact Systems,” ASME Journal Of Tribology, in press.
Mahajani, M., 1998, “A Study in Stick-Slip Vibrations,” Master's thesis, University of Cincinnati, Cincinnati, OH.
Dieterich,  J. H., 1978, “Time-Dependent Friction and the Mechanisms of Stick-Slip,” Pure Appl. Geophys., 116, pp. 790–806.
Dieterich,  J. H., 1979, “Modeling of Rock Friction 1: Experimental Results and Constitutive Equations,” J. Geophys. Res., 84, pp. 2161–2168.
Dieterich,  J. H., 1979, “Modeling of Rock Friction 2: Simulation of Preseismic Slip,” J. Geophys. Res., 84, pp. 2169–2175.
Rice,  J. R., 1993, “Spatio-Temporal Complexity of Slip on a Fault,” J. Geophys. Res., 98, No. B6, pp. 9885–9907.
Gu,  J.-C., Rice,  J. R., Ruina,  A. L., and Tse,  S. T., 1984, “Slip Motion and Stability of a Single Degree of Freedom Elastic System With Rate and State Dependent Friction,” J. Mech. Phys. Solids, 32, No. 3, 167–196.
Rice,  J. R., and Ruina,  A. L., 1983, “Stability of Steady Frictional Slipping,” ASME J. Appl. Mech., 50, pp. 343–349.
Adams,  G. G., 1995, “Self-Excited Oscillations of Two Elastic Half-Spaces Sliding With a Constant Coefficient of Friction,” ASME J. Appl. Mech., 62, pp. 867–872.
Adams,  G. G., 1998, “Steady Sliding of Two Elastic Half-Spaces With Friction Reduction due to Interface Stick-Slip,” ASME J. Appl. Mech., 65, pp. 470–475.
Adams,  G. G., 1999, “Dynamic Motion of Two Elastic Half-Spaces in Relative Sliding Without Slipping,” ASME J. Tribol., 121, No. 3, pp. 455–461.
Menq,  C.-H., Griffin,  J. H., and Bielak,  J., 1986, “The Influence of a Variable Normal Load on the Forced Vibration of a Frictionally Damped Structure,” ASME J. Eng. Gas Turbines Power, 108, pp. 300–305.
Menq,  C.-H., and Griffin,  J. H., 1985, “A Comparison of Transient and Steady State Finite Element Analyses of the Forced Response of a Frictionally Damped Beam,” ASME J. Vibr. Acoust., 107, pp. 19–25.
Menq,  C.-H., Bielak,  J., and Griffin,  J. H., 1986, “The Influence of Microslip on Vibratory Response, Part I: A New Microslip Model,” J. Sound Vib., 107, No. 2, pp. 279–293.
Menq,  C.-H., Griffin,  J. H., and Bielak,  J., 1986, “The Influence of Microslip on Vibratory Response, Part II: A Comparison With Experimental Results,” J. Sound Vib., 107, No. 2, pp. 295–307.
Ben-Zion,  Y., and Rice,  J. R., 1997, “Dynamic Simulations of Slip on a Smooth Fault in an Elastic Solid,” J. Geophys. Res., 102, Vol. B8, pp. 17771–17784.
Haug, E. J., 1989, Computer-Aided Kinematics and Dynamics of Mechanical Systems, Allyn and Bacon, Boston.
Haftka, R. T., and Gürdal, Z., 1992, Elements of Structural Optimization, 3rd Ed., Kluwer, Boston.
Berger, E. J., Begley, M. R., and Breitenstein, J., 2000, “Interface Energy Dissipation in Microslip Contacts,” J. Sound Vib., in review.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.


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System for partial slip contact dynamics study: (a) continuous contact physical system, (b) discrete system for partial slip contact study
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Stick-slip detection algorithm using zeroth-order optimization
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Schematic of domain geometry and loading conditions for an example problem
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Dimensionless interface velocity response for ω=1 and μfar=0.05; inset: close-up showing detail of partial slipping response
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Waterfall plot showing regions of consistent stick (center of contact) and regions of nonzero dynamic response in phase with tangential forcing (ω=1 and μfar=0.05)
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Average percent of the interface experiencing sticking versus tangential forcing frequency
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Edge node maximum normalized slip displacement versus tangential forcing frequency



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