0
TECHNICAL PAPERS

Modeling and Identification of Lubricated Polymer Friction Dynamics

[+] Author and Article Information
Geesern Hsu

Center for Robust Design, Faculty of Engineering, National University of Singapore, Singapore 119260

Andrew E. Yagle

Department of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, MI 48109-2125

Kenneth C. Ludema

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109-2125

Joel A. Levitt

Scientific Research Laboratories, The Ford Motor Company, Dearborn, MI 48121

J. Dyn. Sys., Meas., Control 122(1), 78-88 (Oct 11, 1996) (11 pages) doi:10.1115/1.482431 History: Received October 11, 1996
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.

References

Ibrahim, R. A., 1992, “Friction-Induced Vibration, Chatter, Squeal, and Chaos: Part I-Mechanics of Friction and Part II-Dynamics and Modeling,” DE-Vol. 49, Friction-Induced Vibration, Chatter, Squeal, and Chaos, ASME 1992.
Moore,  D. F., 1972, “On the Decrease in Contact Area for Spheres and Cylinders Rolling on a Viscoelastic Plane,” Wear, 21, pp. 179–194.
Moore,  D. F., and Geyer,  W., 1974, “A Review of Hysteresis Theories for Elastomers,” Wear, 30, pp. 1–34.
Barquins,  M., and Roberts,  A. D., 1986, “Rubber Friction Variation with Rate and Temperature: Some New Observations,” J. Phys. D: Appl. Phys., 19, pp. 547–563.
Briscoe, B. J., 1992, “Friction of Organic Polymers,” Fundamentals of Friction: Macroscopic and Microscopic Processes, I. L. Singer and H. M. Pollock, eds., Kluwer Academic Publishers, Boston.
Schallamach,  A., 1971, “How Does Rubber Slide,” Wear, 17, pp. 301–312.
Barquins,  M., 1985, “Sliding Friction of Rubber and Schallamach Waves—A Review,” Mater. Sci. Eng., 73, pp. 45–63.
Lewis,  M. W. J., 1986, “Friction and Wear of PTFE-Based Reciprocating Seals,” Lubr. Eng., 42, No. 3, pp. 152–158.
Ferry, J. D., 1980, Viscoelastic Properties of Polymers, Wiley, New York.
Briscoe, B. J., 1986, “Interfacial Friction of Polymer Composites: General Fundamental Principles,” Friction and Wear of Polymer Composites, Friedrich, K., ed., Elesevier, New York, pp. 25–60.
Pipkin, A. C., 1986, Lectures on Viscoelasticity Theory, Springer-Verlag, New York.
Ludema,  K. C., and Tabor,  D., 1996, “The Friction and Viscoelastic Properties of Polymeric Solids,” Wear, 9, pp. 329–348.
Lee, L. H., ed., 1985, Polymer Wear and Its Control, ACS Symposium series 287.
Thorp, J. M., 1986, “Tribological Properties of Selected Polymeric Matrix Composites Against Steel Surfaces,” Friction and Wear of Polymer Composites, Freidrich, K., ed., Elsevier, New York, pp. 89–136.
Visscher,  M., and Kanters,  A. F. C., 1990, “Literature Review and Discussion on Measurements of Leakage, Lubricant Film Thickness and Friction of Reciprocating Elastomeric Seals,” Lubr. Eng., 46, No. 12, pp. 785–791.
Dowson, D., and Swales, P. D., 1967, “An Elastohydrodynamic Approach to the Problem of the Reciprocating Seal,” Proc. 3rd Int. Conf. Fluid Sealing, BHRA Fluid Eng., paper F3.
Hirano, F., and Kanetar, M., 1971, “Theoretical Investigation of Friction and Sealing Characteristics of Flexible Seals for Reciprocating Motion,” Proceedings of 5th International Conference on Fluid Sealing, BHRA Fluid Eng., paper G2, pp. G2-17–G2-32.
Hirano, F., and Kanetar, M., 1971, “Experimental Investigation of Friction and Sealing Characteristics of Flexible Seals for Reciprocating Motion,” Proceedings of the 5th International Conference on Fluid Sealing, BHRA Fluid Eng., paper G3, pp. G3-33–G3-48.
Hirano, F., and Kanetar, M., 1973, “Elastohydrodynamic Condition in Elliptic Contact in Reciprocating Motion,” Proc. 6th Int. Conf. on Fluid Sealing, BHRA Fluid Eng., paper C2, pp. C2-11–C2-24.
Karaszkiewicz,  A., 1987, “Hydrodynamics of Rubber Seals for Reciprocating Motion, Lubricating Film Thickness, and Out-Leakage of O-Seals,” Ind. Eng. Chem. Res., 26, No. 11, pp. 2180–2185.
Dowson, D., and Jin, Z. M. 1992, “Microelastohydrodynamic Lubrication of Low-elastic Modulus Solids on Rigid Substrates,” Frontiers of Tribology, A. D. Roberts, ed., Adam Hilger, New York, pp. A116–A123.
Stachowiak, G. W., and A. W. Batchelor, 1993, Eng. Tribology, Elsevier, New York, pp. 218–220.
Kanters,  A. F. C., and Visscher,  M., 1990, “Literature-Review and Discussion on Measurements of Leakage, Lubricant film thickness and Friction of Reciprocating Elastomeric Seals,” Lubr. Eng., 46, No. 12, pp. 785–791.
Prati,  E., and Strozzi,  A., 1984, “A Study of the Elastohydrodynamic Problem in Rectangular Elastomeric Seals,” ASME J. Tribol., 106, pp. 505–512.
Ruskell,  L. E., 1980, “A Rapidly Converging Theoretical Solution of the Elastohydrodynamic Problem for Rectangular Rubber Seals,” J. Mech. Eng. Sci., 22, No. 1, pp. 9–16.
Karnopp,  D., 1985, “Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems,” ASME J. Dyn. Syst., Meas., Control, 107, pp. 100–103.
Haessig,  D. A., and Friedland,  B., 1991, “On the Modeling and Simulation of Friction,” ASME J. Dyn. Syst., Meas., Control, 113, pp. 354–362.
Canudas de Wit,  C., Olsson,  H., Åström,  K. J., and Lischinsky,  P., 1995, “A New Model for Control of Systems with Friction,” IEEE Trans. Autom. Control., 40, No. 3, pp. 419–425.
Bo,  L. C., and Pavelescu,  D., 1982, “The Friction-Speed Relation and Its Influence on the Critical Velocity of the Stick-Slip Motion,” Wear, 82, No. 3, pp. 277–289.
Hess,  D. P., and Soom,  A., 1990, “Friction at a Lubricated Line Contact Operating at Oscillating Sliding Velocities,” ASME J. Tribol., 112, No. 1, pp. 147–152.
Armstrong-Hélouvry,  B., 1993, “Stick Slip and Control in Low-Speed Motion,” IEEE Trans. Autom. Control., 38, No. 10, pp. 1483–1496.
Armstrong-Hélouvry, B., 1991, Control of Machine with Friction, Kluwer Academic, Boston.
Kilburn,  R. F., 1974, “Friction Viewed as a Random Process,” ASME J. Lubr. Technol., 96, pp. 291–299.
Hsu, G., 1995, Stochastic Modelling and Identification of Lubricated Polymer Friction Dynamics, Dissertation, The University of Michigan, Ann Arbor, MI 1995.
Richards, S. C., and Roberts, A. D., 1992, “Boundary Lubrication of Rubber by Aqueous Surfactant” Frontiers of Tribology, A. D. Roberts, ed., Adam Hilger, New York, pp. A76–A80.
Granick, S., 1992, “Molecular Tribology of Fluids,” Fundamentals of Friction: Macroscopic and Microscopic Processes, I. L. Singer and H. M. Pollock, eds., Kluwer Academic Publishers, Boston, pp. 387–403.
Israelachvili, J. N., 1992, “Adhesion, Friction and Lubrication of Molecularly Smooth Surfaces,” Fundamentals of Friction: Macroscopic and Microscopic Processes, I. L. Singer and H. M. Pollock, eds., Kluwer Academic Publishers, Boston, pp. 351–385.
Guran, A., Pfeiffer F., and Popp, K., 1996, ed. Dynamics with Friction: Modeling, Analysis, and Experiment, World Scientific, New Jersey.
Ljung, L., 1987, System Identification: Theory for the User, Prentice-Hall, New Jersey.
Söderström, T., and Stoica, P., 1989, System Identification, Prentice-Hall, New Jersey.
Yang,  Y. P., and Chu,  J. S., 1993, “Adaptive Velocity Control of DC Motors with Coulomb Friction Identification,” J. Dyn. Syst., Meas., Control, 115, No. 1, pp. 95–102.
Laura, R. R., 1995, “Real Time Determination of Road Coefficient of Friction for IVHS and Advanced Vehicle Control,” Proceedings of the American Control Conference, Vol. 3, pp. 2133–2137.
Gustafsson, F., 1996, “Estimation and Detection of Tire-Road Friction Using the Wheel Slip,” Proceedings of the IEEE Symposium on Computer Aided Control System Design, pp. 99–104.
Dennis, J. E., and Schnabel, R. B., 1983, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, New Jersey.
Van Trees, H. L., 1968, Detection, Estimation, and Modulation Theory: Part I, Wiley, New York.
Anderson, B.D. O., and Moore, J. B., 1979 Optimal Filtering, Prentice-Hall, New Jersey.

Figures

Grahic Jump Location
Comparison of the deterministic model (dashed line) and the measured data (solid line)
Grahic Jump Location
Comparison of the overall stochastic model (dashed line) and the measured data (solid line)
Grahic Jump Location
The estimated normalized autocorrelation function of the prediction error of the stochastic model. The two parallel dashed lines denote 95% confidence interval.
Grahic Jump Location
A close-up of the extended Kalman filter’s estimates (marked by  * ) and the measured data (solid line) after 1 hour and 32 minutes of reciprocating sliding
Grahic Jump Location
The estimated normalized autocorrelation function of the prediction error of the extended Kalman filter after 1 hour and 32 minutes of reciprocating sliding. The two parallel dashed lines denote 95% confidence interval.
Grahic Jump Location
A close-up of the extended Kalman filter’s estimates (marked by  * ) and the measured data (solid line) after 8 hours of reciprocating sliding
Grahic Jump Location
The estimated normalized autocorrelation function of the prediction error of the extended Kalman filter after 8 hours of reciprocating sliding. The two parallel dashed lines denote 95% confidence interval.
Grahic Jump Location
The trajectory of parameter a2 after 1 hour and 32 minutes of reciprocating sliding
Grahic Jump Location
The trajectory of parameter a2 after 8 hours of reciprocating sliding
Grahic Jump Location
The trajectory of parameter β3 after 1 hour and 32 minutes of reciprocating sliding
Grahic Jump Location
The trajectory of parameter β3 after 8 hours of reciprocating sliding
Grahic Jump Location
Stribeck curve. The duty parameter is defined as μfv/Fn where μf is the lubricant viscosity, v is the sliding velocity, and Fn is the normal force per unit contact area.
Grahic Jump Location
A simplified condition of polymer-to-metal contact with lubricant. mh is the average separation between the polymer and metal surfaces with maximum MM and minimum Mm,As is the local deformation on the polymer surface with maximum AM and minimum Am.
Grahic Jump Location
Schematic of a hydraulic actuator, the seals are all made of polymers and both sides of the piston are filled with hydraulic fluid. Lubricated polymer friction exists at all seal-to-metal contacts.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In