Measurement and Modeling of Normal Contact Stiffness and Contact Damping at the Meso Scale

[+] Author and Article Information
Xi Shi, Andreas A. Polycarpou

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

J. Vib. Acoust 127(1), 52-60 (Mar 21, 2005) (9 pages) doi:10.1115/1.1857920 History: Received September 01, 2003; Revised February 06, 2004; Online March 21, 2005
Copyright © 2005 by ASME
Your Session has timed out. Please sign back in to continue.


Maekawa, H., and Komoriya K., 2001, “Development of a Micro Transfer Arm for a Microfactory,” Proceedings of the 2001 IEEE International Conference on Robotics & Automation, pp. 1444–1451.
Armstrong-Hélouvry, B., 1991, Control of Machines with Friction, Kluwer Academic, Boston.
Maruyama,  T., Sanda,  S., Sato,  M., and Uchiyama,  T., 1990, “Hand-eye System with Three-Dimensional Vision and Microgripper for Handling Flexible Wires,” Mach. Vision Appl., 3, pp. 189–199.
Bhushan, B., 1996, Tribology and Mechanics of Magnetic Storage Devices, 2nd ed. Springer, New York.
Rohde, S. M., 1980, “A Mixed Friction Model for Dynamically Loaded Contacts with Application to Piston Ring Lubrication,” Surface Roughness Effects in Hydrodynamic and Mixed Lubrication, ASME-The Lubrication Division, pp. 29–50.
Johnson,  K. L., Greenwood,  J. A., and Poon,  S. Y., 1972, “A Simple Theory of Asperity Contact in Elastohydrodynamic Lubrication,” Wear, 19, pp. 91–108.
Johnson, K. L. 1985, Contact Mechanics, Cambridge University Press, London.
Greenwood,  J. A., and Williamson,  J. P. B., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300–319.
Polycarpou,  A. A., and Soom,  A., 1995, “Boundary and Mixed Friction in the Presence of Dynamic Normal Loads. I. System Model,” ASME J. Tribol., 117, pp. 255–260.
Song,  Y., Hartwigsen,  C. J., Bergman,  L. A. and Vakakis,  A. F., 2004, “Simulation of Dynamics of Beam Structures with Bolted Joints Using Adjusted Iwan Beam Elements,” J. Sound Vib., 273(1-2), pp. 249–276.
Serpe, C. I., 1999, “The Role of Contact Compliance in the Deformation, Wear and Elastic Stability of Metallic Sliding Rings: Experiments and Computational Analysis,” Ph.D. Dissertation, State University of New York at Buffalo, NY.
Hess,  D. P., and Wagh,  N. J., 1995, “Evaluating Surface Roughness From Contact Vibrations,” ASME J. Tribol., 117, pp. 60–64.
Robinson,  A. M., Drinkwater,  B. W., Dwyer-Joyce,  R. S., and Payne,  J. F. B., 2001, “Measurement of the Stiffness of Joints in Graphite Brick Assembly,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 215, pp. 167–178.
Dwyer-Joyce,  R. S., Drinkwater,  B. W., and Quinn,  A. M., 2001, “The Use of Ultrasound in the Investigation of Rough Surface Interfaces,” ASME J. Tribol., 123, pp. 8–16.
Syed Asif,  S. A., Wahl,  K. J., Colton,  R. J., and Warren,  O. L., 2001, “Quantitative Imaging of Nanoscale Mechanical Properties Using Hybrid Nanoindentation and Force Modulation,” J. Appl. Phys., 90, pp. 1192–1200.
Gao,  H., and Wu,  T., 1993, “A Note on the Elastic Contact Stiffness of a Layered Medium,” Mater. Res. Soc. Symp. Proc., 8, pp. 3229–3232.
Li,  X., and Bhushan,  B., 2000, “Development of Continuous Stiffness Measurement Technique for Composite Magnetic Tapes,” Scr. Mater., 42, pp. 929–935.
Williams, J. A., 1994, Engineering Tribology, Oxford University Press, New York.
Greenwood,  J. A., and Tripp,  J. H., 1967, “The Elastic Contact of Rough Spheres” ASME J. Appl. Mech., 34E, pp. 153–159.
Chang,  W. R., Etsion,  I., and Bogy,  D. B., 1987, “An Elastic-Plastic Model for the Contact of Rough Surfaces,” ASME J. Tribol., 109, pp. 257–263.
Polycarpou,  A. A., and Etsion,  I., 1999, “Analytical Approximations in Modeling Contacting Rough Surfaces,” ASME J. Tribol., 121, pp. 234–239.
Inman, D. J., 1996, Engineering Vibration, Prentice-Hall, Englewood Cliffs, NJ.
Spence,  D. A., 1975, “The Hertz contact problem with finite friction,” J. Elast., 5, pp. 297–319.
Fang,  B., Devor,  R. E., and Kapoor,  S. G., 2002, “Influence of Friction Damping on Workpiece-Fixture System Dynamics and Machining Stability,” ASME J. Manuf. Sci. Eng., 124, pp. 226–233.


Grahic Jump Location
Schematic of a Hertzian contact: (a) smooth interface, (b) rough interface
Grahic Jump Location
(a) Infinitely smooth surfaces in contact; (b) rough flat surfaces in contact; (c) GW contact model
Grahic Jump Location
Analytical contact stiffness versus contact load
Grahic Jump Location
Meso-scale contact stiffness and damping tester (a) schematic, (b) system model
Grahic Jump Location
Calibration of the strain gauge used for measuring the normal contact load
Grahic Jump Location
(a) Typical acceleration signal, (b) average spectra for rough flat surfaces contact with three different contact loads
Grahic Jump Location
Hertzian contact: (a) contact stiffness; (b) contact damping ratio versus contact load
Grahic Jump Location
Flat rough contacting surfaces: (a) contact stiffness; (b) contact damping ratio versus contact load
Grahic Jump Location
Experimental measurements for flat rough contacting surfaces under different conditions: (a) contact stiffness; (b) contact damping ratio versus contact load



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