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

Journal of Vibration and Acoustics, Transactions of the ASME - Tập 127 Số 1 - Trang 52-60 - 2005
Xi Shi1, Andreas A. Polycarpou1
1Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Tóm tắt

Modeling of contact interfaces that inherently include roughness such as joints, clamping devices, and robotic contacts, is very important in many engineering applications. Accurate modeling of such devices requires knowledge of contact parameters such as contact stiffness and contact damping, which are not readily available. In this paper, an experimental method based on contact resonance is developed to extract the contact parameters of realistic rough surfaces under lightly loaded conditions. Both Hertzian spherical contacts and flat rough surfaces in contact under normal loads of up to 1000 mN were studied. Due to roughness, measured contact stiffness values are significantly lower than theoretical values predicted from smooth surfaces in contact. Also, the measured values favorably compare with theoretical values based on both Hertzian and rough contact surfaces. Contact damping ratio values were found to decrease with increasing contact load for both Hertzian and flat surfaces. Furthermore, Hertzian contacts have larger damping compared to rough flat surfaces, which also agrees with the literature. The presence of minute amount of lubricant and wear debris at the interface was also investigated. It was found that both lubricant and wear debris decrease the contact stiffness significantly though only the lubricant significantly increases the damping.

Từ khóa


Tài liệu tham khảo

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-He´louvry, 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.

Thông tin
Thông tin xuất bản

Journal of Vibration and Acoustics, Transactions of the ASME

Tập 127 Số 1

52-60

Thông tin tác giả