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TECHNICAL PAPERS

Two-Frequency Oscillation With Combined Coulomb and Viscous Frictions

[+] Author and Article Information
Gong Cheng, Jean W. Zu

Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8

J. Vib. Acoust 124(4), 537-544 (Sep 20, 2002) (8 pages) doi:10.1115/1.1502670 History: Received August 01, 2001; Revised May 01, 2002; Online September 20, 2002
Copyright © 2002 by ASME
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References

Den Hartog,  J. P., 1931, “Forced Vibrations with Combined Coulomb and Viscous Friction,” Trans. ASME, 53, pp. 107–115.
Caughey,  T. K., and Vijayaraghavan,  A., 1970, “Free and Forced Oscillations of a Dynamic System with ‘Linear Hysteretic Damping’ (Non-Linear Theory),” Int. J. Non-Linear Mech., 5, pp. 533–555.
Schlesinger,  A., 1979, “Vibration Isolation in the Presence of Coulomb Friction,” J. Sound Vib., 63, pp. 213–224.
Ferri,  A. A., and Dowell,  E. H., 1985, “The Behavior of a Linear, Damped Modal System with a Non-Linear Spring-Mass-Dry Friction Damper System Attached, Part II,” J. Sound Vib., 101, pp. 55–74.
Ferri,  A. A., and Dowell,  E. H., 1988, “Frequency Domain Solutions to Multi-Degree-of-Freedom, Dry Friction Damped Systems,” J. Sound Vib., 124, pp. 207–224.
Shaw,  S. W., 1986, “On the Dynamic Response of a System with Dry Friction,” J. Sound Vib., 108, pp. 305–325.
Anderson,  J. R., and Ferri,  A. A., 1990, “Behavior of a Single-Degree-of-Freedom System with a Generalized Friction Law,” J. Sound Vib., 140, pp. 287–304.
Makris,  N., and Constantinou,  M. C., 1991, “Analysis of Motion Resisted by Friction. I. Constant Coulomb and Linear/Coulomb Friction,” Mech. Struct. Mach. 19, pp. 477–500.
Ferri,  A. A., and Heck,  B. S., 1992, “Analytical Investigation of Damping Enhancement Using Active and Passive Structural Joints,” J. Guid. Control Dyn., 15, pp. 1258–1264.
Ferri,  A. A., 1995, “Friction Damping and Isolation Systems,” ASME J. Vibr. Acoust., 117(B), pp. 196–206.
Pfeiffer,  F., and Hajek,  M., 1992, “Stick-Slip Motion of Turbine Blade Dampers,” Philos. Trans. R. Soc. London, Ser. A, 338, pp. 503–517.
Feeny,  B. F., and Moon,  F. C., 1994, “Chaos in a Forced Oscillator with Dry Friction: Experiments and Numerical Modeling,” J. Sound Vib., 170, pp. 303–323.
Tan,  X., and Rogers,  R. J., 1995, “Equivalent Viscous Damping Models of Coulomb Friction in Multi-Degree-of-Freedom Vibration Systems,” J. Sound Vib., 185, pp. 33–50.
Sanliturk,  K. Y., and Ewins,  D. J., 1996, “Modelling Two-Dimensional Fric-tion Contact and Its Application Using Harmonic Balance Method,” J. Sound Vib., 193, pp. 511–523.
Whiteman,  W. E., and Ferri,  A. A., 1996, “Displacement-Dependent Dry Friction Damping of a Beam-Like Structure,” J. Sound Vib., 198, pp. 313–329.
Oancea,  V. G., and Laursen,  T. A., 1998, “Investigations of Low Frequency Stick-Slip Motion: Experiments and Numerical Modelling,” J. Sound Vib., 213, pp. 577–600.
Hong,  H. K., and Liu,  C. S., 2000, “Coulomb Friction Oscillator: Modelling and Responses to Harmonic Loads and Base Excitations,” J. Sound Vib., 229, pp. 1171–1192.

Figures

Grahic Jump Location
Phase angle response to two-frequency excitation with frequency ratio as parameter in non-stop vibration
Grahic Jump Location
Amplitude response to two-frequency excitation with frequency ratio as parameter in non-stop vibration
Grahic Jump Location
Phase angle response to two-frequency excitation with Coulomb friction as parameter in non-stop vibration
Grahic Jump Location
Amplitude response to two-frequency excitation with Coulomb friction as parameter in non-stop vibration
Grahic Jump Location
Amplitude response to single frequency excitation with Coulomb friction as parameter in non-stop vibration
Grahic Jump Location
Amplitude response to two-frequency excitation under strong Coulomb friction in non-stop vibration
Grahic Jump Location
Phase angle response to two-frequency excitation with frequency ratio as parameter in one-stop vibration
Grahic Jump Location
Amplitude response to two-frequency excitation with frequency ratio as parameter in one-stop vibration
Grahic Jump Location
Phase angle response to two-frequency excitation with Coulomb friction as parameter in one-stop vibration
Grahic Jump Location
Amplitude response to two-frequency excitation with Coulomb friction as parameter in one-stop vibration

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