0
TECHNICAL PAPERS

Dynamic Instability of an Elastic Disk Under the Action of a Rotating Friction Couple

[+] Author and Article Information
H. Ouyang, J. E. Mottershead

Department of Engineering, University of Liverpool, Liverpool L69 3GH, UK

J. Appl. Mech 71(6), 753-758 (Jan 27, 2005) (6 pages) doi:10.1115/1.1795815 History: Received October 15, 2001; Revised April 12, 2004; Online January 27, 2005
Copyright © 2004 by ASME
Topics: Friction , Vibration , Disks , Force , Brakes
Your Session has timed out. Please sign back in to continue.

References

Mote,  C. D., 1970, “Stability of Circular Plates Subjected to Moving Loads,” J. Franklin Inst., 290, pp. 329–344.
Iwan,  W. D., and Moeller,  T. L., 1976, “The Stability of a Spinning Elastic Disc With a Transverse Load System,” ASME J. Appl. Mech., 43, pp. 485–496.
Yu,  R. L., and Mote,  C. D., 1987, “Vibration and Parametric Excitation in Asymmetric Plates Under Moving Loads,” J. Sound Vib., 119, pp. 409–427.
Jiang,  Z. W., Chonan,  S., and Abe,  H., 1990, “Dynamic Response of a Read/Write Head Floppy Disc System Subjected to Axial Excitation,” ASME J. Vibr. Acoust., 112, pp. 53–58.
Shen,  Y., and Mote,  C. D., 1991, “On the Mechanism of Instability of a Circular Plate Under a Rotating Spring-Mass-Dashpot System,” J. Sound Vib., 148, pp. 307–318.
Shen,  I. Y., 1993, “Response of a Stationary Damped Circular Plate Under a Rotating Slider Bearing System,” ASME J. Vibr. Acoust., 115, pp. 65–69.
Huang,  F. Y., and Mote,  C. D., 1996, “Mathematical Analysis of Stability of a Spinning Disc Under Rotating, Arbitrary Large Damping Force,” ASME J. Vibr. Acoust., 118, pp. 657–662.
Ono,  K., Chen,  J. S., and Bogy,  D. B., 1991, “Stability Analysis of the Head-Disk Interface in a Flexible Disc Drive,” ASME J. Appl. Mech., 58, pp. 1005–1014.
North, N. R., 1972, “Disc Brake Squeal—A Theoretical Model,” M.I.R.A. Research Report, No. 1972/5.
Lee,  D., and Waas,  A. M., 1997, “Stability Analysis of a Rotating Multi-Layer Annular Plate With a Stationary Frictional Follower Load,” Int. J. Mech. Sci., 39(10), pp. 1117–1138.
Chan,  S. N., Mottershead,  J. E., and Cartmell,  M. P., 1994, “Parametric Resonances at Subcritical Speeds in Discs With Rotating Frictional Loads,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 208, pp. 417–25.
Mottershead,  J. E., Ouyang,  H., Cartmell,  M. P., and Friswell,  M. I., 1997, “Parametric Resonances in an Annular Disc, With a Rotating System of Distributed Mass and Elasticity; and the Effects of Friction and Damping,” Proc. R. Soc. London, Ser. A, 453(1), pp. 1–19.
Ouyang,  H., Mottershead,  J. E., Cartmell,  M. P., and Friswell,  M. I., 1998, “Friction-Induced Parametric Resonances in Discs: Effect of a Negative Friction-Velocity Relationship,” J. Sound Vib., 209(2), pp. 251–264.
Tseng,  J.-G., and Wickert,  J. A., 1998, “Nonconservative Stability of a Friction Loaded Disc,” ASME J. Vibr. Acoust., 120, pp. 922–929.
Ouyang,  H., Mottershead,  J. E., Cartmell,  M. P., and Brookfield,  D. J., 1999, “Friction-Induced Vibration of an Elastic Slider on a Vibrating Disc,” Int. J. Mech. Sci., 41, pp. 325–336.
Ouyang,  H., Mottershead,  J. E., Brookfield,  D. J., James,  S., and Cartmell,  M. P., 2000, “A Methodology for the Determination of Dynamic Instabilities in a Car Disc Brake,” Int. J. Veh. Des., 23, pp. 241–262.
Ouyang,  H., and Mottershead,  J. E., 2001, “Optimal Suppression of Parametric Vibration in Discs Under Rotating Frictional Loads,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 215(1), pp. 65–75.
Tian,  J., and Hutton,  S. G., 1999, “Self-Excited Vibration in Flexible Rotating Disks Subjected to Various Transverse Interactive Forces: A General Approach,” ASME J. Appl. Mech., 66(3), pp. 800–805.
Mottershead,  J. E., 1998, “Vibration and Friction-Induced Instability in Discs,” Shock Vib. Dig., 30(1), pp. 14–31.
North,  N. R., 1976, “Disc Brake Squeal,” Proc. Inst. Mech. Eng., C38/76, pp. 169–176.
Hulten,  J., and Flint,  J., 2002, “Lining-Deformation-Induced Modal Coupling as Squeal Generator in a Distributed Parameter Disc Brake Model,” J. Sound Vib., 254(1), pp. 1–21.
Fryba, L., 1972, Vibration of Solids and Structures Under Moving Loads, Noordhoff, Groningen.
Oden,  J. T., and Martins,  J. A. C., 1985, “Models and Computational Methods for Dynamic Friction Phenomena,” Comput. Methods Appl. Mech. Eng., 52, pp. 527–643.
Ibrahim,  R. A., 1994, “Friction-Induced Vibration, Chatter, Squeal, and Chaos. Part 1: Mechanics of Friction; Part 2: Dynamics of Modeling,” Appl. Mech. Rev., 47, pp. 209–253.
Hulten, J. O., 1995, “Some Drum Brake Squeal Mechanisms,” Proc. of the 1995 Noise and Vibration Conference, Traverse City, Michigan, Vol. 1, pp. 377–388.
Popp, K., and Rudolph, M., 2001, “Brake Squeal,” In Detection, Utilization and Avoidance of Nonlinear Dynamical Effects in Engineering Applications, K. Popp (ed.) Aachen: Shaker Verlag, pp. 197–225.
Iwan,  W. D., and Stahl,  K. J., 1973, “The Response of an Elastic Disc With a Moving Mass System,” ASME J. Appl. Mech., 40, pp. 445–451.
Nayfeh, H., and Mook, D. T., 1979, Nonlinear Oscillation, Wiley, New York.

Figures

Grahic Jump Location
Circular plate under rotating sliders on both sides
Grahic Jump Location
Forces acting on the disk under sliders  
Grahic Jump Location
Region of instability (μs=0.55, εξ=0.0001, ες=0, εγ=0.002)
Grahic Jump Location
Region of instability (μs=0.55, εξ=0.00014, ες=0, εγ=0.002)
Grahic Jump Location
Regions of instability (μs=0.55, εξ=0.0001, ες=0.025, εγ=0.002)
Grahic Jump Location
Region of instability (μs=0.6, εξ=0.0001, ες=0, εγ=0.002)
Grahic Jump Location
Region of instability (μs=0.55, εξ=0.0001, ες=0, εκ=0.02)
Grahic Jump Location
Region of instability (μs=0.55, εξ=0.00014, ες=0, εκ=0.02)

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