A perturbation analysis of nonlinear squeal vibrations in aircraft braking systems

Proceedings of the ASME Design Engineering Technical Conference

Volumn 1D-1997, Issue , 1997, Pages

  Gordon, James T ^a  

^a BOEING COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT; BRAKES; FRICTION; HOPF BIFURCATION; NONLINEAR ANALYSIS; NONLINEAR EQUATIONS;

AIRCRAFT BRAKING SYSTEMS; DESTABILIZING MECHANISMS; FRICTION COEFFICIENTS; HOPF-PITCHFORK BIFURCATIONS; MECHANICAL AND MATERIAL PROPERTIES; NON-LINEAR STIFFNESS; PERTURBATION ANALYSIS; UNSTABLE LIMIT CYCLES;

VIBRATION ANALYSIS;

EID: 70349985657     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC97/VIB-4163     Document Type: Conference Paper

References (12)

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2. Gordon, J.T., and Merchant, H.C., 1978, "An Asymptotic Method for Predicting Amplitudes of Nonlinear Wheel Shimmy," Journal of Aircraft, Vol. 15, No. 3, pp. 155-159.
3. Golubitsky, M. and Schaeffer, D.G., 1985, Singularities and Groups in Bifucation Theory - Volume I, Springer-Verlag New York Inc., New York.
4. Ibrahim, R.A., 1994a, "Friction-Induced Vibration, Chatter, Squeal, and Chaos, Part I: Mechanics of Contact and Friction," Applied Mechanics Review, Vol. 47, No. 7, pp. 209-226.
5. Ibrahim, R.A., 1994b, "Friction-Induced Vibration, Chatter, Squeal, and Chaos, Part II: Dynamics and Modeling," Applied Mechanics Review, Vol. 47, No. 7, pp. 227-253.
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7. Liu, S.Y., Gordon, J.T., and Özbek, M.A., 1996, "A Nonlinear Model for Aircraft Brake Squeal Analysis, Part I: Model Description and Solution Methodology," A Collection of Technical Papers, pp. 406-416, AIAA-96-1251-CP (Submitted to Journal of Aircraft).
8. Minorsky, N, 1974, Nonlinear Oscillations, Reprint of the 1962 ed. by Van Nostrand, Princeton, N.J., Robert E. Krieger, Huntington, New York, pp. 163-185.
9. Morino, L., 1969, "A Perturbation Method for Treating Nonlinear Panel Flutter Problems," AIAA Journal, Vol. 7, No. 3, pp. 405-411.
10. Nayfeh, A.H., and Mook, D.T., 1979, Nonlinear Oscillations, John Wiley & Sons, Inc., New York.
11. Smith, L.L., and Morino, L., 1976, "Stability Analysis of Nonlinear Differential Autonomous Systems With Application to Flutter," AIAA Journal, Vol. 14, No. 3, pp. 333-341.
12. Tworzydlo, W.W., Becker, E.B., and Oden, J.T., 1992, "Numerical Modeling of Friction-Induced Vibrations and Dynamic Instabilities," Friction-Induced Vibration, Chatter, Squeal, and Chaos, Proceedings ASME Winter Annual Meeting, DE-Vol 49, pp. 13-32.