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TECHNICAL PAPERS

Damping in High Transient Motion

[+] Author and Article Information
A. Al Majid, R. Dufour

Laboratoire de Mécanique des Structures, UMR CNRS 5006, INSA de Lyon, 69621 Villeurbanne, France

J. Vib. Acoust 125(2), 223-227 (Apr 01, 2003) (5 pages) doi:10.1115/1.1547702 History: Received May 01, 2001; Revised November 01, 2002; Online April 01, 2003
Copyright © 2003 by ASME
Topics: Motion , Damping , Equations
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References

Lalanne,  M., 2000, “Review: Modeling Damping in Mechanical Engineering Structures,” Shock and Vib., 7, pp. 29–37.
Evan-Iwanowski, R. M., 1976, Resonance Oscillations in Mechanical Systems, Elsevier Scientific Publishing Company, Amsterdam.
Mitropol’dki, Yu, A., 1964, Problems of the Asymptotic Theory of Nonstationary Vibrations, translated from Russian by Gutfreund, Ch., Nauka, Moscow.
Nashif, A. H., Jones, D. I. G., and Henderson, J. P., 1985, Vibration Damping, J. Wiley & Sons, New York.
Al Majid,  A., and Dufour,  R., 2000, “An Event Dimension for Modeling Damping due to Time-Varying Forcing Frequency,” Nonlinear Dyn., 23(4), pp. 303–318.
Chilov, G., 1975, Analyse Mathématique Fonctions de Plusieurs Variables Réelles1émeet2émeparties, translated from Russian by Kharine, V. Mir Moscow.
Einstein, A., 1971, Four Conferences on the Theory of Relativity Made to the University of Princeton, translated from German to English by M. Solovine, Gauthier-Villars, Paris.
Einstein, A., 1971, The Theory of Relativity Restraint and General, Gauthier-Villars, Paris.
Appelquist, T., Chodos, A., and Freund, P. D. O., 1987, Modern Kaluza-Klein Theories, Addison-Wesley Publishing Co.
Adler, R., Bazin, M., and Schiffer, M., 1965, Introduction to General Relativity, McGraw-Hill.
Fock, V., 1961, The Theory of Space, Time and Gravitation, translated from Russian by Kemmer, N., Pergamon Press.
Elbaz, E., 1986, Relativité Générale et Gravitation, Edition Marketing.

Figures

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Force applied with time-varying frequency
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Measured and predicted (with classical model) results
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Measured and predicted (with proposed model) results
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Zoom on the measured and predicted (with proposed model) results
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Evolution of the classical and the proposed dampings during the simulation
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Evolution of the variable θ
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Evolution of the Lagrange function during simulation

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