Abstract
Rattling in gears is a consequence of backlashes. It can be generated in those gear-wheels of a car transmission system, which are not under load. Models of rattling are established in three stages. from a straightforward patching method we proceed to a discrete mapping description and to a stochastic model applying the well-known Fokker-Planck equation. All three model stages are consistent and, moreover, they represent a good picture of the real world, which has been proven by tests.
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References
Kücükay, F.,Dynamik der Zahnradgetriebe. Modell, Verfahren, Verhalten, Berlin. Heidelberg, New York, Springer, 1987.
Kücükay, F. and Pfeiffer, F., ‘Über Rasselschwingungen in Kfz-Schaltgetrieben’.Ingenieur Archiv 56, 1986, 25–37.
Pfeiffer, F., ‘Mechanische Systeme mit unstetigen Übergängen’.Ingenieur Archiv 54 (3). 1984, 232–240.
Pfeiffer, F., ‘On unsteady dynamics in machines with plays’.Proc. 7th World Congress on the Theory of Machines and Mechanisms. Sevilla. 1987.
Karagiannis, K.,Analyse stoßbehafteter Schwingungssysteme mit Anwendung auf Rasselschwingungen in Getrieben. Fortschrittsberichte VDI Verlag. Düsseldorf, Reihe 11, Schwingungstechnik Nr. 125, 1989.
Pfeiffer, F., ‘Seltsame Attraktoren in Zahnradgetrieben”,Ingenieur Archiv 58, 1988, 113–125.
Kunert, A. and Pfeiffer, F.: Stochastic model for rattling in gear boxes’,Proceedings of the IUTAM Symposium Stuttgart. W. Germany. Aug. 21–25, 1989, Springer-Verlag, Berlin, Heidelberg, 1990.
Caughey, T. K., Nonlinear theory of random vibrations’, inAdvances in Applied Mechanics 11. Academic Press. New York, 1971, 209–253.
Risken, H..The Fokker-Planck Equation. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984.
Mitchell, A. R.,Computational Methods in Partial Differential Equations, John Wiley & Sons, London, New York, Sidney, Toronto, 1969.
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Pfeiffer, F., Kunert, A. Rattling models from deterministic to stochastic processes. Nonlinear Dyn 1, 63–74 (1990). https://doi.org/10.1007/BF01857585
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DOI: https://doi.org/10.1007/BF01857585