Skip to main content
Log in

Rattling models from deterministic to stochastic processes

  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kücükay, F.,Dynamik der Zahnradgetriebe. Modell, Verfahren, Verhalten, Berlin. Heidelberg, New York, Springer, 1987.

    Google Scholar 

  2. Kücükay, F. and Pfeiffer, F., ‘Über Rasselschwingungen in Kfz-Schaltgetrieben’.Ingenieur Archiv 56, 1986, 25–37.

    Google Scholar 

  3. Pfeiffer, F., ‘Mechanische Systeme mit unstetigen Übergängen’.Ingenieur Archiv 54 (3). 1984, 232–240.

    Google Scholar 

  4. Pfeiffer, F., ‘On unsteady dynamics in machines with plays’.Proc. 7th World Congress on the Theory of Machines and Mechanisms. Sevilla. 1987.

  5. Karagiannis, K.,Analyse stoßbehafteter Schwingungssysteme mit Anwendung auf Rasselschwingungen in Getrieben. Fortschrittsberichte VDI Verlag. Düsseldorf, Reihe 11, Schwingungstechnik Nr. 125, 1989.

  6. Pfeiffer, F., ‘Seltsame Attraktoren in Zahnradgetrieben”,Ingenieur Archiv 58, 1988, 113–125.

    Google Scholar 

  7. 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.

    Google Scholar 

  8. Caughey, T. K., Nonlinear theory of random vibrations’, inAdvances in Applied Mechanics 11. Academic Press. New York, 1971, 209–253.

    Google Scholar 

  9. Risken, H..The Fokker-Planck Equation. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984.

    Google Scholar 

  10. Mitchell, A. R.,Computational Methods in Partial Differential Equations, John Wiley & Sons, London, New York, Sidney, Toronto, 1969.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pfeiffer, F., Kunert, A. Rattling models from deterministic to stochastic processes. Nonlinear Dyn 1, 63–74 (1990). https://doi.org/10.1007/BF01857585

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01857585

Key words

Navigation