Skip to main content
Log in

Dynamical systems with unilateral contacts

  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

In the following a percussion drilling machine is examined as an example for mechanical systems with unilateral contacts. It is characteristic for such systems that the number of degrees of freedom changes during motion. To avoid a description of each possible system state using different sets of minimal coordinates, the constrained motion is taken into account by algebraic relations. This method has the advantage that the motion of the system and simultaneously the constraint forces are available, which is necessary to obtain conditions for a change in the state of the system. Furthermore different combinations of constraints can be easily taken into consideration in this way.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Brandl, H. and Hajek, M., ‘Mechanische Systeme mit Trockenreibung’, ZAMM 68, 1988, T59–T61.

    Google Scholar 

  2. Lötstedt, P., ‘Numerical simulation of time-dependent contact and friction problems in rigid body mechanics’, TRITA-NA-8214, 1982.

  3. Moreau, J. J., ‘Unilateral contact and dry friction in finite freedom dynamics’, Non-Smooth Mechanics and Applications, CISM Courses and Lectures, Springer-Verlag, 1987.

  4. Pfeiffer, F. and Kücükay, F., ‘Eine erweiterte mechanische Stosstheorie und ihre Anwendung in der Getriebedynamik’, VDI-Z 127, 1985, 341–349.

    Google Scholar 

  5. Pfeiffer, F., ‘Uber unstetige, insbesondere stosserregte Schwingungen’, Z. Flugwiss. Weltraumforsch., 1988, 12358–367.

  6. Pfeiffer, F., ‘Dynamical systems with time-varying or unsteady structure’, ZAMM 71, 1991, T6-T22.

    Google Scholar 

  7. Ueltzer, G., Uelzig-Thiel, R., and Schatte, M., ‘Ein mathematisches Schwingungsmodell für das menschliche Hand-Arm-System’, Maschinenbautechnik 29, 1980, 54–58.

    Google Scholar 

  8. Hajek, M., ‘Reibungsdämper für Turbinenlaufschaufeln’, VDI Fortschrittberichte, Reihe 11, Nr. 128, VDI-Verlag, 1990.

  9. Prestl, W., ‘Zahnhämmern in Rädertrieben von Dieselmotoren’, VDI Fortschrittberichte, Reihe 11, Nr. 145, VDI-Verlag, 1991.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Glocker, C., Pfeiffer, F. Dynamical systems with unilateral contacts. Nonlinear Dyn 3, 245–259 (1992). https://doi.org/10.1007/BF00045484

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00045484

Key words

Navigation