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.
Similar content being viewed by others
References
Brandl, H. and Hajek, M., ‘Mechanische Systeme mit Trockenreibung’, ZAMM 68, 1988, T59–T61.
Lötstedt, P., ‘Numerical simulation of time-dependent contact and friction problems in rigid body mechanics’, TRITA-NA-8214, 1982.
Moreau, J. J., ‘Unilateral contact and dry friction in finite freedom dynamics’, Non-Smooth Mechanics and Applications, CISM Courses and Lectures, Springer-Verlag, 1987.
Pfeiffer, F. and Kücükay, F., ‘Eine erweiterte mechanische Stosstheorie und ihre Anwendung in der Getriebedynamik’, VDI-Z 127, 1985, 341–349.
Pfeiffer, F., ‘Uber unstetige, insbesondere stosserregte Schwingungen’, Z. Flugwiss. Weltraumforsch., 1988, 12358–367.
Pfeiffer, F., ‘Dynamical systems with time-varying or unsteady structure’, ZAMM 71, 1991, T6-T22.
Ueltzer, G., Uelzig-Thiel, R., and Schatte, M., ‘Ein mathematisches Schwingungsmodell für das menschliche Hand-Arm-System’, Maschinenbautechnik 29, 1980, 54–58.
Hajek, M., ‘Reibungsdämper für Turbinenlaufschaufeln’, VDI Fortschrittberichte, Reihe 11, Nr. 128, VDI-Verlag, 1990.
Prestl, W., ‘Zahnhämmern in Rädertrieben von Dieselmotoren’, VDI Fortschrittberichte, Reihe 11, Nr. 145, VDI-Verlag, 1991.
Author information
Authors and Affiliations
Rights 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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00045484