Abstract
We consider the dynamics of a class of systems collectively known as impact oscillators. In general these consist of an oscillator system which has motion limiting constraints, against which system components can impact. Assuming that the time of impact is short compared to dynamical time, the simplest form mathematical model incorporates a coefficient of restitution rule at impact. Even if the motion between impacts is assumed to be linear, nonlinearity is introduced to the system by the nonsmooth effect of the impact. These systems have been widely studied in recent years after the work of Shaw and Holmes (1983).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bishop, S. R., Thompson, M. G. and Foale, S. (1992) Prediction of period-1 impacts in a driven beam, Proceedings of the Royal Society of London A 452, pp 2579–2592.
Cusumano, J.P.and Bai, B-Y. (1993) Period-infinity periodic motions, chaos and spatial coherence in a 10 degree of freedom impact oscillator, Chaos, Solitions and Fractals 3, pp 515–536.
Hinrichs, N., Oestreich, M. and Popp, K. (1997) Dynamics of oscillators with impact and friction, Chaos, Solitons and Fractals 8(4), pp 535–558.
Oestreich, M., Hinrichs, N., Popp, K. and Budd, C. J. (1997) Analytical and experimental investigation of an impact oscillator, ASME Design Engineering Technical Conferences DETC97VIB-3907, Sacramento, California.
Shaw, S. W. and Holmes, P. J. (1983) A periodically forced piecewise linear oscillator, Journal of Sound and Vibration 90(1), pp 129–155.
Thompson, M. G., Bishop, S. R. and Foale, S. (1994) An experimental study of low velocity impacts, Machine Vibration 3, pp 10–17.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Wagg, D.J., Bishop, S.R. (1999). A Multi-Degree of Freedom Approach to Coefficient of Restitution Models for Impact Oscillators. In: Pfeiffer, F., Glocker, C. (eds) IUTAM Symposium on Unilateral Multibody Contacts. Solid Mechanics and its Applications, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4275-5_15
Download citation
DOI: https://doi.org/10.1007/978-94-011-4275-5_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5853-7
Online ISBN: 978-94-011-4275-5
eBook Packages: Springer Book Archive