Universal bifurcations in impact oscillators

J.G. Weger, de, D.J. Binks, J. Molenaar, W. Water, van de

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

We give experimental evidence for a new bifurcation structure that arises when smooth dynamical systems cross a boundary. Our experiment concerns a driven impacting leaf-spring oscillator with a very precise control of the driving amplitude. The results are in surprisingly good agreement with the predictions of a simple nonlinear mapping that is valid near grazing impact (i.e. impact with zero velocity). The agreement is surprising because a multitude of vibration modes of the spring is excited upon impact whereas the mapping is two-dimensional. Additionally, we consider the case where the impact is not instantaneous due to collisions with a nonrigid stop. This case can be captured by a mapping and we find strong support for the universality of impact phenomena, even in systems that have nonidealities.
Original languageEnglish
Title of host publicationInteraction between dynamics and control in advanced mechanical systems : proceedings of the IUTAM symposium, 21-26 April, 1996, Eindhoven, the Netherlands
EditorsD.H. Campen, van
Pages417-424
Publication statusPublished - 1996

Publication series

NameSolid Mechanics and its Applications
Volume52
ISSN (Print)0925-0042

Fingerprint Dive into the research topics of 'Universal bifurcations in impact oscillators'. Together they form a unique fingerprint.

  • Cite this

    Weger, de, J. G., Binks, D. J., Molenaar, J., & Water, van de, W. (1996). Universal bifurcations in impact oscillators. In D. H. Campen, van (Ed.), Interaction between dynamics and control in advanced mechanical systems : proceedings of the IUTAM symposium, 21-26 April, 1996, Eindhoven, the Netherlands (pp. 417-424). (Solid Mechanics and its Applications; Vol. 52).