Controlled onset of low-velocity collisions in a vibro-impacting system with friction
2009 (English)In: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, E-ISSN 1471-2946, Vol. 465, 3647-3665 p.Article in journal (Refereed) Published
This paper investigates the onset of low-velocity, near-grazing collisions in an example vibro-impacting system with dry friction with particular emphasis on feedback control strategies that regulate the grazing-induced bifurcation behaviour. The example system is characterized by a twofold degeneracy of grazing contact along an extremal stick solution that is shown to result in a locally one-dimensional and piecewise-linear description of the near-grazing dynamics. Explicit control strategies are derived that ensure a persistent, low-impact-velocity, steady-state response across the critical parameter value corresponding to grazing contact even in instances where the dynamics in the absence ofcontrol exhibit a sudden transition to a high-impact-velocity response.
Place, publisher, year, edition, pages
London: Royal Society Publishing , 2009. Vol. 465, 3647-3665 p.
non-smooth dynamics, nonlinear control, impacts, friction
IdentifiersURN: urn:nbn:se:kth:diva-11078DOI: 10.1098/rspa.2009.0207ISI: 000271274700004ScopusID: 2-s2.0-73149087013OAI: oai:DiVA.org:kth-11078DiVA: diva2:235384
QC 201008112009-09-152009-09-152010-12-07Bibliographically approved