Transient growth rates of near-grazing impact velocities: Theory and experiments
2009 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 325, no 4-5, 950-958 p.Article in journal (Refereed) Published
In this paper, nonsmooth fold bifurcations associated with the onset of low-relative- velocity (near-grazing) impacts in an oscillatory mechanical system are proposed as a potential operating principle for high-speed limit switches. Specifically, analytical, numerical, and experimental methods are employed to investigate the near-grazing transient behavior in a representative system. It is shown that the rate of growth of successive impact velocities increases beyond all bounds as the threshold parameter value is approached. A limit switch based on the proposed nonsmooth fold scenario would thus be expected to outperform one that relies on a smooth bifurcation, such as the cyclic-fold bifurcation, in terms of switching speed and sensitivity.
Place, publisher, year, edition, pages
London: Academic Press , 2009. Vol. 325, no 4-5, 950-958 p.
nonlinear dynamics, non-smooth dynamics, impacts
IdentifiersURN: urn:nbn:se:kth:diva-11069DOI: 10.1016/j.jsv.2009.04.012ISI: 000268515900019ScopusID: 2-s2.0-67649506227OAI: oai:DiVA.org:kth-11069DiVA: diva2:235372
QC 201008112009-09-152009-09-152016-09-27Bibliographically approved