Dynamics of an impact oscillator near a degenerate graze

Chillingworth, D.R.J. (2010) Dynamics of an impact oscillator near a degenerate graze Nonlinearity, 23, pp. 2723-2748. (doi:10.1088/0951-7715/23/11/001).


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We give a complete analysis of low-velocity dynamics close to grazing
for a generic one degree of freedom impact oscillator.
This includes nondegenerate (quadratic) grazing and minimally
degenerate (cubic) grazing, corresponding respectively to nondegenerate
and degenerate chatter. We also describe the dynamics associated
with generic one-parameter bifurcation at a more degenerate (quartic)
graze, showing in particular how this gives rise to the often-observed
highly convoluted structure in the stable manifolds of chattering orbits.
The approach adopted is geometric, using methods from singularity theory.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1088/0951-7715/23/11/001
ISSNs: 0951-7715 (print)
Keywords: impact oscillator, vibro-impact dynamics, chatter, non-smooth dynamical system
ePrint ID: 71868
Date :
Date Event
5 January 2010Submitted
16 August 2010Accepted/In Press
3 September 2010Published
Date Deposited: 08 Jan 2010
Last Modified: 18 Apr 2017 21:00
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/71868

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