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, 2723-2748. (doi:10.1088/0951-7715/23/11/001).


[img] PDF - Author's Original
Download (977Kb)


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
Subjects: T Technology > TJ Mechanical engineering and machinery
Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Chemistry
ePrint ID: 71868
Accepted Date and Publication Date:
5 January 2010Submitted
16 August 2010In press
3 September 2010Published
Date Deposited: 08 Jan 2010
Last Modified: 31 Mar 2016 13:03
URI: http://eprints.soton.ac.uk/id/eprint/71868

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics