The University of Southampton
University of Southampton Institutional Repository

Dynamics of an impact oscillator near a degenerate graze

Record type: Article

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.

PDF chatter8e.pdf - Author's Original
Download (1MB)

Citation

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).

More information

Submitted date: 5 January 2010
Accepted/In Press date: 16 August 2010
Published date: 3 September 2010
Keywords: impact oscillator, vibro-impact dynamics, chatter, non-smooth dynamical system

Identifiers

Local EPrints ID: 71868
URI: http://eprints.soton.ac.uk/id/eprint/71868
ISSN: 0951-7715
PURE UUID: b62e3579-844f-4f42-bb90-f9cb4703d966

Catalogue record

Date deposited: 08 Jan 2010
Last modified: 18 Jul 2017 23:58

Export record

Altmetrics

Contributors

University divisions


Download statistics

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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×