Change search
ReferencesLink to record
Permanent link

Direct link
Periodic Orbits Close to Grazing for an Impact Oscillator
KTH, School of Engineering Sciences (SCI), Mechanics.
2013 (English)In: Recent Trends in Dynamical Systems: Proceedings of a Conference in Honor of J├╝rgen Scheurle, Springer, 2013, 25-37 p.Conference paper (Refereed)
Abstract [en]

We show how the geometric impact surface approach to the dynamics of an impact oscillator provides an immediate visualization of the criteria that determine the existence of an impacting periodic orbit close to grazing. We recover the criteria set out earlier by A. Nordmark and indicate how the geometric setting and singularity geometry may be exploited to yield appropriate criteria in degenerate situations where the Nordmark criteria would not apply.

Place, publisher, year, edition, pages
Springer, 2013. 25-37 p.
, Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 35
Keyword [en]
Impact oscillators, Periodic orbits, Surface approach
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-143317DOI: 10.1007/978-3-0348-0451-6_2ScopusID: 2-s2.0-84893627693ISBN: 978-303480450-9OAI: diva2:706351
2012 International Conference Recent Trends in Dynamical Systems; Munich; Germany; 11 January 2012 through 13 January 2012

QC 20140320

Available from: 2014-03-20 Created: 2014-03-19 Last updated: 2014-03-20Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Nordmark, Arne B.
By organisation
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 15 hits
ReferencesLink to record
Permanent link

Direct link