Periodic sticking motion in a two-degree-of-freedom impact oscillator

DJ Wagg

Research output: Contribution to journalArticle (Academic Journal)peer-review

58 Citations (Scopus)

Abstract

Periodic sticking motions can occur in vibro-impact systems for certain parameter ranges. When the coefficient of restitution is low (or zero), the range of periodic sticking motions can become large. In this work the dynamics of periodic sticking orbits with both zero and non-zero coefficient of restitution are considered. The dynamics of the periodic orbit is simulated as the forcing frequency of the system is varied. In particular, the loci of Poincaré fixed points in the sticking plane are computed as the forcing frequency of the system is varied. For zero coefficient of restitution, the size of the sticking region for a particular choice of parameters appears to be maximized. We consider this idea by computing the sticking region for zero and non-zero coefficient of restitution values. It has been shown that periodic sticking orbits can bifurcate via the rising/multi-sliding bifurcation. In the final part of this paper, we describe three types of post-bifurcation behavior which occur for the zero coefficient of restitution case. This includes two types of rising bifurcation and a border orbit crossing event.
Translated title of the contributionPeriodic sticking motion in a two-degree-of-freedom impact oscillator
Original languageEnglish
Pages (from-to)1076 - 1087
Number of pages12
JournalInternational Journal of Non-Linear Mechanics
Volume40 (8)
DOIs
Publication statusPublished - Oct 2005

Bibliographical note

Publisher: Elsevier

Fingerprint Dive into the research topics of 'Periodic sticking motion in a two-degree-of-freedom impact oscillator'. Together they form a unique fingerprint.

Cite this