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Simulation and stability analysis of impacting systems with complete chattering
KTH, School of Engineering Sciences (SCI), Mechanics, Biomechanics.
2009 (English)In: Nonlinear dynamics, ISSN 0924-090X, E-ISSN 1573-269X, Vol. 58, no 1-2, 85-106 p.Article in journal (Refereed) Published
Abstract [en]

This paper considers dynamical systems that are derived from mechanical systems with impacts. In particular we will focus on chattering-accumulation of impacts-for which local discontinuity mappings will be derived. We will first show how to use these mappings in simulation schemes, and secondly how the mappings are used to calculate the stability of limit cycles with chattering by solving the first variational equations.

Place, publisher, year, edition, pages
2009. Vol. 58, no 1-2, 85-106 p.
Keyword [en]
Nonlinear dynamics, Impacting systems, Chattering, Stability analysis, Bifurcations, Discontinuity mappings, Numerical methods, Simulation, mechanical oscillators, sliding bifurcations, grazing bifurcations, mappings, motions
Identifiers
URN: urn:nbn:se:kth:diva-18770DOI: 10.1007/s11071-008-9463-yISI: 000269885100007Scopus ID: 2-s2.0-70349220063OAI: oai:DiVA.org:kth-18770DiVA: diva2:336817
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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