Simulation and stability analysis of impacting systems with complete chattering
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
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.
Nonlinear dynamics, Impacting systems, Chattering, Stability analysis, Bifurcations, Discontinuity mappings, Numerical methods, Simulation, mechanical oscillators, sliding bifurcations, grazing bifurcations, mappings, motions
IdentifiersURN: urn:nbn:se:kth:diva-18770DOI: 10.1007/s11071-008-9463-yISI: 000269885100007ScopusID: 2-s2.0-70349220063OAI: oai:DiVA.org:kth-18770DiVA: diva2:336817
QC 201005252010-08-052010-08-052011-01-13Bibliographically approved