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Dynamics of a driven oscillator carrying a freely sliding mass

Többens, Alexander and Mettin, Robert and Parlitz, Ulrich (2011) Dynamics of a driven oscillator carrying a freely sliding mass. International Journal of Bifurcation and Chaos, Vol. 22 (Issue No. 6). World Scientific Publishing Co. ISBN 1250132

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Abstract

A mathematical model for a nonlinear oscillator, which is composed of an oscillating mass interacting with a freely sliding friction damper, is introduced and investigated. This oscillator is a strongly simplified model for a damping principle applied to turbine blades to suppress oscillations induced by inhomogeneous flow fields. It exhibits periodic, quasi-periodic, as well as chaotic dynamics occuring suddenly due to adding sliding bifurcations. Mathematically, the oscillator is given as a piecewise smooth (Filippov) system with a switching manifold corresponding to the sticking phase of the damper mass. The rich dynamics of this system is analyzed and illustrated by means of resonance curves, Lyapunov diagrams, Poincaré sections and reductions to iterated one-dimensional maps.

Item URL in elib:https://elib.dlr.de/70312/
Document Type:Article
Title:Dynamics of a driven oscillator carrying a freely sliding mass
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Többens, AlexanderUNSPECIFIEDUNSPECIFIED
Mettin, RobertThird Institute of Physics, Georg-August-Universität GöttingenUNSPECIFIED
Parlitz, UlrichMax Planck Institute for Dynamics and Self-OrganizationUNSPECIFIED
Date:2011
Journal or Publication Title:International Journal of Bifurcation and Chaos
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:Vol. 22
Publisher:World Scientific Publishing Co
ISBN:1250132
Status:Published
Keywords:Filippov system, sliding bifurcation, friction damping, non-smooth dynamics, stickslip
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment (old)
Location: Göttingen
Institutes and Institutions:Institute of Aeroelasticity
Deposited By: Erdmann, Daniela
Deposited On:08 Nov 2011 16:57
Last Modified:06 Sep 2019 15:21

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