Experimental bifurcation analysis for a driven nonlinear flexible pendulum using control-based continuation

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2011

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Experimental bifurcation analysis for a driven nonlinear flexible pendulum using control-based continuation. / Bureau, Emil; Schilder, Frank; Santos, Ilmar; Thomsen, Jon Juel; Starke, Jens.

7th European Nonlinear Dynamics Conference. 2011.

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2011

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Bureau, Emil; Schilder, Frank; Santos, Ilmar; Thomsen, Jon Juel; Starke, Jens / Experimental bifurcation analysis for a driven nonlinear flexible pendulum using control-based continuation.

7th European Nonlinear Dynamics Conference. 2011.

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2011

Bibtex

@inbook{365062fc60ad43be93f87f3502f274ad,
title = "Experimental bifurcation analysis for a driven nonlinear flexible pendulum using control-based continuation",
author = "Emil Bureau and Frank Schilder and Ilmar Santos and Thomsen, {Jon Juel} and Jens Starke",
year = "2011",
booktitle = "7th European Nonlinear Dynamics Conference",

}

RIS

TY - GEN

T1 - Experimental bifurcation analysis for a driven nonlinear flexible pendulum using control-based continuation

A1 - Bureau,Emil

A1 - Schilder,Frank

A1 - Santos,Ilmar

A1 - Thomsen,Jon Juel

A1 - Starke,Jens

AU - Bureau,Emil

AU - Schilder,Frank

AU - Santos,Ilmar

AU - Thomsen,Jon Juel

AU - Starke,Jens

PY - 2011

Y1 - 2011

N2 - We present a software toolbox that allows to apply continuation methods directly to a controlled lab experiment. This toolbox enables us to systematically explore how stable and unstable steady state periodic vibrations depend on parameters. The toolbox is implemented partly in MATLAB and partly on a dSPACE realtime controller board. Its functionality is tested on a driven mechanical oscillator with a strong impact nonlinearity, controlled with electromagnetic actuators. We show how to tune a controller so that the steady state dynamics of the controlled experiment matches that of the corresponding un-controlled experiment.

AB - We present a software toolbox that allows to apply continuation methods directly to a controlled lab experiment. This toolbox enables us to systematically explore how stable and unstable steady state periodic vibrations depend on parameters. The toolbox is implemented partly in MATLAB and partly on a dSPACE realtime controller board. Its functionality is tested on a driven mechanical oscillator with a strong impact nonlinearity, controlled with electromagnetic actuators. We show how to tune a controller so that the steady state dynamics of the controlled experiment matches that of the corresponding un-controlled experiment.

BT - 7th European Nonlinear Dynamics Conference

T2 - 7th European Nonlinear Dynamics Conference

ER -