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

Emil Bureau, Frank Schilder, Ilmar Santos, Jon Juel Thomsen, Jens Starke

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Abstract

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.
Original languageEnglish
Title of host publication7th European Nonlinear Dynamics Conference
Publication date2011
Publication statusPublished - 2011
Event7th European Nonlinear Dynamics Conference - Department of Structural and Geotechnical Engineering of the Sapienza University of Rome, Rome, Italy
Duration: 24 Jul 201129 Jul 2011
Conference number: 7
http://w3.uniroma1.it/dsg/enoc2011/

Conference

Conference7th European Nonlinear Dynamics Conference
Number7
LocationDepartment of Structural and Geotechnical Engineering of the Sapienza University of Rome
CountryItaly
CityRome
Period24/07/201129/07/2011
Internet address

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