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Conference paper

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

In 7th European Nonlinear Dynamics Conference — 2011
From

Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark1

Department of Mechanical Engineering, Technical University of Denmark2

Dynamical systems, Department of Mathematics, Technical University of Denmark3

Department of Mathematics, Technical University of Denmark4

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.

Language: English
Year: 2011
Proceedings: 7th European Nonlinear Oscillations Conference
Types: Conference paper
ORCIDs: Schilder, Frank , Santos, Ilmar , Thomsen, Jon Juel and Starke, Jens

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