Experimental and numerical investigation of chaotic regions in the triple physical pendulum |
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Authors: | Jan Awrejcewicz Grzegorz Kudra Grzegorz Wasilewski |
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Institution: | (1) Department of Automatics and Biomechanics, Technical University of Łódź, 1/15 Stefanowskiego, 90-924 Łódź, Poland |
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Abstract: | The experimental and numerical analysis of triple physical pendulum is performed. The experimental setup of the triple pendulum
with the first body externally excited by the square function and the widely used LabView measure-programming system, which
is designed especially for measure data processing and acquisition, are described. The mathematical model of the system is
then introduced. The parameters of the model are estimated by minimization of the sum of squares of deviations between the
signal from the simulation and the signal from the experiment. A good agreement between results from experiment and from simulation
is shown in few examples, including periodic as well as chaotic solutions. |
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Keywords: | Triple pendulum Experiment LabView Modeling Identification Chaos Lyapunov exponents |
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