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Experimental and numerical investigation of chaotic regions in the triple physical pendulum
Authors:Jan Awrejcewicz  Grzegorz Kudra  Grzegorz Wasilewski
Institution:(1) Department of Automatics and Biomechanics, Technical University of Łódź, 1/15 Stefanowskiego, 90-924 Łódź, Poland
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.
Keywords:Triple pendulum  Experiment  LabView  Modeling  Identification  Chaos  Lyapunov exponents
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