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Parametric identification of a chaotic base-excited double pendulum experiment

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Abstract

The parametric identification of a chaotic system was investigated for a double pendulum. From recorded experimental response data, the unstable periodic orbits (UPOs) were extracted and then used in a harmonic balance identification process. By applying digital filtering, digital differentiation and linear regression techniques for optimization, the results were improved. Verification of the related simulation system and linearized system also corroborated the success of the identification algorithm.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Michigan State University, East Lansing, MI, 48824, USA

    Yang Liang & B. F. Feeny

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  1. Yang Liang
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  2. B. F. Feeny
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Correspondence to Yang Liang.

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Liang, Y., Feeny, B.F. Parametric identification of a chaotic base-excited double pendulum experiment. Nonlinear Dyn 52, 181–197 (2008). https://doi.org/10.1007/s11071-007-9270-x

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  • DOI: https://doi.org/10.1007/s11071-007-9270-x

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