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Controlling chaotic vibrations of an Euler–Bernoulli beam with an active control strategy

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Abstract

An active control strategy based on the fuzzy sliding mode control is developed in this research for controlling large-amplitude chaotic vibrations of an Euler–Bernoulli beam. The geometric nonlinearity of the beam is considered, and the beam is subjected to an external excitation. Corresponding to the established multi-dimensional system, an active control strategy is proposed for suppressing the vibrations of the system. A comparison between the vibrations of a single-dimensional system and a multi-dimensional system is performed. As found in the research, the higher order vibrations have significant influence on the entire vibration of the beam and must be considered in controlling the vibrations of the beam. The proposed active control strategy shows effectiveness and applicability in controlling the beam’s chaotic vibrations of large amplitude.

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Acknowledgments

The authors would like to acknowledge with great appreciation for the supports from National Science and Engineering Research Council of Canada (NSERC). The supports from the Nonlinear Science research team at the Sino-Canada Research Centre for Noise and Vibration Control are significant to the performance of the research.

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Authors and Affiliations

  1. Industrial Systems Engineering, Sino-Canada Research Centre for Noise and Vibration Control, University of Regina, Regina, SK , S4S 0A2, Canada

    Liming Dai & L. Sun

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  1. Liming Dai
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  2. L. Sun
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Correspondence to Liming Dai.

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Dai, L., Sun, L. Controlling chaotic vibrations of an Euler–Bernoulli beam with an active control strategy. Int. J. Dynam. Control 3, 425–436 (2015). https://doi.org/10.1007/s40435-014-0090-9

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  • DOI: https://doi.org/10.1007/s40435-014-0090-9

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