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Experimental Study of Isolated Response Curves in a Two-Degree-of-Freedom Nonlinear System

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Abstract

In the present paper, the observation and characterization of isolated response curves (IRCs) are experimentally reported in the case of a nonlinear system consisting of two masses sliding on an horizontal guide. Transverse springs are attached to one mass to provide the nonlinear restoring force, and a harmonic motion of the complete system is imposed by prescribing the displacement of their supports. The existence of an IRC is related to a 3:1 internal resonance between the two modes of the system. The observed IRC is studied in detached and merged conditions using swept-sine excitations and system perturbations.

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Acknowledgements

The authors T. Detroux and G. Kerschen would like to acknowledge the financial support of the European Union (ERC Starting Grant NoVib 307265). The author J.P. Noël is a Postdoctoral Researcher of the Fonds de la Recherche Scientifique—FNRS which is also gratefully acknowledged.

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Correspondence to J. P. Noël .

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© 2016 The Society for Experimental Mechanics, Inc.

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Detroux, T., Noël, J.P., Kerschen, G., Virgin, L.N. (2016). Experimental Study of Isolated Response Curves in a Two-Degree-of-Freedom Nonlinear System. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-29739-2_21

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  • DOI: https://doi.org/10.1007/978-3-319-29739-2_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29738-5

  • Online ISBN: 978-3-319-29739-2

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