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Localization of Vibratory Energy of Main Linear/Nonlinear Structural Systems by Nonlinear Energy Sink

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Structural Nonlinear Dynamics and Diagnosis

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 168))

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Abstract

Two systems are considered: the system I is composed of a main linear structure which is coupled to a nonsmooth nonlinear energy sink. Here, effects of the gravity forces are not neglected. The system II consists of a main structure with a set of parallel Saint-Venant elements that is attached to a nonlinear energy sink with general odd nonlinear potential function. Time multi-scale energy exchanges between two oscillators is detected; in detail: the invariant manifold of the system at fast time scale is traced while detected equilibrium and singular points at slow time scale give us envision about system behavior(s) at pseudo-steady-state regime(s). All of detected behaviors provide us design tools for tuning necessary parameters of nonlinear energy sink for the localization of vibratory energy of main structural systems.

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Acknowledgments

The authors would like to thank the following organizations for supporting this research work: (i) LABEX CELYA (ANR-10-LABX-0060) of the “Université de Lyon” within the program “Investissement d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR); (ii) Peugeot Citroën Automobiles OpenLab, Vibro-Acoustic-Tribology@Lyon (VAT@Lyon).

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Authors and Affiliations

  1. ENTPE, Université de Lyon, LGCB and LTDS UMR CNRS 5513, Rue Maurice Audin, 69518, Vaulx En Velin, France

    C.-H. Lamarque & A. Ture Savadkoohi

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  1. C.-H. Lamarque
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  2. A. Ture Savadkoohi
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Correspondence to A. Ture Savadkoohi .

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  1. Laboratory of Mechanics, Hassan II-Casablanca University, Casablanca, Morocco

    Mohamed Belhaq

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Lamarque, CH., Ture Savadkoohi, A. (2015). Localization of Vibratory Energy of Main Linear/Nonlinear Structural Systems by Nonlinear Energy Sink. In: Belhaq, M. (eds) Structural Nonlinear Dynamics and Diagnosis. Springer Proceedings in Physics, vol 168. Springer, Cham. https://doi.org/10.1007/978-3-319-19851-4_11

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