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Optimization mechanism of targeted energy transfer with vibro-impact energy sink under periodic and transient excitation

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Abstract

This paper is dedicated to exploit the same optimization mechanism of targeted energy transfer under different types of excitation. Specifically, a linear oscillator (LO) coupled with a vibro-impact nonlinear energy sink is analytically studied with an asymptotical method. The optimization mechanism under periodic excitation with a single frequency and under transient excitation is numerically obtained and experimentally validated for the first time. For periodic excitation, the boundary between the regime with two impacts per cycle and that of strongly modulated response (SMR) is proved to be optimal rather than SMR. The chaotic SMR is experimentally observed from the viewpoint of displacement of LO. The above-observed mechanism is further applied to explain the optimization mechanism under transient excitation and that under periodic excitation with a range of frequency. It is experimentally verified that the optimization of the latter can be simplified to the optimization under an excitation with a single resonance frequency. For transient excitation, the efficiency of different transient response regimes is experimentally compared, which agrees with the periodic results. Moreover, the efficiency comparison of different lengths of cavity is also experimentally validated. In short, the close relation of optimization under different excitations is clearly demonstrated.

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Acknowledgements

The authors acknowledge the French Ministry of Science and the Chinese Scholarship Council under Grant No. 201304490063 for their financial support.

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Authors and Affiliations

  1. Institut Clément Ader (ICA), CNRS-INSA-ISAE-Mines Albi-UPS, Université de Toulouse, 3 rue Caroline Aigle, 31400, Toulouse, France

    Tao Li, Sébastien Seguy & Alain Berlioz

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  1. Tao Li
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  2. Sébastien Seguy
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Correspondence to Tao Li.

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Li, T., Seguy, S. & Berlioz, A. Optimization mechanism of targeted energy transfer with vibro-impact energy sink under periodic and transient excitation. Nonlinear Dyn 87, 2415–2433 (2017). https://doi.org/10.1007/s11071-016-3200-8

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  • DOI: https://doi.org/10.1007/s11071-016-3200-8

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