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Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink

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Abstract

This work proposes on a novel continuum vibratory absorber that integrates a lever-type nonlinear energy sink (LNES) with asymmetric elastic boundary into viscoelastic Euler–Bernoulli beam condition to attenuate vibration. The steady-state response of the system is studied both numerically and analytically, and consistent results are found. In the process of studying the influences of the LNES coefficients, special attention is paid to the repetitious emergence of a closed detached response (CDR), which is firstly observed in the continuum system. It emphasizes that bifurcation of the system may take place many times. Meantime, it underscores that the amplitude-frequency response after adding the resonance absorber would diminish gradually, not abruptly. And the intimate connection between the existence of the CDR and the primary response is further investigated. The CDR could dramatically influence the peak of the resonance response and help to suppress the vibration. Furthermore, comparing with the same system coupled to the traditional NES, greater performance of the LNES is presented. It is valued that the vibration suppression scheme we proposed can play a significant role in vibration attenuation of a continuum system.

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The raw/processed data required to reproduce these findings cannot be shared at this time as the data also forms part of an ongoing study.

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Acknowledgements

The work presented in this paper was supported by the National Natural Science Foundation of China (11902203, 12022213) and Liaoning Revitalization Talents Program (XLYC1807172).

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  1. College of Aerospace Engineering, Shenyang Aerospace University, Shenyang, 110136, People’s Republic of China

    Jian Zang, Run-Qing Cao & Ye-Wei Zhang

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  1. Jian Zang
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  2. Run-Qing Cao
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Correspondence to Ye-Wei Zhang.

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Zang, J., Cao, RQ. & Zhang, YW. Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink. Nonlinear Dyn 105, 1327–1341 (2021). https://doi.org/10.1007/s11071-021-06625-7

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