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A novel vari-potential bistable nonlinear energy sink for improved vibration suppression: numerical and experimental study

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Abstract

A novel vari-potential energy bistable nonlinear energy sink (VBNES) is proposed in this paper. By introducing a pair of tuned oscillators (TOs) to dynamically adjust the potential barrier height of the BNES, the excitation threshold of the strong modulated response (SMR) is reduced and its vibration suppression ability is enhanced, especially under ultra-low and wide-amplitude excitation. Firstly, the dimensionless theoretical models of the VBNES and the fixed-potential BNES (FBNES) are constructed by the Lagrange equation. The actual response trajectories on the potential energy surface and restoring force surface are numerically tracked to verify the benefit of variable potential energy effect on vibration suppression. The dynamical characteristics of the typical target energy transfer (TET) mechanisms of the VBNES and their contributions to energy dissipation are analyzed. Furthermore, the transient responses and energy dissipation rates of the VBNES and FBNES with optimal stiffness under impact excitation are compared. The results indicate that the VBNES has higher impact vibration absorption efficiency and stronger robustness. The influences of system parameters on energy dissipation rate are analyzed. Finally, the experimental and numerical studies under harmonic excitation are carried out. The experimental results verify the correctness of the theoretical model. The complex dynamics under numerical frequency and amplitude sweeps demonstrate that the VBNES has a lower SMR excitation threshold and broadband vibration suppression ability. This work provides a novel and valuable NES model and numerical evidence for low-frequency and low-amplitude vibration suppression.

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No datasets are associated with this manuscript. The datasets used for generating the plots and results during the current study can be directly obtained from the numerical simulation of the related mathematical equations in the manuscript.

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Funding

The funding was provided by National Natural Science Foundation of China (Grant No. 11902207), Natural Science Foundation of Hebei Province, (Grant No. A2020210018), Hebei Province Foreign Special Talent Introduction Plan Project, Postdoctoral grant project supported by China Scholarship Council and Chongqing Engineering Research Center for Advanced Intelligent Manufacturing Technology, (Grant No. ZNZZXDJS202008).

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Authors and Affiliations

  1. School of Mechanical Engineering, State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, 050043, Hebei, China

    Xin Liao & Mingliang Zhang

  2. School of Mechanical Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, China

    Lin Chen

  3. School of Mechanical Engineering, Southeast University, Nanjing, 211189, Jiangsu, China

    Lin Chen

  4. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Shihua Zhou

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  1. Xin Liao
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Correspondence to Lin Chen.

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Liao, X., Chen, L., Zhou, S. et al. A novel vari-potential bistable nonlinear energy sink for improved vibration suppression: numerical and experimental study. Nonlinear Dyn 111, 19763–19790 (2023). https://doi.org/10.1007/s11071-023-08910-z

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