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<p>Nonlinear Energy Sinks (NES) offer effective passive vibration control, but often require a high energy threshold to activate the Strongly Modulated Response (SMR). Furthermore, gravitational effects limit their application in vertical structures. To overcome these limitations, a tunable flexure-hinge NES (FH-NES) is proposed. The design incorporates a vertical spring to compensate for gravitational effects and utilizes a horizontal preload for stiffness adjustment. The analytical amplitude-frequency response of the system is first derived. Then, the slow invariant manifold (SIM) is constructed using the method of multiple scales to reveal the intrinsic dynamic mechanisms, with particular focus on how the preload influences the SIM structure and SMR activation threshold. Finally, static and dynamic experiments are conducted to validate the theoretical model. Experimental results demonstrate that adjusting the preload effectively regulates the excitation threshold of the SMR, enabling the system to maintain satisfactory vibration suppression performance across varying excitation levels. Specifically, after incorporating the NES, the peak response is reduced to 2.59&#xa0;m/s<sup>2</sup>, representing a 43.6% reduction. Further implementation of the bistable nonlinear energy sink (BNES) suppresses the response to 2.39&#xa0;m/s<sup>2</sup>, achieving a 48.1% reduction. This study provides a reliable and tunable solution for vibration control.</p>

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Dynamics of a tunable flexure-hinge NES: from monostable to bistable regimes and experimental validation

  • 期刊论文

  • 发表日期：

    2026年4月2日

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  • Jiawen Chu,
  • Qingchao Yang,
  • Jingjun Lou,
  • Kai Chai

摘要

Nonlinear Energy Sinks (NES) offer effective passive vibration control, but often require a high energy threshold to activate the Strongly Modulated Response (SMR). Furthermore, gravitational effects limit their application in vertical structures. To overcome these limitations, a tunable flexure-hinge NES (FH-NES) is proposed. The design incorporates a vertical spring to compensate for gravitational effects and utilizes a horizontal preload for stiffness adjustment. The analytical amplitude-frequency response of the system is first derived. Then, the slow invariant manifold (SIM) is constructed using the method of multiple scales to reveal the intrinsic dynamic mechanisms, with particular focus on how the preload influences the SIM structure and SMR activation threshold. Finally, static and dynamic experiments are conducted to validate the theoretical model. Experimental results demonstrate that adjusting the preload effectively regulates the excitation threshold of the SMR, enabling the system to maintain satisfactory vibration suppression performance across varying excitation levels. Specifically, after incorporating the NES, the peak response is reduced to 2.59 m/s2, representing a 43.6% reduction. Further implementation of the bistable nonlinear energy sink (BNES) suppresses the response to 2.39 m/s2, achieving a 48.1% reduction. This study provides a reliable and tunable solution for vibration control.