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<p>Nonlinear energy sinks (NES) have attracted significant research interest due to their exceptional energy dissipation capabilities. However, conventional single-type stiffness NES designs often fail to provide effective vibration suppression across varying vibration intensities and frequency bandwidths. To achieve the efficiency of broadband energy dissipation, this study proposes a coupled system integrating a piecewise linear and cubic stiffness NES with a piezoelectric energy harvesting system, termed the “piezoelectric, piecewise-linear and NES”(PPNES), into a single-degree-of-freedom primary structure. Based on Newton’s second law, the electromechanical coupling dynamic governing equation of the primary structure coupled PPNES system was established and explored analytically and numerically. By employing the complex variable averaging method and the multi-scale method, the energy dissipation and transfer of the coupled model were investigated. Additionally, the effects of the PPNES on vibration suppression and energy harvesting performance in a single-degree-of-freedom primary structure were analyzed using wavelet transform and time-history response analysis. The results reveal that parametric variations of the PPNES system can trigger targeted energy transfer (TET) mechanisms in the coupled oscillator system. Compared with traditional smooth NES, the proposed non-smooth PPNES exhibits better vibration suppression performance in the medium to high energy level range.</p>

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Vibration reduction and energy harvesting performance of a coupled piecewise NES-piezoelectric system under transient excitation

  • 期刊论文

  • 发表日期：

    2026年2月25日

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  • Lingzhi Wang,
  • Shengjie Chang,
  • Xianhong Gui ,
  • Xinpeng Liu,
  • Zhitao Yan ,
  • Xiaochun Nie

摘要

Nonlinear energy sinks (NES) have attracted significant research interest due to their exceptional energy dissipation capabilities. However, conventional single-type stiffness NES designs often fail to provide effective vibration suppression across varying vibration intensities and frequency bandwidths. To achieve the efficiency of broadband energy dissipation, this study proposes a coupled system integrating a piecewise linear and cubic stiffness NES with a piezoelectric energy harvesting system, termed the “piezoelectric, piecewise-linear and NES”(PPNES), into a single-degree-of-freedom primary structure. Based on Newton’s second law, the electromechanical coupling dynamic governing equation of the primary structure coupled PPNES system was established and explored analytically and numerically. By employing the complex variable averaging method and the multi-scale method, the energy dissipation and transfer of the coupled model were investigated. Additionally, the effects of the PPNES on vibration suppression and energy harvesting performance in a single-degree-of-freedom primary structure were analyzed using wavelet transform and time-history response analysis. The results reveal that parametric variations of the PPNES system can trigger targeted energy transfer (TET) mechanisms in the coupled oscillator system. Compared with traditional smooth NES, the proposed non-smooth PPNES exhibits better vibration suppression performance in the medium to high energy level range.