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<p>To address the challenge of low-energy dissipation efficiency of traditional tristable nonlinear energy sink (TNES) subjected to impact excitation, this work proposes a novel device that combines TNES with cubic nonlinear damping (TCNES). The governing equations of the TCNES coupled with a linear oscillator are established, and the approximate solutions for the amplitude envelope of vibration displacement and phase are derived using the complex variable averaging method. Additionally, the particle swarm optimization (PSO) algorithm is utilized to optimize the linear and nonlinear damping coefficients of the TCNES. The energy dissipation efficiency, vibration suppression performance, and underlying mechanisms of the TCNES are systematically investigated through both numerical and approximate solutions. The results demonstrate that nonlinear damping is beneficial for improving the energy dissipation performance of TCNES in the high excitation range. Within the range of low excitation, the significant inter-well motions of TCNES can quickly dissipate the energy of linear oscillators, effectively achieving vibration control of the structure. The vibration suppression performance of PSO-TCNES has been significantly improved after parameter optimization using the PSO algorithm.</p>

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Parameter optimization and vibration control of tristable nonlinear energy sink incorporating with linear and nonlinear damping under impact excitation

  • 期刊论文

  • 发表日期：

    2025年11月11日

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  • Xiyuan Li,
  • Yangdong Qin,
  • Xiqi Lin,
  • Ziheng Wang,
  • Lingzhi Wang,
  • Zhitao Yan,
  • Xiaochun Nie

摘要

To address the challenge of low-energy dissipation efficiency of traditional tristable nonlinear energy sink (TNES) subjected to impact excitation, this work proposes a novel device that combines TNES with cubic nonlinear damping (TCNES). The governing equations of the TCNES coupled with a linear oscillator are established, and the approximate solutions for the amplitude envelope of vibration displacement and phase are derived using the complex variable averaging method. Additionally, the particle swarm optimization (PSO) algorithm is utilized to optimize the linear and nonlinear damping coefficients of the TCNES. The energy dissipation efficiency, vibration suppression performance, and underlying mechanisms of the TCNES are systematically investigated through both numerical and approximate solutions. The results demonstrate that nonlinear damping is beneficial for improving the energy dissipation performance of TCNES in the high excitation range. Within the range of low excitation, the significant inter-well motions of TCNES can quickly dissipate the energy of linear oscillators, effectively achieving vibration control of the structure. The vibration suppression performance of PSO-TCNES has been significantly improved after parameter optimization using the PSO algorithm.