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<p>Nonlinear energy sinks are often sensitive to excitation intensity and may deteriorate when response amplification occurs at non-resonance. To improve excitation adaptability and energy dissipation efficiency, a dual-ball impact track nonlinear energy sink coupled with cubic stiffness (TNES) is proposed in this study. A dynamic model of a single-degree-of-freedom primary structure coupled with the TNES is established under harmonic force and displacement excitations. The nonlinear response characteristics, parameter effects, energy dissipation mechanism, and vibration suppression performance are investigated. The overall nonlinear dynamics are consistent across the two excitation types. Under displacement excitation, the response of the primary structure transitions from periodic to quasi-periodic motion or chaotic motion at approximately <i>A</i> = 0.21&#xa0;mm. With increasing excitation amplitude, ball-ball and ball-baffle impacts are progressively activated, and impact dissipation accounts for more than 40% of the total dissipated energy. The proposed TNES exhibits a higher mitigation vibration cutoff amplitude of 0.84&#xa0;mm, beyond which the response in the pre-resonance region is amplified, compared with the cutoff amplitudes of 0.64&#xa0;mm for the single-ball TNES and 0.58&#xa0;mm for the cubic NES. Experimental results show that, at <i>A</i> = 0.4&#xa0;mm, the TNES achieves a vibration attenuation rate of 75.9% which is 25% higher than that of the TMD tested in the experiment, and broadens the effective suppression bandwidth by approximately 7.7 times compared with the primary structure without an absorber. With dual-track and triple-track parallel configurations, the vibration attenuation rates further increase to 82.3% and 84.7%, respectively.</p> Graphical abstract <p></p>

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A dual-ball impact track nonlinear energy sink vibration absorber coupled with cubic stiffness

  • 期刊论文

  • 发表日期：

    2026年6月29日

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  • Yingli Li,
  • Yihan Liu,
  • Guiqing Zhang,
  • Yong Peng,
  • Song Yao

摘要

Nonlinear energy sinks are often sensitive to excitation intensity and may deteriorate when response amplification occurs at non-resonance. To improve excitation adaptability and energy dissipation efficiency, a dual-ball impact track nonlinear energy sink coupled with cubic stiffness (TNES) is proposed in this study. A dynamic model of a single-degree-of-freedom primary structure coupled with the TNES is established under harmonic force and displacement excitations. The nonlinear response characteristics, parameter effects, energy dissipation mechanism, and vibration suppression performance are investigated. The overall nonlinear dynamics are consistent across the two excitation types. Under displacement excitation, the response of the primary structure transitions from periodic to quasi-periodic motion or chaotic motion at approximately A = 0.21 mm. With increasing excitation amplitude, ball-ball and ball-baffle impacts are progressively activated, and impact dissipation accounts for more than 40% of the total dissipated energy. The proposed TNES exhibits a higher mitigation vibration cutoff amplitude of 0.84 mm, beyond which the response in the pre-resonance region is amplified, compared with the cutoff amplitudes of 0.64 mm for the single-ball TNES and 0.58 mm for the cubic NES. Experimental results show that, at A = 0.4 mm, the TNES achieves a vibration attenuation rate of 75.9% which is 25% higher than that of the TMD tested in the experiment, and broadens the effective suppression bandwidth by approximately 7.7 times compared with the primary structure without an absorber. With dual-track and triple-track parallel configurations, the vibration attenuation rates further increase to 82.3% and 84.7%, respectively.

Graphical abstract