<p>This study proposes a novel coupled particle damper–nonlinear energy sink (PD–NES) system for vibration control through establishing a comprehensive theoretical framework for dynamic modeling, parameter analysis, and vibration response evaluation. To this end, based on the theory of gas–solid multiphase flow, a three-degree-of-freedom nonlinear dynamic model of the coupled PD–NES system is first developed. This model fully accounts for the friction and collisions among individual particles, between particles and container walls, as well as the non-contact energy dissipation mechanisms between particles and air. Through parameter analysis, the effects of key factors—including particle material, particle size, filling ratio, and container geometry—on the equivalent damping coefficient are quantitatively examined. The attained results reveal that the particles with high density and low elasticity (such as lead- and iron-based alloys) and moderate filling ratio are able to substantially enhance energy dissipation. Comparative simulations in the presence of free and forced vibrations demonstrate that, under high-amplitude excitations, the PD–NES exhibits superior energy dissipation performance than conventional NES systems. Specifically, the proposed PD–NES is capable of effectively suppressing the primary resonance and accelerating the attenuation of high-order harmonics, thereby enhancing the overall vibration performance. Under high excitation amplitudes, the peak resonance displacement of the primary structure is reduced from 2.21 × 10<sup>−2</sup>&#xa0;m to 0.56 × 10<sup>−2</sup>&#xa0;m, and the energy density of the fundamental frequency is reduced by approximately 55.56%. Additionally, the results from the harmonic balance method and wavelet transform demonstrate that the PD–NES not only enhances the effect of nonlinear targeted energy transfer (TET) but also efficiently delays the onset of chaotic responses, thus preventing spectral divergence and frequency drift. These findings effectively support new insights into the control of broadband nonlinear vibrations and suggest promising applications in a diverse range of fields such as aerospace, rail transportation, and high-precision equipment.</p>

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An in-depth investigation into the modeling and nonlinear vibration behavior of a coupled particle damper–nonlinear energy sink system

  • Duojia Shi,
  • Pengzhan Liu,
  • Xinhao Zhang,
  • Caiyou Zhao,
  • Bing Feng Ng,
  • Ping Wang

摘要

This study proposes a novel coupled particle damper–nonlinear energy sink (PD–NES) system for vibration control through establishing a comprehensive theoretical framework for dynamic modeling, parameter analysis, and vibration response evaluation. To this end, based on the theory of gas–solid multiphase flow, a three-degree-of-freedom nonlinear dynamic model of the coupled PD–NES system is first developed. This model fully accounts for the friction and collisions among individual particles, between particles and container walls, as well as the non-contact energy dissipation mechanisms between particles and air. Through parameter analysis, the effects of key factors—including particle material, particle size, filling ratio, and container geometry—on the equivalent damping coefficient are quantitatively examined. The attained results reveal that the particles with high density and low elasticity (such as lead- and iron-based alloys) and moderate filling ratio are able to substantially enhance energy dissipation. Comparative simulations in the presence of free and forced vibrations demonstrate that, under high-amplitude excitations, the PD–NES exhibits superior energy dissipation performance than conventional NES systems. Specifically, the proposed PD–NES is capable of effectively suppressing the primary resonance and accelerating the attenuation of high-order harmonics, thereby enhancing the overall vibration performance. Under high excitation amplitudes, the peak resonance displacement of the primary structure is reduced from 2.21 × 10−2 m to 0.56 × 10−2 m, and the energy density of the fundamental frequency is reduced by approximately 55.56%. Additionally, the results from the harmonic balance method and wavelet transform demonstrate that the PD–NES not only enhances the effect of nonlinear targeted energy transfer (TET) but also efficiently delays the onset of chaotic responses, thus preventing spectral divergence and frequency drift. These findings effectively support new insights into the control of broadband nonlinear vibrations and suggest promising applications in a diverse range of fields such as aerospace, rail transportation, and high-precision equipment.