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Background <p>Voigt-type dynamic vibration absorbers (DVAs) can be enhanced by adding an inerter. However, traditional inerters may induce energy backflow and direction-reversal impact, while the clutched inerter (CI) enforces one-way energy transfer and exhibits damping-like dissipation. Despite this potential, research and applications of CI within DVAs remain limited.</p> Objective <p>To analyze and optimize Voigt-type DVAs that incorporate either an inerter or a clutched inerter under three connection configurations—between (1) primary and absorber masses, (2) absorber mass and ground, and (3) primary mass and ground—subject to force and base excitations, and to identify when CI outperforms a traditional inerter.</p> Methods <p>For inerter-based models, fixed-point theory (FPT) is used to derive optimal tuning; for CI models, piecewise nonlinear dynamics are&#xa0;approximated via the averaging method and optimized with a genetic algorithm (GA). Comparative evaluations focus on peaks,&#xa0;bandwidth, resonance shifts, and the presence/absence of anti-resonance.</p> Results <p>Configuration 1 (between primary and absorber): Both IDVA-1 and CIDVA-1 deteriorate performance as the inertance-to-absorber mass&#xa0;ratio increases; deterioration is milder with CI. Configuration 2 (absorber–ground): Both IDVA-2 and CIDVA-2 improve attenuation by effectively raising the absorber mass; IDVA-2 yields stronger improvement owing to larger effective inertia. Responses under base excitation are nearly identical to force excitation. Configuration 3 (primary–ground): Under force excitation, adding an inerter (IDVA-3) or a clutched inerter (CIDVA-3) effectively increases the primary mass and lowers the mass ratio, thereby degrading attenuation. Under base excitation, the inerter/CI introduces a frequency-dependent eccentric input and shifts the resonance to a lower frequency, yielding marked improvement in attenuation, with CI performing better overall.</p> Conclusions <p>(1) In the primary–absorber configuration, IDVA-1/CIDVA-1 are unfavorable; (2) In the absorber–ground configuration, IDVA-2/CIDVA-2 are beneficial, with the inerter yielding the greater improvement than the CI; (3) (3) Under base excitation with the primary–ground configuration, CI outperforms the inerter.</p>

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Analysis and Optimization of Voigt-Type DVA Incorporating an Inerter or a Clutching Inerter under Different Excitations

  • 期刊论文

  • 发表日期：

    2025年10月29日

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  • Tian Wu,
  • Xiaoyan Liu,
  • Yongjun Shen

摘要

Background

Voigt-type dynamic vibration absorbers (DVAs) can be enhanced by adding an inerter. However, traditional inerters may induce energy backflow and direction-reversal impact, while the clutched inerter (CI) enforces one-way energy transfer and exhibits damping-like dissipation. Despite this potential, research and applications of CI within DVAs remain limited.

Objective

To analyze and optimize Voigt-type DVAs that incorporate either an inerter or a clutched inerter under three connection configurations—between (1) primary and absorber masses, (2) absorber mass and ground, and (3) primary mass and ground—subject to force and base excitations, and to identify when CI outperforms a traditional inerter.

Methods

For inerter-based models, fixed-point theory (FPT) is used to derive optimal tuning; for CI models, piecewise nonlinear dynamics are approximated via the averaging method and optimized with a genetic algorithm (GA). Comparative evaluations focus on peaks, bandwidth, resonance shifts, and the presence/absence of anti-resonance.

Results

Configuration 1 (between primary and absorber): Both IDVA-1 and CIDVA-1 deteriorate performance as the inertance-to-absorber mass ratio increases; deterioration is milder with CI. Configuration 2 (absorber–ground): Both IDVA-2 and CIDVA-2 improve attenuation by effectively raising the absorber mass; IDVA-2 yields stronger improvement owing to larger effective inertia. Responses under base excitation are nearly identical to force excitation. Configuration 3 (primary–ground): Under force excitation, adding an inerter (IDVA-3) or a clutched inerter (CIDVA-3) effectively increases the primary mass and lowers the mass ratio, thereby degrading attenuation. Under base excitation, the inerter/CI introduces a frequency-dependent eccentric input and shifts the resonance to a lower frequency, yielding marked improvement in attenuation, with CI performing better overall.

Conclusions

(1) In the primary–absorber configuration, IDVA-1/CIDVA-1 are unfavorable; (2) In the absorber–ground configuration, IDVA-2/CIDVA-2 are beneficial, with the inerter yielding the greater improvement than the CI; (3) (3) Under base excitation with the primary–ground configuration, CI outperforms the inerter.