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<p>Targeted energy transfer (TET) from a Van der Pol oscillator coupled to a nonlinear energy sink (NES) is investigated under the action of a high-frequency external drive, which tunes the effective natural stiffness and promotes resonance capture, facilitating energy transfer. Using <i>direct partition of motion</i> with <i>complexification averaging</i>, the mechanism of energy flow and instability control through <i>Hopf</i>&#xa0;&#xa0;<i>bifurcation</i> is characterized. A spectrally evaluated Q-factor, based on FFT at the effective slow frequency, captures the resonance peaks indicating the efficient energy transfer. Finally, the energy-dissipation metric is consistent with these Q-maps and identifies the regions where transient energy pumping is most effective.</p>

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High-frequency tuning of internal resonance and targeted energy transfer in a Van der Pol oscillator coupled to a nonlinear energy sink

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • Somnath Roy,
  • Mattia Coccolo,
  • Sayan Gupta,
  • Miguel A.F. Sanjuán

摘要

Targeted energy transfer (TET) from a Van der Pol oscillator coupled to a nonlinear energy sink (NES) is investigated under the action of a high-frequency external drive, which tunes the effective natural stiffness and promotes resonance capture, facilitating energy transfer. Using direct partition of motion with complexification averaging, the mechanism of energy flow and instability control through Hopf  bifurcation is characterized. A spectrally evaluated Q-factor, based on FFT at the effective slow frequency, captures the resonance peaks indicating the efficient energy transfer. Finally, the energy-dissipation metric is consistent with these Q-maps and identifies the regions where transient energy pumping is most effective.