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Purpose <p>Conventional passive control measures for cable vibrations often lack adaptability to varying excitation frequencies and exhibit a narrow control bandwidth. This study aims to suppress cable vibrations using micro-fiber composite (MFC) piezoelectric plates, overcoming the limitations of passive control measures.</p> Methods <p>The control strategy employs the Positive Position Feedback (PPF) method integrated with a resonance mechanism to achieve effective vibration suppression. The in-plane coupled equations of the MFC-cable system are derived via the extended Hamilton principle and solved analytically using the method of multiple scales (MMS) to obtain modulation equations. A comprehensive parametric analysis is conducted.</p> Results <p>The feedback signal gain λ and control signal gain γ of the PPF controller exhibit a contrasting effect: while both can broaden the control bandwidth and enhance system stability, a larger λ increases the controller’s circuit voltage and energy consumption, whereas a larger γ reduces it. More importantly, for optimal vibration suppression, the PPF controller’s natural frequency should be tuned to align with the excitation frequency rather than the cable’s inherent resonant frequency.</p> Conclusions <p>The proposed MFC-based active control strategy with PPF controller is demonstrated to be effective. The findings provide critical design guidance, specifically on balancing control performance with energy consumption through gain selection and on the optimal tuning of the controller frequency.</p>

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Nonlinear Dynamic Characteristics and Active Vibration Suppression of MFC-actuated Flexible Cable

  • 期刊论文

  • 发表日期：

    2026年1月13日

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  • Yunyue Cong,
  • Ruilin Liu,
  • Dengyu Qian,
  • Houjun Kang,
  • Xiaoyang Su

摘要

Purpose

Conventional passive control measures for cable vibrations often lack adaptability to varying excitation frequencies and exhibit a narrow control bandwidth. This study aims to suppress cable vibrations using micro-fiber composite (MFC) piezoelectric plates, overcoming the limitations of passive control measures.

Methods

The control strategy employs the Positive Position Feedback (PPF) method integrated with a resonance mechanism to achieve effective vibration suppression. The in-plane coupled equations of the MFC-cable system are derived via the extended Hamilton principle and solved analytically using the method of multiple scales (MMS) to obtain modulation equations. A comprehensive parametric analysis is conducted.

Results

The feedback signal gain λ and control signal gain γ of the PPF controller exhibit a contrasting effect: while both can broaden the control bandwidth and enhance system stability, a larger λ increases the controller’s circuit voltage and energy consumption, whereas a larger γ reduces it. More importantly, for optimal vibration suppression, the PPF controller’s natural frequency should be tuned to align with the excitation frequency rather than the cable’s inherent resonant frequency.

Conclusions

The proposed MFC-based active control strategy with PPF controller is demonstrated to be effective. The findings provide critical design guidance, specifically on balancing control performance with energy consumption through gain selection and on the optimal tuning of the controller frequency.