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A nonlinear saturating amplifier circuit for piezoelectric vibration control of flexible mechanical system

Kevin Dekemele (UGent) , Christophe Giraud-Audine and Olivier Thomas (UGent)
(2025) Proceedings of the 11th ECCOMAS Thematic Conference on Smart Structures and Materials (SMART 2025).
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Abstract
This work investigates the vibration control properties of a saturating shunt circuit for piezoelectric vibration control. The circuit is realized as a saturating operational amplifier that takes the induced piezoelectric voltage as input. Furthermore, an inductor and resistor are placed in series. Using complexification-averaging, an analytical form of the frequency response is derived by approximating the saturation by an arctangent. It is found that the vibration damping properties are similar to that of the piezo-electric nonlinear energy sink (NES) shunt circuit that consists of a cubic multiplication of the piezoelectric voltage. These properties are 1) Saturation of the host structure amplitude 2) an efficient quasi-periodic vibration regime, and 3) the appearance of an isolated response curve (IRC). The difference is that for the saturating circuit, the isolated response appears to the right of the host structures’ resonance, while for the NES circuit, it results in an IRC to the left of this resonance. The analytical frequency response is compared to Runge-Kutta simulation for arctangent and non-smooth saturation, showing good agreement.

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MLA
Dekemele, Kevin, et al. “A Nonlinear Saturating Amplifier Circuit for Piezoelectric Vibration Control of Flexible Mechanical System.” Proceedings of the 11th ECCOMAS Thematic Conference on Smart Structures and Materials (SMART 2025), edited by M Krommer et al., 2025.
APA
Dekemele, K., Giraud-Audine, C., & Thomas, O. (2025). A nonlinear saturating amplifier circuit for piezoelectric vibration control of flexible mechanical system. In M. Krommer, M. Nader, M. Schagerl, & A. Benjeddou (Eds.), Proceedings of the 11th ECCOMAS Thematic Conference on Smart Structures and Materials (SMART 2025).
Chicago author-date
Dekemele, Kevin, Christophe Giraud-Audine, and Olivier Thomas. 2025. “A Nonlinear Saturating Amplifier Circuit for Piezoelectric Vibration Control of Flexible Mechanical System.” In Proceedings of the 11th ECCOMAS Thematic Conference on Smart Structures and Materials (SMART 2025), edited by M Krommer, M Nader, M Schagerl, and A Benjeddou.
Chicago author-date (all authors)
Dekemele, Kevin, Christophe Giraud-Audine, and Olivier Thomas. 2025. “A Nonlinear Saturating Amplifier Circuit for Piezoelectric Vibration Control of Flexible Mechanical System.” In Proceedings of the 11th ECCOMAS Thematic Conference on Smart Structures and Materials (SMART 2025), ed by. M Krommer, M Nader, M Schagerl, and A Benjeddou.
Vancouver
1.
Dekemele K, Giraud-Audine C, Thomas O. A nonlinear saturating amplifier circuit for piezoelectric vibration control of flexible mechanical system. In: Krommer M, Nader M, Schagerl M, Benjeddou A, editors. Proceedings of the 11th ECCOMAS Thematic Conference on Smart Structures and Materials (SMART 2025). 2025.
IEEE
[1]
K. Dekemele, C. Giraud-Audine, and O. Thomas, “A nonlinear saturating amplifier circuit for piezoelectric vibration control of flexible mechanical system,” in Proceedings of the 11th ECCOMAS Thematic Conference on Smart Structures and Materials (SMART 2025), Linz, Austria, 2025.
@inproceedings{01K3G1VX4365865116FCXVGCVD,
  abstract     = {{This work investigates the vibration control properties of a saturating shunt circuit
for piezoelectric vibration control. The circuit is realized as a saturating operational amplifier that takes the induced piezoelectric voltage as input. Furthermore, an inductor and resistor
are placed in series. Using complexification-averaging, an analytical form of the frequency response is derived by approximating the saturation by an arctangent. It is found that the vibration
damping properties are similar to that of the piezo-electric nonlinear energy sink (NES) shunt
circuit that consists of a cubic multiplication of the piezoelectric voltage. These properties are
1) Saturation of the host structure amplitude 2) an efficient quasi-periodic vibration regime, and
3) the appearance of an isolated response curve (IRC). The difference is that for the saturating
circuit, the isolated response appears to the right of the host structures’ resonance, while for
the NES circuit, it results in an IRC to the left of this resonance. The analytical frequency
response is compared to Runge-Kutta simulation for arctangent and non-smooth saturation,
showing good agreement.}},
  author       = {{Dekemele, Kevin and Giraud-Audine, Christophe and Thomas, Olivier}},
  booktitle    = {{Proceedings of the 11th ECCOMAS Thematic Conference on Smart Structures and Materials (SMART 2025)}},
  editor       = {{Krommer, M and Nader, M and Schagerl, M and Benjeddou, A}},
  language     = {{eng}},
  location     = {{Linz, Austria}},
  pages        = {{12}},
  title        = {{A nonlinear saturating amplifier circuit for piezoelectric vibration control of flexible mechanical system}},
  url          = {{https://www.jku.at/en/smart2025/}},
  year         = {{2025}},
}