Abstract
Micromechanical resonators with a high-quality factor have been studied in recent years due to their excellent performance and potential applications. Some of these micromechanical resonators describe a long settling time, which can be disabled for fast switching applications. A novel design reduces the settling time by coupling two micromechanical resonators with parametric excitation; the parametric excitation tuned at the anti-resonant frequency increases the damping into the system; thus, the responses vibrations are attenuated, and the settling time is minimized. The scheme can be classified as open-loop control and belongs to the vibrational control field. Through a mathematical approach, this article describes this phenomenon in detail; by the averaging technique, the parametric excitation effects are analyzed. Moreover, we give new analytic conditions and formulas to minimize the settling time; these formulas might be helpful for future experimentation. Finally, using the current analysis, this contribution proposes a methodology to suppress the transient vibrations in this class of systems.
This project was partially funded by the Austrian IWB-project:LaZu-COLD_ IWB_ TIROL_POST_005 (Campus Technik Lienz).
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Notes
- 1.
This fact can be understood, when the micromechanical resonator is used as a sensor.
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Ramírez-Barrios, M., Dohnal, F., Collado, J. (2020). Transient Vibrations Suppression in Parametrically Excited Resonators. In: Hernandez, E., Keshtkar, S., Valdez, S. (eds) Industrial and Robotic Systems. LASIRS 2019. Mechanisms and Machine Science, vol 86. Springer, Cham. https://doi.org/10.1007/978-3-030-45402-9_19
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