TY - JOUR
T1 - Transient Vibrations Suppression in Parametrically Excited Resonators
AU - Ramírez-Barrios, Miguel
AU - Dohnal, Fadi
AU - Collado, Joaquín
N1 - Publisher Copyright:
© 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - Micromechanical resonators
KW - Parametric excitation
KW - Vibrational control
UR - http://www.scopus.com/inward/record.url?scp=85085211459&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-45402-9_19
DO - 10.1007/978-3-030-45402-9_19
M3 - Artículo
AN - SCOPUS:85085211459
SN - 2211-0984
VL - 86
SP - 193
EP - 205
JO - Mechanisms and Machine Science
JF - Mechanisms and Machine Science
ER -