TY - GEN
T1 - A simple excitation model of parametric resonators
T2 - 17th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, EuroSimE 2016
AU - Shmulevich, Shai
AU - Kassie, Adne
AU - Elata, David
N1 - Publisher Copyright: © 2016 IEEE.
PY - 2016/4/29
Y1 - 2016/4/29
N2 - We present a new intuitive and rational model of parametric resonance. In parametric resonators one of the system parameters, usually stiffness, is modulated in time. Due to this time modulation the system may develop a periodic response. It is well known that when this modulation is sufficiently strong and at an appropriate frequency, the periodic response may be unbounded - even though the system is not driven directly by an external force. Our model assumes that stiffness is toggled between two distinct values, and that this toggling occurs either when motion is maximal or when velocity is maximal. We show that this model of parametric resonance converges to the classic Meissner parametric resonator, at discrete values of the amplitude and frequency of stiffness modulation. At these critical points the system response is periodic and on the verge of becoming unbounded. The relevance of these critical points is that their discrete nature makes them appealing for sensing and clocking applications in MEMS.
AB - We present a new intuitive and rational model of parametric resonance. In parametric resonators one of the system parameters, usually stiffness, is modulated in time. Due to this time modulation the system may develop a periodic response. It is well known that when this modulation is sufficiently strong and at an appropriate frequency, the periodic response may be unbounded - even though the system is not driven directly by an external force. Our model assumes that stiffness is toggled between two distinct values, and that this toggling occurs either when motion is maximal or when velocity is maximal. We show that this model of parametric resonance converges to the classic Meissner parametric resonator, at discrete values of the amplitude and frequency of stiffness modulation. At these critical points the system response is periodic and on the verge of becoming unbounded. The relevance of these critical points is that their discrete nature makes them appealing for sensing and clocking applications in MEMS.
UR - http://www.scopus.com/inward/record.url?scp=84974588869&partnerID=8YFLogxK
U2 - 10.1109/EuroSimE.2016.7463350
DO - 10.1109/EuroSimE.2016.7463350
M3 - منشور من مؤتمر
T3 - 2016 17th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, EuroSimE 2016
BT - 2016 17th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, EuroSimE 2016
Y2 - 18 April 2016 through 20 April 2016
ER -