Predicting the closed-loop stability and oscillation amplitude of nonlinear parametrically amplified oscillators
Abstract
This work investigates the closed-loop operation of microelectromechanical oscillators in the presence of both cubic (Duffing) nonlinearities and parametric amplification. We present a theoretical model for this system that enables us to predict oscillation amplitude and instability and experimentally verify it using a silicon disk resonator with a quality factor (Q) of 85 000 and a natural frequency of 251 kHz. We determine that, contrary to previous understanding gained from analyzing the open-loop system, the presence of cubic nonlinearities does not limit the maximum stable oscillation amplitude if the resonator is operated in a closed loop. In addition, the stability and amplitude behavior predicted by our theoretical model are independent of the presence or severity of cubic nonlinearities, or on drive amplitude.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 08, 2015
- Source ID
- 10.1063/1.4922533
Entities
People
- A. Corigliano
- C. H. Ahn
- David A. Horsley
- E. Ng
- Min Li
- S. Nitzan
- T. Kenny
- V. Hong
- V. Zega
- Yaping Yang
Organizations
- Defense Advanced Research Projects Agency
- Polytechnic University of Milan
- Stanford University
- University of California