Abstract
An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency lies within a certain interval-known as the synchronization range-around the oscillator's natural frequency. Under ordinary conditions, the width of the synchronization range decreases when the oscillation amplitude grows, which constrains synchronized motion of micro- and nanomechanical resonators to narrow frequency and amplitude bounds. Here, we show that nonlinearity in the oscillator can be exploited to manifest a regime where the synchronization range increases with increasing oscillation amplitude. Experimental data are provided for self-sustained micromechanical oscillators operating in this regime, and analytical results show that nonlinearities are the key determinants of this effect. Our results provide a new strategy to enhance the synchronization of micromechanical oscillators by capitalizing on their intrinsic nonlinear dynamics.
Highlights
Makes it necessary to envision the replacement of quartz crystals with simpler, fast responding, low power-consuming elements that would be readily integrable to electronic circuits during fabrication
It is observed that the synchronization range increases as the intensity of the harmonic perturbation is increased [7], i.e. the larger the interaction with the external perturbation, the further the frequency can be shifted
It is usually observed that the width of the synchronization range decreases with increasing oscillator amplitude, i.e. as the self-sustained drive force of the primary oscillator is increased, the ability to change the frequency of operation through synchronization to an external harmonic perturbation decreases
Summary
It is usually observed that the width of the synchronization range decreases with increasing oscillator amplitude, i.e. as the self-sustained drive force of the primary oscillator is increased, the ability to change the frequency of operation through synchronization to an external harmonic perturbation decreases. External perturbation – aimed to entrain the oscillator into synchronized motion – consists of a voltage signal of amplitude Vs and frequency Ωs, which is added to the self-sustaining signal.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
