# Self-Sustained Micromechanical Oscillator with Linear Feedback.

@article{Chen2016SelfSustainedMO, title={Self-Sustained Micromechanical Oscillator with Linear Feedback.}, author={Changyao Chen and Dami{\'a}n H. Zanette and Jeffrey R. Guest and David A. Czaplewski and Daniel L{\'o}pez}, journal={Physical review letters}, year={2016}, volume={117 1}, pages={ 017203 } }

Autonomous oscillators, such as clocks and lasers, produce periodic signals without any external frequency reference. In order to sustain stable periodic motion, there needs to be an external energy supply as well as nonlinearity built into the oscillator to regulate the amplitude. Usually, nonlinearity is provided by the sustaining feedback mechanism, which also supplies energy, whereas the constituent resonator that determines the output frequency stays linear. Here, we propose a new self…

## 33 Citations

### Direct observation of coherent energy transfer in nonlinear micromechanical oscillators

- Engineering, PhysicsNature Communications
- 2017

This work exploits the nonlinear dynamic response of microelectromechanical oscillators to couple two different vibrational modes through an internal resonance and demonstrates a novel dissipation engineering strategy that can support stable oscillations without supplying external energy to compensate losses.

### Stability of two-mode internal resonance in a nonlinear oscillator

- Physics, Engineering
- 2018

Abstract
We analyze the stability of synchronized periodic motion for two coupled oscillators, representing two interacting oscillation modes in a nonlinear vibrating beam. The main oscillation mode…

### Selective High‐Frequency Mechanical Actuation Driven by the VO2 Electronic Instability

- Physics, EngineeringAdvanced materials
- 2017

Relaxation oscillators consist of periodic variations of a physical quantity triggered by a static excitation. They are a typical consequence of nonlinear dynamics and can be observed in a variety of…

### Anomalous amplitude-frequency dependence in a micromechanical resonator under synchronization

- Physics, EngineeringNonlinear Dynamics
- 2021

It is well known that the oscillation frequency relates approximately quadratically with amplitude in a Duffing nonlinear oscillator while the frequency is independent of amplitude in a linear…

### Tracking the resonant frequency of a micromechanical resonator using phononic frequency combs

- Physics, Engineering
- 2017

Micro and nanomechanical resonators have been extensively researched in recent decades for applications to time and frequency references, as well as highly sensitive sensors. Conventionally, the…

### Negative Nonlinear Dissipation in Microelectromechanical Beams

- EngineeringJournal of Microelectromechanical Systems
- 2020

In this work we present measurements of drive-induced negative nonlinear dissipation present in doubly clamped microbeams fabricated in a hermetically sealed package. We characterize the…

### Energy exchange between coupled mechanical oscillators: linear regimes

- Physics
- 2018

Nonlinear mechanisms are frequently invoked to explain unexpected observations during processes of energy exchange in mechanical systems. However, whether the same phenomena could be observed in a…

### Energy exchange between coupled mechanical oscillators: linear regimes

- PhysicsJournal of Physics Communications
- 2018

Nonlinear mechanisms are frequently invoked to explain unexpected observations during processes of energy exchange in mechanical systems. However, whether the same phenomena could be observed in a…

### Energy exchange in globally coupled mechanical phase oscillators.

- PhysicsPhysical review. E
- 2020

Analytical expressions for the rates of energy exchange in an ensemble of phase oscillators suggest that, even in this kind of stylized model, power transfer between different parts of the ensemble and to the environment can be manipulated by a convenient choice of the individual oscillator parameters.

### Resonant MEMS Accelerometer With CW Laser Excitation

- Physics, EngineeringJournal of Microelectromechanical Systems
- 2020

A silicon MEMS resonator which forms an optical cavity with its package is self-excited and interrogated with a CW laser beam at telecom wavelengths delivered to the device through optical fiber.…

## References

SHOWING 1-10 OF 27 REFERENCES

### Frequency stabilization in nonlinear micromechanical oscillators

- Engineering, PhysicsNature Communications
- 2012

It is demonstrated that, by coupling two different vibrational modes through an internal resonance, it is possible to stabilize the oscillation frequency of nonlinear self-sustaining micromechanical resonators.

### A nanoscale parametric feedback oscillator.

- PhysicsNano letters
- 2011

It is shown that the PFO topology can also improve nanoscale oscillator performance by circumventing detrimental effects that are otherwise imposed by the strong device nonlinearity in this size regime.

### Nonlinear damping in a micromechanical oscillator

- Engineering
- 2009

Nonlinear elastic effects play an important role in the dynamics of microelectromechanical systems (MEMS). A Duffing oscillator is widely used as an archetypical model of mechanical resonators with…

### Noise-enabled precision measurements of a duffing nanomechanical resonator.

- PhysicsPhysical review letters
- 2005

The noise-free transitions between the two basins of attraction that appear in the nonlinear regime are measured, and good agreement with theory is found.

### Characterization of MEMS Resonator Nonlinearities Using the Ringdown Response

- EngineeringJournal of Microelectromechanical Systems
- 2016

We present a technique for estimation of the model parameters for a single-mode vibration of symmetric micromechanical resonators, including the coefficients of conservative and dissipative…

### Observation of nonlinear dissipation in piezoresistive diamond nanomechanical resonators by heterodyne down-mixing.

- PhysicsNano letters
- 2013

The observation of nonlinear dissipation in diamond nanomechanical resonators measured by an ultrasensitive heterodyne down-mixing piezoresistive detection technique and a non linear dissipation backbone curve is proposed as a method to characterize the strength of non linear Dissipation in devices with a nonlinear spring constant.

### Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

- Physics
- 2012

1. Circuit quantum electrodynamics with a nonlinear resonator 2. Quantum-classical correspondence for a dc-biased cavity resonator-Cooper-pair transistor system 3. Activated switching in nonlinear…

### Tuning nonlinearity, dynamic range, and frequency of nanomechanical resonators

- Physics, Engineering
- 2006

We explore an electrostatic mechanism for tuning the nonlinearity of nanomechanical resonators and increasing their dynamic range for sensor applications. We also demonstrate tuning the resonant…

### Nonlinear damping in mechanical resonators made from carbon nanotubes and graphene.

- PhysicsNature nanotechnology
- 2011

The damping of mechanical resonators based on carbon nanotubes and graphene sheets is found to strongly depend on the amplitude of motion, and can be described by a nonlinear rather than a linear damping force.

### Nonlinear Dynamics of Nanomechanical and Micromechanical Resonators

- Engineering
- 2009

Inthe last decadewe havewitnessed excitingtechnologicaladvancesin the fabricationand control of microelectromechanical and nanoelectromechanical systems (MEMS& NEMS) [1–5]. Such systems are being…