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Parallel-Plate Electrostatic Dual Mass Oscillator

TLDR
In this article, a surface-micromachined two-degree-of-freedom system that was driven by parallel-plate actuation at antiresonance was demonstrated, which consisted of an absorbing mass connected by folded springs to a drive mass.
Abstract
A surface-micromachined two-degree-of-freedom system that was driven by parallel-plate actuation at antiresonance was demonstrated. The system consisted of an absorbing mass connected by folded springs to a drive mass. The system demonstrated substantial motion amplification at antiresonance. The absorber mass amplitudes were 0.8-0.85 pm at atmospheric pressure while the drive mass amplitudes were below 0.1 pm. Larger absorber mass amplitudes were not possible because of spring softening in the drive mass springs. Simple theory of the dual-mass oscillator has indicated that the absorber mass may be insensitive to limited variations in strain and damping. This needs experimental verification. Resonant and antiresonant frequencies were measured and compared to the designed values. Resonant frequency measurements were difficult to compare to the design calculations because of time-varying spring softening terms that were caused by the drive configuration. Antiresonant frequency measurements were close to the design value of 5.1 kHz. The antiresonant frequency was not dependent on spring softening. The measured absorber mass displacement at antiresonance was compared to computer simulated results. The measured value was significantly greater, possibly due to neglecting fringe fields in the force expression used in the simulation.

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Citations
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Patent

Microelectromechanical dual-mass resonator structure

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References
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Modelling of the mechanical behaviour of a differential capacitor acceleration sensor

TL;DR: In this paper, a mechanical model and its mathematical solution are presented in order to calculate the sensitivity and frequency behavior of an acceleration sensor, which is built up as an interdigitated differential capacitor and is driven in a high frequency detection circuitry with an overall electromechanical closed-loop configuration.
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Thermal base drive for micromechanical resonators employing deep-diffusion bases

TL;DR: In this paper, a novel approach of thermal excitation is presented, where thin micromechanical structures are suspended by deep-diffusion bases, and resonance frequencies are solely determined by the thin parts of the structures, and are independent of material properties and dimensions of the base.
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