Self-induced parametric amplification arising from nonlinear elastic coupling in a micromechanical resonating disk gyroscope

Scientific Reports
Sarah H NitzanDavid A Horsley

Abstract

Parametric amplification, resulting from intentionally varying a parameter in a resonator at twice its resonant frequency, has been successfully employed to increase the sensitivity of many micro- and nano-scale sensors. Here, we introduce the concept of self-induced parametric amplification, which arises naturally from nonlinear elastic coupling between the degenerate vibration modes in a micromechanical disk-resonator, and is not externally applied. The device functions as a gyroscope wherein angular rotation is detected from Coriolis coupling of elastic vibration energy from a driven vibration mode into a second degenerate sensing mode. While nonlinear elasticity in silicon resonators is extremely weak, in this high quality-factor device, ppm-level nonlinear elastic effects result in an order-of-magnitude increase in the observed sensitivity to Coriolis force relative to linear theory. Perfect degeneracy of the primary and secondary vibration modes is achieved through electrostatic frequency tuning, which also enables the phase and frequency of the parametric coupling to be varied, and we show that the resulting phase and frequency dependence of the amplification follow the theory of parametric resonance. We expect that this...Continue Reading

References

Aug 5, 1991·Physical Review Letters·D Rugar, P Grütter
May 9, 1994·Physical Review Letters·D S GreywallR L Willett
Dec 13, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eyal Buks, Bernard Yurke
Sep 28, 2010·Physical Review Letters·H J R WestraW J Venstra
Oct 20, 2011·Nano Letters·L Guillermo VillanuevaMichael L Roukes
Dec 16, 2011·Nature·F MasselM A Sillanpää
Mar 19, 2013·Nano Letters·M H MathenyM L Roukes
May 18, 2013·Physical Review Letters·L G VillanuevaM L Roukes

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Citations

Dec 24, 2017·Scientific Reports·O ShoshaniM I Dykman
May 6, 2020·Micromachines·Kuo LuDingbang Xiao
Jan 5, 2019·Physical Review Letters·David A CzaplewskiSteven W Shaw
Dec 22, 2019·Micromachines·Jianxiong ZhuChengkuo Lee
Jun 19, 2019·Scientific Reports·Atabak SarrafanBehraad Bahreyni

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Methods Mentioned

BETA
atomic force microscopy

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