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The Physics of Resonant MEMS Gyroscopes

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Toward Inertial-Navigation-on-Chip

Part of the book series: Springer Theses ((Springer Theses))

Abstract

High-performance MEMS gyroscopes can be used for inertial navigation in GPS-denied environments, as well as for scientific applications such as low-cost geophysical measurements and relativity experiments. This chapter presents the theories of resonant MEMS gyroscope and focuses on understanding the physical phenomena in resonant MEMS gyroscopes to provide insight to the performance scaling limits. Key performance parameters are described, and a general discussion on electrostatic compensation of the imperfections in MEMS gyroscopes is given in this chapter.

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References

  1. G.G. Coriolis, Mémoire sur les équations du mouvement relatif des systèmes de corps (Bachelier, 1835)

    Google Scholar 

  2. M.L. Foucault, Physical demonstration of the earth's motion of rotation, by means of the pendulum. London, Edinburgh, Dublin Philos. Mag. J. Sci 1(7), 575–578 (1851)

    Article  Google Scholar 

  3. M.F. Zaman et al., A mode-matched Silicon-Yaw Tuning-Fork gyroscope with subdegree-per-hour Allan deviation bias instability. J. Microelectromech. Syst. 17(6), 1526–1536 (2008)

    Article  Google Scholar 

  4. D. Lynch, Vibratory gyro analysis by the method of averaging, in Proc. 2nd St. Petersburg Conf. on Gyroscopic Technology and Navigation, (St. Petersburg, 1995), pp. 26–34

    Google Scholar 

  5. S. Vidoli, F. Vestroni, Veering phenomena in systems with gyroscopic coupling. J. Appl. Mech. 72(5), 641–647 (2004)

    Article  Google Scholar 

  6. B.J. Gallacher et al., Electrostatic correction of structural imperfections present in a microring gyroscope. J. Microelectron. Syst. 14(2), 221–234 (2005)

    Article  Google Scholar 

  7. C.L. Mayberry, Interface Circuits for Readout and Control of a Micro-Hemispherical Resonating Gyroscope (Georgia Institute of Technology, 2014)

    Google Scholar 

  8. N. El-Sheimy, H. Hou, X. Niu, Analysis and modeling of inertial sensors using Allan variance. IEEE Trans. Instrum. Meas. 57(1), 140–149 (2008)

    Article  Google Scholar 

  9. F.L. Walls et al., A new model of 1/f noise in BAW quartz resonators, in Proceedings of the 1992 IEEE Frequency Control Symposium, (1992), pp. 327–333

    Chapter  Google Scholar 

  10. F. Sthal et al., Study on the origin of 1/ f noise in quartz resonators. J. Stat. Mech. Theory Exp 2016(5), 054025 (2016)

    Article  Google Scholar 

  11. M. Sansa et al., Frequency fluctuations in silicon nanoresonators. Nat. Nanotechnol. 11, 552 (2016)

    Article  ADS  Google Scholar 

Download references

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Wen, H. (2019). The Physics of Resonant MEMS Gyroscopes. In: Toward Inertial-Navigation-on-Chip. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-25470-4_2

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