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TECHNICAL PAPERS

The Optimal Size of a Resonant Vibrating Beam Gyroscope

[+] Author and Article Information
Amnon Katz, Alton Highsmith

Department of Aerospace Engineering and Mechanics, The University of Alabama, Tuscaloosa, AL 35487-0280

J. Dyn. Sys., Meas., Control 123(1), 49-53 (Aug 14, 2000) (5 pages) doi:10.1115/1.1341201 History: Received August 14, 2000
Copyright © 2001 by ASME
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References

Katz, A., 1997, Computational Rigid Vehicle Dynamics, Krieger, Malabar, FL, pp. 57–58, 65.
Hurty, W. C., and Rubinstein, M. F., 1964, Dynamics of Structures, Prentice Hall, Englewood Cliffs, NJ, pp. 198–203.
Meirovich, L., 1975, Elements of Vibration Analysis, McGraw-Hill, NY, pp. 39–45.
Nyquist,  H., 1928, “Thermal Agitation of Electric Charge in Conductors,” Phys. Rev., 32, pp. 110–113.
Callen,  H. B., and Welton,  T. H., 1951, “Irreversibility and Generalized Noise,” Phys. Rev., 83, No. 1, pp. 34–40.
Callen,  H. B., and Greene,  R. F., 1952, “On a Theorem of Irreversible Thermodynamics,” Phys. Rev., 86, No. 5, pp. 702–710.
Callen,  H. B., and Greene,  R. F., 1952, “On a Theorem of Irreversible Thermodynamics, II,” Phys. Rev., 88, No. 6, pp. 1387–1391.
Gabrielson,  T. B., 1993, “Mechanical-Thermal Noise in Micromachined Acoustic and Vibration Sensors,” IEEE Trans. Electron Devices, 40, No. 5, pp. 903–909.

Figures

Grahic Jump Location
The vibrating beam gyroscope
Grahic Jump Location
Optimal length of a vibrating beam gyro as a function of maneuver bandwidth for steel and silicon beams
Grahic Jump Location
Lowest RMS level of thermal noise in a vibrating beam gyroscope as a function of maneuver bandwidth for steel and silicon beams

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