Thermoelastic losses in structural materials of wave solid-state gyroscope resonators

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is limited with value 107. At higher vibration frequencies, this type of
internal friction in quartz glass can be neglected.
Conclusion. Thermoelastic internal friction is a fundamental dissipative
process whose intensisty in thin-walled mechanical resonators can be high.
In kHz range of frequences, with WSG resonator wall thicknesses equal
to 0.5. . . 1.0 mm, this type of internal friction limits the quality factor of
resonators made of corrosion-resistant steel and aluminium alloys on the
level of some tens of thousands, while the quality factor of resonators made
of silicon and sapphire is limited on the level of 105. In quartz glass, the
thermoelastic internal friction is very small, which permits to recommend
it as the basic structural material for WSG resonators.
REFERENCES
[1] Raspopov . Mikromekhanicheskie pribory [Micromechanical instruments].
Moscow, Mashinostroenie Publ., 2007. 400 p.
[2] Loper E.J., Lynch D.D., Stevenson K.M. Projected performance of smaller
hemispherical resonator gyros // Proc. Position Location and Navigation Symposium
(PLANS’86). 1986, November 4–7. Las Vegas, NV, USA, pp. 61–64.
[3] Postnikov V.S. Vnutrennee trenie v metallakh [Internal friction in metals]. Moscow,
Metallurgiya Publ., 1968. 330 p.
[4] Braginsky V.B., Mitrofanov V.P., Panov V.I. Sistemy s maloy dissipatsiey [Systems
with small dissipation]. Moscow, Nauka Publ., 1981. 142 p.
[5] Lunin B.S. Fiziko-khimicheskie osnovy razrabotki polusfericheskikh rezonatorov
volnovykh tverdotelnykh giroskopov [Physical and chemical theories for the
development of hemispherical resonator gyroscopes]. Moscow, MAI Publ., 2005,
224 p.
[6] Yi Y.B. Geometric effects on thermoelastic damping in MEMS resonators. Journal
of Sound and Vibration, 2008, vol. 309, pp. 588–599.
[7] Wong S.J., Fox C.H.J., McWilliam S. Thermoelastic damping of the in-plane
vibration of thin silicon rings. Journal of Sound and Vibration, 2006, vol. 293,
pp. 266–285.
[8] Prabhakar S., Vengallatore S. Thermoelastic damping in bilayered micromechanical
beam resonators. Journal of Micromechanics and Microengineering, 2007, vol. 17,
pp. 532–538.
[9] Zener C.M. Elasticity and Anelasticity of Metals. USA, Chicago, Univ. of Chicago
Press, 1948 (Russ. ed.: Ziner K. Uprugost’ i neuprugost’ metallov [Elasticity and
Anelasticity of Metals], S.V. Vonsovskiy ed. Moscow, Inostrannaya Lit. Publ., 1954.
248 p.).
[10] Kikoin A.K., Kikoin I.K. Kurs obschey fiziki. Molekulyarnaya fizika [General
physics course. Molecular Physics]. Moscow, Nauka Publ., 1976. 480 p.
[11] Chikovani V.V., Yatsenko Yu.A. Investigation of azimuth accuracy measurement with
metallic resonator Coriolis vibratory gyroscope. Proc. XVII Int. Conf. on Integrated
Navigation Systems. St. Petersburg, 2010, May 31–June 2, pp. 25–30.
[12] Sarapuloff S.A., Lytvinov L.A., Bakalor T.O. Particularities of designs and fabrication
technology of high-Q sapphire resonators of CRG-1 type solid-state gyroscopes. Proc.
XIV Int. Conf. on Integrated Navigation Systems. St. Petersburg, 2007, May 28–30,
pp. 47–48.
[13] Yi Y.B. Finite element analysis of thermoelastic damping in contour-mode vibrations
of micro- and nanoscale ring, disk and elliptical plate resonators// Journal of Vibration
and Acoustics, 2010, vol. 132.
36 ISSN 0236-3933. HERALD of the BMSTU. Series Instrument Engineering. 2015. No. 2