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

Authors: Lunin B.S. , Yurin A.V., Basarab M.A., Matveev V.A. , Chumankin E.A. Published: 14.04.2015
Published in issue: #2(101)/2015  
DOI: 10.18698/0236-3933-2015-2-28-39

 
Category: Instrument Engineering, Metrology, Information-Measuring Instruments and Systems | Chapter: Navigation Instruments  
Keywords: wave solid-state gyroscope, resonator quality factor, thermoelastic losses, finite-element simulation

One of the key features of the resonators of wave solid-state gyros is their quality factor defining in many respects the instrument’s systematic and random errors. To enhance the resonator quality, it is necessary to take into consideration peculiar properties of different dissipative processes in design process. The contribution of these processes depends on the resonator material behaviour, its design, its surface processing quality, vacuum level in the instrument. Thermoelastic internal friction is a fundamental dissipative process. The influence of internal thermoelastic friction on the characteristics of resonators made of various materials is revealed by means of a thermoelastic processes model andfinite-element simulation. It is shown that internal thermoelastic friction in quartz glass is very small as compared to other structural materials. It permits to recommend quartz glass as a main structural material for wave solid-state gyroscope resonators.

References

[1] Raspopov V.Ya. Mikromekhanicheskie pribory [Micromechanical devices]. 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., 1969. 330 p.

[4] Braginskiy 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-chemical basis for development of hemisphere 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, S.V. Vonsovskiy ed. Moscow, Inostrannaya Lit. Publ., 1954. 248 p.).

[10] Kikoin A.K., Kikoin I.K. Kurs obshchey fiziki. Molekulyamaya 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., Lytvynov 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.

[14] Mitchell A.R., Wait R. The Finite Element Method in Partial Differential Equations. London-New York-Sydney-Toronto, John Wiley & Sons, 1977.