Analysis of the quality factor of the sensitive element of a wave solid-state gyroscope with a metal resonator

V.Ya. Raspopov; S.V. Egorov

doi:10.18127/j20700814-202605-15

Analysis of the quality factor of the sensitive element of a wave solid-state gyroscope with a metal resonator

V.Ya. Raspopov¹, S.V. Egorov²

research article UDC 681.518.3 Pages: 119-128 doi.org/10.18127/j20700814-202605-15

^1,2 Tula State University (Tula, Russia)

Keywords: Wave solid-state gyroscope quality factor damping internal friction

Abstract

The operation of a wave solid-state gyroscope is significantly affected by the damping of its structural elements and the environment. In this paper, we determine the influence of structural elements, the environment, and electrical circuits on the quality factor of a solid-state wave gyroscope, the sensitive element of which is made of a metal resonator in the form of a "shot glass". The quality factor of the metal resonator, piezoelectric elements with an adhesive layer, damping of the environment and electrical circuits, as well as the quality factor of the piezoelectric elements were determined.

Received: 15.12.2025
Approved after review: 23.01.2026
Accepted: 01.09.2026

How to cite

Распопов В.Я., Егоров С.В. Анализ добротности чувствительного элемента волнового твердотельного гироскопа с металлическим резонатором // Информационно-измерительные и управляющие системы. 2026. Т. 24. № 5. С. 119−128. DOI: https://doi.org/10.18127/j20700814-202605-15

References

Lynch D.D. Vibration-induced drift in the hemi-spherical resonator gyro. Dayton. Ohio. Proc. Annual Meeting of the Institute of Navigation. 23–25 June. 1987. P. 34–37.
Apostolyuk V. Coriolis vibratory gyroscopes: Theory and design. Cham. Switzerland. Springer International Publishing. 2016. P. 117.
Raspopov V.Ya., Volchihin I.A., Volchihin A.I., Ladonkin A.V., Lihosherst V.V., Matveev V.V. Volnovoj tverdotel'nyj giroskop s metallicheskim rezonatorom. Tula. Izd-vo TulGU. 2018. C. 189 (In Russian).
Matveev V.V., Lihosherst V.V. Vliyanie perekrestnyh svyazej na dinamiku koriolisovogo vibracionnogo giroskopa. Tula. Izv. TulGU. Ser.: Tekhnicheskie nauki. 2019. T. 8. S. 24 (In Russian).
Luk'yanov D.P., Raspopov V.Ya., Filatov Yu.V. Prikladnaya teoriya giroskopov: uchebnik dlya vuzov. SPb.: GNC RF OAO Koncern «Elektropribor». 2015. S. 315 (In Russian).
Zhuravlyov V.F., Klimov D.M. Volnovoj tverdotel'nyj giroskop. M.: Nauka, 1985. C. 125 (In Russian).
Ziner K. Uprugost' i neuprugost' metallov. M.: Izd-vo inostrannoj literatury. 1954. S. 9–168 (In Russian).
Jiangkun Sun, Yulie Wu, Xiang Xi, Yongmeng Zhang, Xuezhong Wu. Analysis of the Damping Characteristics of Cylindrical Resonators Influenced by Piezoelectric Electrodes. Switzerland. Sensors. May 2017. V. 17. P. 1–13.
Bolkisev A.M. Dissipation of energy during harmonic loading of a viscous-elastic piezoceramic material. Int. Appl. Mech. 1987. V. 23. P. 248–252.
Cheng G.A. Summary of statistical energy analysis method and its loss factor’s determination. Ship Eng. 2004. V. 26. P. 10–15.
Franklin A.G. Energy dissipation of a kaolinite at different water contents. Clays Clay Miner. 1968. V. 16. P. 353–364.
Shi Y., Wang Q., Liang L., Meng Y., Zhao N. Mechanical model for surface patched piezoelectric ceramic actuator. J. Shenyang Jianzhu Univ. 2011. V. 27. P. 846–851.
Rao S.S., Yap F.F. Mechanical Vibrations; Prentice Hall: Miami. USA. FL. 2011. V. 4. P 1–1084.
Nelyub V.A., Borodulin A.S. Svojstva epoksidnyh materialov, primenyaemyh dlya izgotovleniya stekloplastikov metodom namotki. M.: MGTU im. N.E. Baumana. 2017. C. 7–12 (In Russian).
Postnikov V.S. Temperaturnaya zavisimost' vnutrennego treniya chistyh metallov i splavov. Uspekhi fizicheskih nauk. Sentyabr' 1958. S. 43–45 (In Russian).
Cobkallo S.O., Chelnokov V.A. Novyj metod opredeleniya istinnogo zatuhaniya kolebanij v metallah. Zhurnal tekhnicheskoj fiziki. 1954. T. 24. Vyp. 3. S. 499–510 (In Russian).
Postnikov V.S., Piguzov Yu.V. Pribor dlya opredeleniya modulya sdviga i vnutrennego treniya provolochnyh obrazcov. Pribory i stendy. ITEIN AN SSSR. 1955. № PS-55-448 (In Russian).
Poltavskij L. Soviet Physics (Zhurnal sovetskoj fiziki). 1933. T. 3. S. 555 (In Russian).
Wegel R.L., Walther H. Internal Friction in Metals. Physics. 1936. V. 6. P. 141.
Haritonov A.V. O zavisimosti vnutrennego treniya v metallah ot amplitudy kolebanij. Akusticheskij zhurnal. 1963. T. 9. Vyp. 1. S. 80–87.
Bozοrt R. Ferromagnetizm. M.: GIIL. 1956 (In Russian).
Granatо A., Lücke K. Theory of mechanical damping due to dislocations. J. Appl. Phys. 1956. V. 27. № 6. P. 583–593.
Application of dislocation theory to internal friction phenomena at high frequencies. Phys. V. 7. P. 789–805.

[1] Lynch D.D. Vibration-induced drift in the hemi-spherical resonator gyro. Dayton. Ohio. Proc. Annual Meeting of the Institute of Navigation. 23–25 June. 1987. P. 34–37.

[2] Apostolyuk V. Coriolis vibratory gyroscopes: Theory and design. Cham. Switzerland. Springer International Publishing. 2016. P. 117.

[3] Raspopov V.Ya., Volchihin I.A., Volchihin A.I., Ladonkin A.V., Lihosherst V.V., Matveev V.V. Volnovoj tverdotel'nyj giroskop s metallicheskim rezonatorom. Tula. Izd-vo TulGU. 2018. C. 189 (In Russian).

[4] Matveev V.V., Lihosherst V.V. Vliyanie perekrestnyh svyazej na dinamiku koriolisovogo vibracionnogo giroskopa. Tula. Izv. TulGU. Ser.: Tekhnicheskie nauki. 2019. T. 8. S. 24 (In Russian).

[5] Luk'yanov D.P., Raspopov V.Ya., Filatov Yu.V. Prikladnaya teoriya giroskopov: uchebnik dlya vuzov. SPb.: GNC RF OAO Koncern «Elektropribor». 2015. S. 315 (In Russian).

[6] Zhuravlyov V.F., Klimov D.M. Volnovoj tverdotel'nyj giroskop. M.: Nauka, 1985. C. 125 (In Russian).

[7] Ziner K. Uprugost' i neuprugost' metallov. M.: Izd-vo inostrannoj literatury. 1954. S. 9–168 (In Russian).

[8] Jiangkun Sun, Yulie Wu, Xiang Xi, Yongmeng Zhang, Xuezhong Wu. Analysis of the Damping Characteristics of Cylindrical Resonators Influenced by Piezoelectric Electrodes. Switzerland. Sensors. May 2017. V. 17. P. 1–13.

[9] Bolkisev A.M. Dissipation of energy during harmonic loading of a viscous-elastic piezoceramic material. Int. Appl. Mech. 1987. V. 23. P. 248–252.

[10] Cheng G.A. Summary of statistical energy analysis method and its loss factor’s determination. Ship Eng. 2004. V. 26. P. 10–15.

[11] Franklin A.G. Energy dissipation of a kaolinite at different water contents. Clays Clay Miner. 1968. V. 16. P. 353–364.

[12] Shi Y., Wang Q., Liang L., Meng Y., Zhao N. Mechanical model for surface patched piezoelectric ceramic actuator. J. Shenyang Jianzhu Univ. 2011. V. 27. P. 846–851.

[13] Rao S.S., Yap F.F. Mechanical Vibrations; Prentice Hall: Miami. USA. FL. 2011. V. 4. P 1–1084.

[14] Nelyub V.A., Borodulin A.S. Svojstva epoksidnyh materialov, primenyaemyh dlya izgotovleniya stekloplastikov metodom namotki. M.: MGTU im. N.E. Baumana. 2017. C. 7–12 (In Russian).

[15] Postnikov V.S. Temperaturnaya zavisimost' vnutrennego treniya chistyh metallov i splavov. Uspekhi fizicheskih nauk. Sentyabr' 1958. S. 43–45 (In Russian).

[16] Cobkallo S.O., Chelnokov V.A. Novyj metod opredeleniya istinnogo zatuhaniya kolebanij v metallah. Zhurnal tekhnicheskoj fiziki. 1954. T. 24. Vyp. 3. S. 499–510 (In Russian).

[17] Postnikov V.S., Piguzov Yu.V. Pribor dlya opredeleniya modulya sdviga i vnutrennego treniya provolochnyh obrazcov. Pribory i stendy. ITEIN AN SSSR. 1955. № PS-55-448 (In Russian).

[18] Poltavskij L. Soviet Physics (Zhurnal sovetskoj fiziki). 1933. T. 3. S. 555 (In Russian).

[19] Wegel R.L., Walther H. Internal Friction in Metals. Physics. 1936. V. 6. P. 141.

[20] Haritonov A.V. O zavisimosti vnutrennego treniya v metallah ot amplitudy kolebanij. Akusticheskij zhurnal. 1963. T. 9. Vyp. 1. S. 80–87.

[21] Bozοrt R. Ferromagnetizm. M.: GIIL. 1956 (In Russian).

[22] Granatо A., Lücke K. Theory of mechanical damping due to dislocations. J. Appl. Phys. 1956. V. 27. № 6. P. 583–593.

[23] Application of dislocation theory to internal friction phenomena at high frequencies. Phys. V. 7. P. 789–805.

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