Email this article 
Use of wave phenomena in spatial elastic media for determination of angular motion solid body
- Authors: Perelyaev S.E.1
-
Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the RAS
- Issue: Vol 89, No 3 (2025)
- Pages: 428-437
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/306486
- DOI: https://doi.org/10.31857/S0032823525030065
- EDN: https://elibrary.ru/jldoeq
- ID: 306486
Cite item
Open Access
Access granted
Subscription Access
Abstract
In the considered well-known publications of the fundamental theory of wave gyroscopes with respect to a thin ring, cylinder, hemisphere, the effect of inertness of elastic waves has a one-dimensional character: the angular velocity of a body is a scalar characterising the rotation of an elastic solid body around an axis fixed in space. The generalisation of this effect to the spatial case is considered and investigated: an elastic spherically symmetric solid body with a free boundary, on which mass forces act.
About the authors
S. E. Perelyaev
Ishlinsky Institute for Problems in Mechanics of the RAS
Author for correspondence.
Email: pers2030@yandex.ru
Moscow, Russia
References
- Foucault L.Demonstration physique du mouvement de la Terre au moyen du pendule // C.R. Acad. Sci. Paris, 1851, vol.32, рр. 135–138.
- Zhuravlev V.F., Klimov D.M.About dynamic effects in an elastic rotating ring (in Russian) // Izv. of the USSR Acad. of Sciences. MTT, 1983, no. 5, pp. 17–24.
- Leger P.Quapason – a new low-cost vibrating gyroscope // 3nd Saint-Petersburg Intern. Conf. On Integrated Navigation Systems. Saint-Petersburg, 1996, pt. 1, pp. 143–149.
- Loper E.J., Lynch D.D.Sonic Gyro Fabrication and Testing, Delco Electronics Division, report R77-64, August 1977.
- Loper E.J., Lynch D.D.The HRG: A new low-nose inertial rotation sensor // in: Proc. 16 Jt. Services Data Exchange for Inertial Systems. Los Angeles, CA, 1982.
- Scott W.B.Delco makes low-cost gyro prototype // Aviat. Week, 1982, vol. 117, no. 17, pp. 64–72.
- Loper E.J., Lynch D.D.Projected system performance based on recent HRG test results // Paper S83–105, IEEE/AIAA 5th Digital Avionics Syst. Conf., 31 Oct.–3 Nov., 1983.
- Loper E.J., Lynch D.D.Vibratory Rotational Sensor. Patent EU, no.0141621 A2. 1984.
- Zhuravlev V.F., Klimov D.M.Wave Solid-State Gyroscope. Moscow: Nauka, 1985. 125 p. (in Russian)
- Bryan G.H.On the beats in the vibrations of revolving cylinder or bell // Proc. Cambr. Phil. Soc., 1890, vol. 7, pp. 101–111.
- Zhuravlev V.F., Klimov D.M.Applied Methods in the Theory of Vibrations. Moscow: Nauka, 1988. 325 p. (in Russian)
- Zhuravlev V.F.Theoretical bases of the wave solid-state gyroscope. // Izv. RAS. MTT, 1993, no. 3, pp. 15–26.
- Zhuravlev V.F.Principle questions of the theory of new gyroscopic sensors of the family “generalized Foucault pendulum” // in: Problems of Mechanics: Coll. of art. To the 90th anniversary of A.Y.Ishlinsky. Moscow: Fizmazlit, 2003. 832 p. (in Russian)
- Klimov D.M., Zhuravlev V.F., Zhbanov Y.K.Quartz Hemispherical Resonator (Wave Solid-State Gyroscope). Moscow: Kim L.A., 2017. 194 p.
- Zhuravlev V., Perelyaev S.The generalized Foucault pendulum is a 3D integrating gyroscopes using the three-dimensional precession of standing waves in a rotating spherically symmetric elastic solid // DGON Inertial Sensors and Systems Symp. IEEE, 2019, pp. 1–12.
- Zhuravlev V.F.; Klimov D.M.Spatial effect of inertia of elastic waves on the sphere // Izv. RAS. MTT, 2021, no. 3, pp. 3–6. (in Russian)
- Perelyaev S.E., Skripkin A.A.Patent No. 2763688 Russian Federation, MPK G01C 19/56 (2021.08). Spatial integrating solid wave gyroscope. Applicant. 05.10.2020; Published on 30.12.2021.
Supplementary files
