A.O. Sinelnikov1, A.A. Ushanov2, N.V. Tikhmenev3, P.S. Romanov4
1 Peoples' Friendship University of Russia (RUDN University) (Moscow, Russia)
1–4 JSC «State Research Institute of Instrument Engineering» (GosNIIP) (Moscow, Russia)
1 sinelnikov-ao@rudn.ru, 2 a.a.ushanov@mail.ru, 3 nik-tikhmenev@yandex.ru, 4 romanov_p7274@mail.ru
Ring laser gyroscopes are widely used in high-precision inertial navigation systems due to their high sensitivity and stability of output parameters. However, the effectiveness of the mechanical dither mechanism, employed to overcome the frequency lock-in effect of counter-propagating waves in the resonator, is significantly reduced under external vibrations. Vertical oscillations of the resonator monoblock lead to suppression of the operating torsional vibration amplitude of the dither spring, causing nonlinearity in the output characteristic of the ring laser gyroscope and increased measurement error.
This study aims to analyze the influence of the resonator vertical mechanical vibrations on the dynamics and accuracy characteristics of a ring laser gyroscope with a mechanical dither, as well as to identify the mechanisms of intermode interactions that disrupt its operation.
Using finite element modeling and experimental research, it was established that resonant vertical oscillations of the resonator monoblock at frequencies above 300 Hz can suppress the torsional vibration amplitude of the dither spring by up to 30% and increase the random error of angular velocity measurement by up to 4 times. Spectral analysis of the signals confirmed the presence of beats between vibration modes, which causes modulation of the dither amplitude and temporary exit of the gyroscope from its operational mode.
The identified patterns justify the need to increase the resonator monoblock mounting rigidity to shift parasitic modes beyond the operating frequency range. The obtained data can be used to optimize ring laser gyroscope design and develop algorithms for digital compensation of vibration-induced errors, which is critically important for ensuring the reliability of autonomous navigation systems in aerospace, marine navigation, and other high-tech and knowledge-intensive fields.
Sinelnikov A.O., Ushanov A.A., Tikhmenev N.V., Romanov P.S. Influence of vertical vibrations on the ring laser gyroscope functioning // Achievements of modern radioelectronics. 2026. V. 80. № 6. P. 36–45. DOI: https://doi.org/10.18127/j20700784-202606-03
- Boykov V.G., Gaganov I.V., Fayzullin F.R., Yudakov A.A. Modelirovaniye dvizheniya mekhanicheskoy sistemy, sostoyashchey iz deformiruyemykh uprugikh tel, putëm integratsii dvukh paketov: Euler i Fidesys. Chebyshevskiy sbornik. 2017. T. 18. № 3(63). S. 131–153. DOI 10.22405/2226-8383-2017-18-3-131-153. (in Russian).
- Boreysho A.S. Lazery: primeneniya i prilozheniya. SPb.: Izdatel'stvo «Lan'». 2022. (in Russian).
- Gavrilov A.V., Tikhmenev N.V., Fimkin A.A., Sinel'nikov A.O. Analiz krutil'nykh kolebaniy lazernogo giroskopa na vibropodvese s ispol'zovaniyem programmnogo kompleksa «Luch». Yestestvenn·yye i tekhnicheskiye nauki. 2024. № 3 (190). S. 186–189. DOI: 10.25633/ETN.2024.03.18. (in Russian).
- Kuznetsov A.G., Molchanov A.V., Chirkin M.V., Izmaylov Ye.A. Pretsizionnyy lazernyy giroskop dlya avtonomnoy inertsial'noy navigatsii. Kvantovaya elektronika. 2015. T. 45. № 1. S. 78–88. (in Russian).
- Luk'yanov D.P., Raspopov V.Ya., Filatov Yu.V. Prikladnaya teoriya giroskopov, SPb.: GNTs RF OAO «Kontsern «TSNII «Elektropribor». 2015. (in Russian).
- Peshekhonov V.G. Vysokotochnaya navigatsiya bez ispol'zovaniya informatsii global'nykh navigatsionnykh sputnikovykh sistem. Giroskopiya i navigatsiya. 2022. T. 30. № 1 (116). S. 3–11. DOI: 10.17285/0869-7035.0084. (in Russian).
- Sinel'nikov A.O., Zapotyl'ko N.R., Zubarev Ya.A., Katkov A.A. Osobennosti primeneniya sitalla SO-115M pri izgotovlenii opticheskikh detaley kol'tsevykh He-Ne lazerov. Steklo i keramika. 2023. T. 96. № 5(1145). S. 3–13. DOI 10.14489/glc.2023.05.pp.003-013.
(in Russian). - Sinel'nikov A.O., Tikhmenev N.V., Ushanov A.A. Medvedev V.M. Sovremennoye sostoyaniye i tendentsii razvitiya inertsial'nykh navigatsionnykh sistem na kol'tsevykh lazernykh giroskopakh. Fotonika. 2024. T. 18. № 6. S. 450–466. DOI: 10.22184/1993-7296.FRos.2024.18.6.450.466. (in Russian).
- Tikhmenev N.V., Nazarov S.I., Ushanov A.A., Sinel'nikov A.O. Issledovaniye funktsionirovaniya kol'tsevogo lazernogo giroskopa pri vibratsionnykh vozdeystviyakh. Upravleniye bol'shimi sistemami. 2024. V. 109. S. 293–309. M.: IPU RAN. DOI: 10.25728/ubs.2024.109.13. (in Russian).
- Aronovitz F. Fundamentals of the ring laser gyro. Optical Gyros and their Application, RTO AGARDograph 339, 3-1-3-45 (1999).
- Choi W.S., Shim K.M., Chong K.H., An J.E., Kim, C.J., Park B.Y. Sagnac Effect Compensations and Locked States in a Ring Laser Gyroscope. Sensors. 2023, 23, 1718. https://doi.org/10.3390/s23031718
- Choi W.S., Shim K.M., Kim C-J., Park B.Y. Effective Frequency Lock-In Changes of a Ring Laser Gyroscope Due to Harmonic Components of Dithering Signal. IEEE Sensors Letters. May 2023. V. 7. № 5. P. 1–4. Art № 1500504. Doi: 10.1109/LSENS.2023.3267886.
- Chopra K.N. Ring Laser Gyroscopes. In: Optoelectronic Gyroscopes. Progress in Optical Science and Photonics, Springer, Singapore. 2021, 11. https://doi.org/10.1007/978-981-15-8380-3_1.
- Damianos D., Girardin G. High-End Inertial Sensors for Defense, Aerospace & Industrial Applications. Market and Technology Report by Yole development. 2020.
- Golovan A.A., Mishin V.Yu., Molchanov A.V., Chirkin M.V. Method for analyzing the influence of the errors induced by the gyroscopic channel of a strapdown INS in the autonomous mode. Journal of computer and systems sciences international. 2021. V. 60. № 4. P. 627–638. https://doi.org/10.1134/S1064230721040043.
- Krasnorutskiy D.A., Lakiza P.A., Berns V.A., Zhukov E.P. Finite Element Model Updating Method of Dynamic Systems. PNRPU Mechanics Bulletin. 2021. № 3. P. 84–95. DOI: 10.15593/perm.mech/2021.3.08.
- Li Y., Tian K., Hao P., Wang B., Wu H., Wang B. Finite element model updating for repeated eigenvalue structures via the reduced-order model using incomplete measured modes. Mechanical Systems and Signal Processing, 142, 2020, 106748. Doi:10.1016/j.ymssp.2020.106748.
- Liu J., Weng J., Jiang J., Liu Y., Jiao M., Zhao K., Zheng Y. Study of the Steady-State Operation of a Dual-Longitudinal-Mode and Self-Biasing Laser Gyroscope. Sensors 2022, 22, 6300. https://doi.org/10.3390/s22166300
- Lyu M., Ma J., Yang H., Sun Y., Ao X., Xu J., Liu S. Polymorphic enhancement of random noise injection in mechanically dithered laser gyroscopes. Journal of Applied Optics. 2024. 45(6). P. 1284–1290. DOI: 10.5768/JA0202445.0607001.
- Markvart A.A., Liokumovich L.B., Ushakov N.A. Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensors. St. Petersburg State Polytechnical University Journal. Physics and Mathematics. 2022. № 15 (3). P. 185–200. DOI: https://doi.org/10.18721/JPM.15314.
- Osipov D.V., Parshin A.N. Harmonic analysis on the rank-2 value group of a two-dimensional local field. Sbornik: Mathematics. 2020. V. 211. № 1. P. 115–160. DOI 10.1070/SM9201. EDN IOOUZT.
- Sinelnikov A.O., Tikhmenev N.V., Ushanov A.A., Nazarov S.I. Interaction of the Dither of a Ring Laser Gyroscope with an External Mechanical Disturbance. IEEE Xplore. 2023. P. 1–4. Doi: 10.23919/ICINS51816.2023.10168376.
- Voropai N.I., Golub I.I., Efimov D.N. et al. Spectral and Modal Methods for Studying Stability and Control of Electric Power Systems. Automation and Remote Control. 2020. V. 81. № 10. P. 1751–1774. DOI 10.1134/S000511792010001X. EDN TADKJA.
- Xudong Y., Xingwu L. Parametric design of mechanical dither with bimorph piezoelectric actuator for ring laser gyroscope. International Journal of Applied Electromagnetics and Mechanics, 47, 2015. P. 305–312. DOI: 10.3233/JAE-140008.
- Yu X., Wei G., Long X., Tang J. Finite Element Analysis and Optimization of Dither Mechanism in Dithered Ring Laser Gyroscope. International Journal of Precision Engineering and Manufacturing. 2013. V. 14. № 3. P. 415–421. DOI: 10.1007/s12541-013-0057-3.
- Yakimov V.N., Batyschev V.I., Mashkov A.V. Digital Analysis of the Vibration Signals Amplitude Spectrum Based on Fourier Processing of the Binary-Sign Analog-Stochastic Quantization Result. Mekhatronika, Avtomatizatsiya, Upravlenie. 2019. 20(12). R. 723-731. https://doi.org/10.17587/mau.20.723-731. (in Russian).
- Fan Z., Yuan B., Luo H., Tan Z., Wu S., Hu S. Random walk reduction in dithered ring laser gyroscope. Opt. Express. 2023. № 31. P. 7959-37967. https://doi.org/10.1364/OE.500916.

