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6
Issue
vol 61 / JUNE, 2018
Article

DOI 10.17586/0021-3454-2017-60-12-1169-1176

UDC 681.2-5:681.787.8:621.372.8:519.688:535.542.2

NUMERICAL MODELING OF THE DRIFT OF A FIBER-OPTIC GYROSCOPE WITH EXTERNAL SHOCK EXPOSURE

K. S. Galyagin
Perm State Technical University, Department of Heat Engineering; Head of the Chair


A. M. Oshivalov
Perm State Technical University, Department of Heat Engineering;


M. A. Savin
Perm National Research Polytechnic University, Department of Welding production technology and construction materials; Post-Graduate Student


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Abstract. Results of numerical investigation of phase nonreciprocity (phase drift) induced by external nonstationary mechanical forces on sensitive element of the fiber-optic gyroscope (FOG) are presented. The basis of the approach is the numerical modeling technique developed by the authors in a previous work. The specific feature of this method is that computational domain is constructed using a CAD–model of sensitive device of the FOG. Along with the fiber coil of the fiber-optic path, the model also includes the elements of the gyroscope structure. The fiber-optic path is considered as a nonhomogeneous medium with unaveraged properties with the account for its inherent periodic microstructure. The problem of non-stationary stress-strain state is solved for the entire computational domain. Then, the time of counter-propagating beam travel along the optical path and the resulting drift are calculated, using the constitutive relations of piezooptics.  The approach allows to model the nonreciprocity of phases under the action of both thermal and mechanical loads. Results of calculation of the shape of drift function for varying duration of the shock pulse, as well as for a series of pulses are demonstrated. The calculated drift shape is shown to correlate with the first derivative of the force function with respect to time. The calculated drift amplitude values are demonstrated to agree well with data of angular rate sensor tests.  
Keywords: fiber-optic gyro, drift, nonreciprocity of phases, dilatation waves, shock, impulse of force, photo-elasticity, numerical modelling, fiber-optic path, microstructure of fiber

References:
  1. Sheremet'ev A.G. Volokonnyy opticheskiy giroskop (Fiber Optical Gyroscope), Moscow, 1987, 152 р. (in Russ.)
  2. Dzhashitov V.E., Pankratov V.M. Matematicheskie modeli teplovogo dreyfa giroskopicheskikh datchikov inertsial'nykh sistem (Mathematical Models of Thermal Drift of Gyroscopic Sensors of Inertial Systems), St. Petersburg, 2001, 150 р. (in Russ.)
  3. Vakhrameev E.I., Galyagin K.S., Ivonin A.S., Oshivalov M.A., Ul'rikh T.A. Journal of Instrument Engineering, 2011, no. 1(54), pp. 32–37. (in Russ.)
  4. Vakhrameev E.I., Galyagin K.S., Ivonin A.S., Oshivalov M.A. Journal of Instrument Engineering, 2013, no. 5(56), pp. 79–84. (in Russ.)
  5. Rupasov A.V. Issledovanie metoda lokal'nogo temperaturnogo vozdeystviya i ego primenenie dlya kompensatsii dreyfa volokonno-opticheskogo giroskopa (Research of a Method of Local Temperature Influence and Its Application for Compensation of Drift of a Fiber-Optical Gyroscope), Candidate’s thesis, St. Petersburg, 2014. (in Russ.)
  6. Zhang Zhuomin, Hu Wenbin, Liu Fang, Gan Weibing, Yang Yan, TELKOMNIKA, 2013, no. 4(11), pp. 1948–1955.
  7. Kurbatov M., Kurbatov R.A. Journal of Communications Technology and Electronics, 2013, no. 8(58), pp. 840–846.
  8. Zhongxing Gao, Yonggang Zhang, Yunhao Zhang. Sensors, 2016, no. 16. DOI:10.3390/s16071131.
  9. Pan Xiong, Zhang Chun-Sheng, Wang Xi-Chen, Wang Xia-Xiao. Journal of vibration and shock, 2015, no. 15(34). DOI: 10.13465/j.cnki.jvs.2015.15.012.
  10. Volkovskiy S.A. Sozdanie i issledovanie algoritmicheskikh metodov povysheniya tochnostnykh i ekspluatatsionnykh kharakteristik volokonno-opticheskogo giroskopa (Creation and Research of Algorithmic Methods of Increase in Precision and Operational Characteristics of a Fiber-Optical Gyroscope), Candidate’s thesis, St. Petersburg, 2016. (in Russ.)
  11. Galyagin K.S., Oshivalov M.A., Selyaninov Yu.A., Savin M.A. Journal of Instrument Engineering, 2015, no. 12(58), pp. 7–11. (in Russ.)
  12. Galyagin K.S., Oshivalov M.A., Savin M.A. PNRPU Mechanics Bulletin, 2015, no. 4, pp. 55–71. (in Russ.)
  13. Kinslow R. High velocity impact phenomena,NY and London, Academic Press, 1970.
  14. Panovko Ya.G. Osnovy prikladnoy teorii kolebaniy i udara (Bases of the Applied Theory of Fluctuations and Blow), Leningrad, 1976. (in Russ.)
  15. Kil'chevskiy N.A. Teoriya soudareniya tverdykh tel (The Theory of Collision of Solid Bodies), Kiev, 1969. (in Russ.)