Development and Validation of the Technique for Simulating Thermal and Strain State of Strapdown Inertial Navigation System Parts

Authors: Frolov A.V., Mikhaylov Yu.V., Smirnov S.V. Published: 21.03.2022
Published in issue: #1(138)/2022  
DOI: 10.18698/0236-3933-2022-1-32-48

Category: Instrument Engineering, Metrology, Information-Measuring Instruments and Systems | Chapter: Navigation Instruments  
Keywords: strapdown INS, calculation technique, ANSYS, conjugate heat transfer, accelerometer, gyroscope, axle deviation angles


This article shows an importance of a reliable assessment of thermoelastic deformations of the axles of sensitive elements and their subsequent algorithmic compensation in order to improve the accuracy of strapdown inertial navigation system. For this purpose, a technique for simulation of temperature fields of a strapdown inertial navigation system has been developed using the ANSYS software. The technique combines several methodological approaches to the preparation of computational models used to simulate the thermal and strain state of instrument parts, to calculate free-convective air circulation in the internal space, as well as a methodical approach to solving the problem of gas dynamics and heat transfer. To validate the developed technique bench testing was carried out with temperature measurements during device self-heating. A satisfactory agreement between the calculated and experimental data was established, indicating the adequacy of the chosen mathematical model and the developed calculation scheme for a strapdown inertial navigation system. Based on the validation results, it is recommended to use the developed technique for predicting the thermal and stress-strain state of a strapdown inertial navigation system parts and for determining the deviation angles of the sensitive element axles in various conditions, including transient operating modes. A methodical approach is proposed for calculating the angles of sensitive elements, on the basis of using special two-node finite elements and relations for Bryant angles describing the relative position of two coordinate systems in space

Please cite this article in English as:

Frolov A.V., Mikhaylov Yu.V., Smirnov S.V. Development and validation of the technique for simulating thermal and strain state of strapdown inertial navigation system parts. Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2022, no. 1 (138), pp. 32--48 (in Russ.). DOI: https://doi.org/10.18698/0236-3933-2022-1-32-48


[1] Chatfield A.B. Fundamentals of high accuracy inertial navigation. AIAA, 1997. DOI: https://doi.org/10.2514/5.9781600866463.0000.0000

[2] Titterton D., Weston J. Strapdown inertial navigation technology. Institution of Engineering and Technology, 2005.

[3] Lawrence A. Modern inertial technology: navigation, guidance, and control. Mechanical Engineering Series. New York, Springer, 1998. DOI: https://doi.org/10.1007/978-1-4612-1734-3

[4] Noureldin A., Karamat T.B., Georgy J. Fundamentals of inertial navigation, satellite-based positioning and their integration. Berlin, Heidelberg, Springer, 2013. DOI: https://doi.org/10.1007/978-3-642-30466-8

[5] Peshekhonov V.G. Gyroscopic navigation systems: current status and prospects. Gyroscopy Navig., 2011, vol. 2, no. 3, art. 111. DOI: https://doi.org/10.1134/S2075108711030096

[6] Klimkovich B.V., Tolochko A.M. [Navigation-grade SINS calibration in inertial operation mode]. XXII Sankt-Peterburgskaya mezhdunar. konf. po integrirovannym navigatsionnym sistemam [XXII St. Petersburg Int. Conf. Integrated Navigation Systems]. St. Petersburg, 2015, pp. 250--256 (in Russ.).

[7] Savage P.G. Strapdown sensors. Strapdown Inertial Systems --- Theory and Applications. NATO AGARD Lecture Series No. 95. North Atlantic Treaty Organization, Section 2. June. 1978.

[8] Dzhashitov V.E., Pankratov V.M., Golikov A.V., et al. Hierarchical thermal models of FOG-based strapdown inertial navigation system. Gyroscopy Navig., 2014, vol. 5, no. 3, pp. 162--173. DOI: https://doi.org/10.1134/S2075108714030031

[9] Gromov D.S. Thermal protection and thermal stabilization of fiber-optical gyroscope included in strapdown inertial navigation system. Nauchno-tekhnicheskiy vestnik informatsionnykh tekhnologiy, mekhaniki i optiki [Scientific and Technical Journal of Information Technologies, Mechanics and Optics], 2014, no. 2, pp. 137--142 (in Russ.).

[10] Menter F. CFD best practice guidelines for CFD code validation for reactor safety applications. European Commission, 5th EURATOM framework programmer. Berlin, GRS, 2004.

[11] Zienkiewicz O.C. The finite element method. McGraw-Hill, 1977.

[12] Patankar S.V. Numerical heat transfer and fluid flow. McGraw-Hill, 1980.

[13] Mikheev M.A., Mikheeva I.M. Osnovy teploperedachi [Heat transfer fundamentals]. Moscow, Energiya Publ., 1977.

[14] Schlunder E.U., ed. Heat exchanger design handbook. Hemisphere Publ., 1983.

[15] Sosnovwski M., Krzywanski J., Grabowska K., et al. Polyhedral meshing in numerical analysis of conjugate heat transfer. EPJ Web Conf., 2018, vol. 180, art. 02096. DOI: https://doi.org/10.1051/epjconf/201818002096

[16] Nikravesh P. Computer-aided analysis of mechanical systems. Prentice Hall, 1988.