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IssuesArchive of Issues2019-3pp.400-411

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V.Ph. Zhuravlev, D.M. Klimov, and P.K. Plotnikov, "Usage of Computer Mechanics in the Theory of Inertial Navigation Systems," Mech. Solids. 54 (3), 400-411 (2019)
Year 2019 Volume 54 Number 3 Pages 400-411
DOI 10.3103/S0025654419020031
Title Usage of Computer Mechanics in the Theory of Inertial Navigation Systems
Author(s) V.Ph. Zhuravlev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, zhurav@ipmnet.ru)
D.M. Klimov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia)
P.K. Plotnikov (Yuri Gagarin State Technical University of Saratov (SSTU), ul. Politechnicheskaya 77, Saratov, 410054 Russia, plotnikovpk@mail.ru)
Abstract An idea of using computer mechanics for inertial navigation systems is given and examples are presented. The equations, algorithms, and properties of the pendulum-type strapdown inertial navigation system are analyzed. As a result, it has been stated that such a system is analogous to analytical systems. A similar comparison for both semi-analytical and strapdown inertial navigation systems, in which the Schuler's pendulum models are described in a horizontal coordinate system, is carried out. An analogy of their properties is established. By comparing the analytical system, platform axes of which are directed along the axes of the inertial coordinate system (orientation of the Schuler's pendulum is also described in the inertial coordinate system), and the strapdown inertial navigation system with the same orientation of the platform’s computer model (the comparison is also made for the operation algorithms of such systems), an analogy of such systems has been established. The degree of use of computer mechanics in all types of strapdown inertial navigation systems is much greater than in platform ones. According to the degree of utilization for principles of computer mechanics, types of inertial navigation systems can be arranged in the following order: strapdown pendulum, other strapdown systems, semi-analytical, analytical, and geometric platform inertial navigation systems. Their accuracy depends on the degree of sophistication of the element base, that is, on sensitive elements and on-board computers. We claim that the smaller the volume and mass of the mechanical part of the system the better its weight-and-dimensional characteristics and cost.
Keywords computer mechanics, inertial navigation, gyro-stabilized platform systems, strapdown systems, Schuler’s pendulum, oscillator, coordinate systems, gyroscope
Received 14 August 2018
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