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.
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References
A. Yu. Ishlinskii, Mechanics of Gyroscopic Systems (Izd-vo AN SSSR, Moscow, 1963) [in Russian].
D. M. Klimov, Inertial Navigation at Sea (Nauka, Moscow, 1976) [in Russian].
P. B. Bromberg, Theory of inertial navigation systems (Fizmatgiz, Moscow, 1970) [in Russian].
V. N. Branets and I. P. Shmyglevskii, Introduction to the Theory of Strapdown Inertial Navigation Systems (Nauka, Moscow, 1992) [in Russian].
O. N. Anuchin and G. I. Emelyantsev, Integrated Orientation and Navigation Systems for Marine Moving Objects (Central Research Institute “Elektropribor”, Sankt Petersburg, 1999) [in Russian].
Yu. N. Chelnokov, “Determination of Position and Orientation of Moving Objects from Sensors of Platformless Inertial Navigation Systems, through On-Board Computer Solution of the Quaternion Equations of Motion of Gyroscopic Systems,” Izv. Akad. Nauk. SSSR Mekh. Tv. Tela, No. 4, 3–12 (1991) [Mech. Sol. (Engl. Transl.)].
V. Ph. Zhuravlev, “A Strapdown Inertial System of Minimum Dimension (A 3D Oscillator as a Complete Inertial Sensor),” Izv. Ros. Akad. Nauk. Mekh. Tv. Tela, No. 5, 5–10 (2005) [Mech. Sol. (Engl.Transl.) 40 (5), 1–5 (2005)].
V. Ph. Zhuravlev, “Strapdown Inertial Navigation System of Pendulum Type,” Izv. Ros. Akad. Nauk. Mekh. Tv. Tela, No. 1, 6–17 (2014) [Mech. Sol. (Engl. Transl.) 49 (1), 1–10 (2014)].
V. P. Seleznev, Navigation Devices (Mashinostroyeniye, Moscow, 1974) [In Russian].
V. G. Peshekhonov, “Gyroscopes of the Beginning of the 21st Century,” Gir. Nav., No. 4, 5–18 (2003).
P. K. Plotnikov, “The Elements of Theory of Work of one Version Strapdown Inertial Systems of Navigation,” Gir. Nav., No. 4, 23–24 (1999).
P. K. Plotnikov, “Construction and Analysis of Quaternion Differential Equations of the Problem for Determining the Orientation of a Solid Using a Strapdown Inertial Navigation System,” Izv. Akad. Nauk. Mekh. Tv. Tela, No. 2, 3–14 (1999). [Mech. Sol. (Engl. Transl.)].
P. K. Plotnikov, et al, “Comparative Analysis of the Properties of a Semi-Analytical Inertial Navigation System and its Strapdown Analog,” Aero. Prib., No. 3, 17–23 (2005).
B. I. Nazarov, Gyroscopic Devices (Ministerstvo Oborony SSSR, Moscow, 1970) [in Russian].
V. D. Andreev, Theory of Inertial Navigation. Autonomous Systems (Fizmatgiz, Moscow, 1966) [in Russian].
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Russian Text © Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 2, pp. 48–62.
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Zhuravlev, V.P., Klimov, D.M. & Plotnikov, P.K. Usage of Computer Mechanics in the Theory of Inertial Navigation Systems. Mech. Solids 54, 400–411 (2019). https://doi.org/10.3103/S0025654419020031
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DOI: https://doi.org/10.3103/S0025654419020031