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MECHANICS
Development of the approaches for solving an inverse problem of external ballistics in various application conditions
S. A. Koroleva, A. M. Lipanovba, I. G. Rusyakca, V. A. Teneneva a Kalashnikov Izhevsk State Technical University, Izhevsk, Russian Federation
b Keldysh Institute of Applied Mathematics Russian Academy of
Sciences, Moscow, Russian Federation
c Russian Academy of Missile and Artillery Sciences, Moscow, Russian Federation
Abstract:
The article proposes two approaches for solving an inverse problem of external ballistics. The first approach is based on the iterative method of successive approximations, and allows obtaining the solution to inverse problem with a stated accuracy for any shooting conditions. Simultaneous determining of the angles and direction of shooting makes it possible to reduce a total time of solving the inverse problem. The second approach, which is based on the pre-built approximators for assigned range of variation in the shooting conditions, can significantly simplify and speed up the algorithm for solving the inverse problem of external ballistics. Several types of approximators have been considered: linear approximator, multilayered neural network, radial neural network, and the method of fuzzy decision trees. The best results on the computational accuracy and speed were achieved using the approximator based on a multilayered neural network.
Keywords:
external ballistics, inverse problem, iterative algorithm, approximator, neural network.
Received: 01.06.2018
Citation:
S. A. Korolev, A. M. Lipanov, I. G. Rusyak, V. A. Tenenev, “Development of the approaches for solving an inverse problem of external ballistics in various application conditions”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2019, no. 57, 76–83
Linking options:
https://www.mathnet.ru/eng/vtgu691 https://www.mathnet.ru/eng/vtgu/y2019/i57/p76
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Abstract page: | 258 | Full-text PDF : | 192 | References: | 30 |
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