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No 3 (2021) Technical mechanics
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5
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UDC 623.467.56
Technical mechanics, 2021, 3, 37 - 47
DETERMINATION OF THE EFFICIENCY OF A MULTIPLE LAUNCH ROCKET SYSTEM
DOI:
https://doi.org/10.15407/itm2021.03.037
Hladkyi E.1, Zavoloka O.2
Hladkyi E.
1Yuzhnoye State Design Office
Zavoloka O.
2Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine
Up-to-date multiple launch rocket systems (MLRSs) are adopted by many countries of the world, and they
are an effective weapon against dispersed multiple targets. Developing and upgrading MLRSs calls for
estimating their efficiency with the aim to select an optimum alternative. For an MLRS, the basic
measure of area target destruction efficiency is the relative damage area. This measure depends on
the damage area of the MLRS itself (extent of damage by one salvo).
The paper suggests a relative criterion that allow one to estimate and optimize the salvo damage area.
The criterion is based on the ratio of the salvo damage area to the maximum damage area and that of
the undamaged area to the coverage area. The coverage area is defined as the area of the enveloping
convex polygon for all points of missile impact in a salvo. It is shown that the domain of variation
of the suggested criterion is the interval [0, 1].
Using the suggested criterion for 4 points of missile impact with a circular damage area, two basic
structures are studied: a rhomb (two regular triangles) and a square. For them, optimum distances
between the missile impact points that maximize the destruction level are determined. It is shown
that the obtained optimum arrangement of missile impact points allows one to bring the extent of
damage for the square structure to the more optimum rhomb layout (represents a part of the hexagonal
structure, which is the most efficient from the standpoint of the packing problem). For a 16-missile
salvo, it is shown that from the standpoint of the suggested criterion there exists an optimum
relation between the missile damage area (radius) and the technical scattering parameters.
The maximum value of the criterion for a missile salvo with account for the technical spread does
not exceed 0.33 and is much lower than the value that can be obtained for the optimum structures
(rhomb and square).
The paper shows possibilities of using the criterion in deciding on optimum missile impact points
with account for various typical targets within a multiple target and missile damage area
configurations other than a circle.
multiple launch rocket system, efficiency, salvo damage area, coverage area
1. Balagansky I. A., Merzhievsky L. A. Action of Destruction Means and Munitions. Novosibirsk: Novosibirsk State Technical University, 2004. 408 pp. (in Russian).
2. Melikov A. V. Simulation model of MLRS subunit firing efficiency estimation. Kibernetika I Programmirovaniye. 2014. No. 3. Pp. 91-102. (in Russian).
3. Efficiency Estimation of Firing Damage by Missiles and Artillery. A. A. Bobrikov (Ed.). Saint Petersburg: Galeya Print, 2006. 424 pp. (in Russian).
4. Fendrikov N. M., Yakovlev V. I. Weapon Combat Efficiency Calculation Methods. Moscow: Voenizdat, 1971. 224 pp. (in Russian)
5. Circle packing. URL: https://en.wikipedia.org/wiki/Circle_packing (last accessed on April 15, 2021)
Copyright (©) 2021 Hladkyi E.1, Zavoloka O.2
Copyright © 2014-2021 Technical mechanics
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