Abstract
Abstract. In today's conditions, there is a need to find new and effective ways (means) to protect armored vehicles and increase their protection against modern means of destruction, as evidenced by the analysis of the damage received by armored vehicles during the repulsion of armed aggression against Ukraine.
 Various methods and means of additional protection always require practical verification of their feasibility.
 The purpose of this article is to present the main approaches to assessing the level of stability of an armored obstacle with additional armor and to build a mathematical model of the impact of 12.7 mm kinetic munitions on an armored obstacle with additional armor based on experimental data.
 To assess the relative properties of the armor barrier to the destructive energy of the munitions, the experimental-statistical method of mathematical modeling of the process of influence of the energy of the munitions on the armor barrier of armored vehicles was used, in which the experiment is considered as the main source of information about the process, and the methods of probability theory and mathematical statistics are the main means of processing the results of the experiment.
 The experimental study allowed to check the resistance of the armored barrier with additional armor to ammunition of 12.7 mm caliber, which destroys it under the action of kinetic energy.
 As a result of a multifactorial experiment, experimental data were obtained. Using the experimental data, a mathematical model of the impact of 12.7 mm kinetic ammunition on an armored obstacle with additional armor was built, which takes into account the angle of the meeting of the munition with the armored obstacle, the distance from the armored obstacle to the additional armor, the thickness of the additional armor. This mathematical model can be used to find the optimal additional armor of armored vehicles, taking into account the angle of inclination, the distance of additional armor to the main armor and the thickness of additional armor.
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