Розглянуто математичну модель визначення бойового функціонування блочної загороджувальної перешкоди із міцних матеріалів, яка використовується на блок-постах і контрольно-перепускних пунктах, підрозділів, що займають оборону в районах ведення бойових дій. Математична модель, на відміну від існуючих, враховує ймовірність виходу з ладу вогневих засобів противника внаслідок ураження під час зустрічного вогневого впливу підрозділами, що обороняються і використовують блочні загороджувальні перешкоди, та ймовірність відновлення боєздатного стану вогневих засобів противника. Запропонована математична модель ґрунтується на використанні напівмарківських процесів.

During the Joint Forces (anti-terrorist operation) operation in Donetsk and Luhansk oblasts, civilians and the Armed Forces suffered significanted losses. As a result, we have needed to study impact various weapons on structure roof of buildings which built of different materials to improve protective properties is becoming relevant. Therefore, in modern conditions, design of structures and their elements is not possible without taking into account impact of shells. When designing and constructing structures, it is always necessary to take into account resistance of structural elements to impact of damaging factors, both explosion in general and destructive explosion in particular, which will help avoid future possible human losses. The article presents model of calculation shell penetration into soil thickness covered shelter, consisting of scattering, mattress, distribution layer, load-bearing structure and impact of shells, mines and air bombs to penetrate the thickness of closed structures. The purpose article is to highlight main provisions scientific and methodological approach to calculation multilayer underground protective structures and studies impact of projectiles on multilayer underground protective structure. Our research shows that to determine protective thickness mattress of structure, during penetration of ammunition, first of all, should take into account resistance to scattering, and to determine thickness distribution layer resistance of mattress. Depth of penetration projectile into thickness floor structure will depend on: mass, diameter, shape of main part projectile, as well speed and angle at meeting of projectile with the floor structure.

The article deals with the solution of a scientific and applied problem to study the possibility of using existing exponential models to determine the reliability indicators of engineering weapons. Exponential models are widely used to assess the reliability of objects, mainly consisting of radio electronic elements, which led to their mass distribution in the aviation industry, air defense facilities, etc. Experimental operation of typical samples of military road-building equipment and experimental studies of the operating time of the main blocks and assemblies of engineering weapons show that the rate of failure and restoration of these products are functions of time. This state of affairs is associated with the design features of engineering weapons, which are characterized by the complex use of electrical, mechanical, hydraulic and other systems, while during use these systems can often experience significant overloads. At the same time, it should be borne in mind that today the engineering weapons that are in the units generally have a service life longer than that guaranteed by the manufacturer, which significantly affects the parameters of failure rates and recovery. The article shows the procedure for obtaining expressions for calculating the main indicators of the reliability of complex technical systems with an exponential distribution of operating time to failure and their recovery time and it is allowed to use them only for minimal periods of time (from several hours to several days, depending on the intensity of the use of machines) due to for the non-ergodic nature of the process of failures and restorations. In addition, the use of these models should be accompanied by an assessment of the adequacy of the results obtained to the real process with the adjustment of the duration of the corresponding time intervals. Thus, the construction of mathematical models of the technical state of engineering equipment will be accompanied by a search for other conceptual approaches to determining the reliability indicators of engineering equipment and methods for calculating these indicators.

With the beginning of the aggression of the russian federation against Ukraine in 2014, the territory of our country began to become a leader among the replaced countries of the world. The situation escalated with the beginning of the full-scale invasion of the russian federation in February 2022, and today’s Ukraine has become the country that is the most complicated in terms of explosive devices in the world. The enemy has been ignoring the requirements of international treaties and conventions regarding the prohibition of the use of certain types of mine weapons and uses the entire range of engineering ammunition available to him. One mine weapon is a major hazard from unexploded ordnance. In addition, during hostilities, one of the most difficult tasks is to provide military reconnaissance of the area for the presence of explosive objects, demining the area and passing through the changing fields of the enemy during the offensive. For the performance of these tasks, the staff structure of the engineering troops provides for appropriate units that are equipped with both equipment and hand-held reconnaissance and demining equipment. The protest and experience of the use of engineering units of the Defense Forces shows that the mentioned equipment, reconnaissance and demining are outdated, have low efficiency and do not meet the requirements for performing tasks of this type. At the same time, due to moral obsolescence and unsatisfactory state of means of exploration and mechanization, the manual method remains the main way of making passages in variable-explosive barriers. This method is extremely dangerous and contagious to the point of losing personnel. In order to eliminate (mitigate) the mentioned problems, research is being conducted on the development of modern perspective demining complexes, both manual and remote-control. There are questions about their evaluation according to the level of technical excellence and efficiency during research. The article offers one of the options for a partial method of comparative assessment of the level of technical perfection of samples of demining means (complexes) using methods of simulation modeling and a progressive standard. Assessment of the degree of compliance of alternatives to demining complexes is carried out by comparing them with a standard for which there is no state standard, and general requirements or quantitative indicators. Determining compliance with the requirements consists in comparing the comprehensive indicator of the evaluated alternatives of the demining complex with the comprehensive basic indicator.

With the beginning of the undeclared war of the russian federation against Ukraine in 2014, and the subsequent large-scale invasion in February 2022, the issue of reconnaissance and demining of the area from explosive devices both during the conduct of hostilities and in the absence of them became very acute. The experience of the war shows that the enemy, despite international conventions on the prohibition of certain types of mine weapons, uses its entire available arsenal of mines and improvised explosive devices, which are often set to non-removable. The analysis of the execution of such tasks by units of the Armed Forces of Ukraine shows that the reconnaissance and demining equipment in their arsenal is outdated and does not meet today’s requirements, and the main method of reconnaissance and demining is manual, which is extremely dangerous for the lives of personnel. To date, many leading countries of the world have developed and use remote reconnaissance and demining tools. However, they are expensive and have certain drawbacks. To solve this problem, research is being conducted on the creation of a domestic remote-controlled demining complex. In addition to theoretical provisions, one of its important stages is conducting an experimental study. In the article, on the basis of previously developed analytical provisions, the methodology of experimental studies of the indicators of the effectiveness of remote-controlled demining complexes is proposed. The specified technique involves conducting both a unilabiate and a multivariate experiment.