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For testing anti-meteoroidal protection of spacecraft, it is proposed to use charges that form compact elemants of variable shape. Shape charges, their construction, and the process of functioning are considered. During the operation of such a charge, the explosive throws the metal liner at a distance of several hundred charge diameters. The metal liner is deformed in motion and takes a compact shape. In this case, copper liner of variable thickness were used, the outer and inner surfaces of which are formed by a combination of spherical surfaces. A plane-wave generator with a variable angle of inclination of the detonation wave is considered as an initiation system in the charge. The results of mathematical modeling of the functioning of charges, which determines the effect of charge parameters on the effectiveness of the action, are presented. The efficiency of the charges was determined by the parameters of the compact element - its shape and speed. The paper also evaluated the influence of the angle of inclination of the plane-wave generator on the shape of the element. The dependences of the speed of the element and its elongation on the angle of inclination of the converging detonation wave are obtained. It was found that when the angle of inclination of the converging detonation wave front decreases, the elongation and speed of the compact element increase.

The results of mathematical modeling of the process of forming elongated element from segment charge liners for testing anti-meteoroid protection of spacecraft using numerical methods of continuum mechanics are considered. The paper presents options for improving such charges to increase their effectiveness. Data from computational experiments with various structural parameters of steel segment liners are described. In models with different physical and mechanical properties of the facings, the mechanism of forming an elongated element from the liners with a gradient in the radial direction of plasticity is demonstrated. It is shown that the control of physical and mechanical properties in the liners makes it possible to form filled and aerodynamically stable element. The application of the elastic-plastic deformation model and the fracture criterion in the form of the Smirnov-Alyaev criterion is justified.

For ground-based simulation of the penetration of particles and elements into the body of the spacecraft, it is proposed to use charges that form high-speed elongated aircraft (HSEA) with a variable form. In the course of the operation of such a charge, an explosive agent throws a metal liner for a distance of several hundred charge diameters. The metal segment liner is deformed in the process of throwing and takes the shape of an elongated aircraft. Steel cladding with a degressive and progressive profile was used, the outer and inner surfaces of which are formed by spherical surfaces, as well as a combination of spherical and conical surfaces. The results of the numerical analysis, which determines the influence of the geometrical and physicomechanical parameters of segment cumulative liners (CL), on the effectiveness of the action of the charges that form high-speed elongated aircrafts are presented. The effectiveness of the charges was determined by the characteristics of the formed aircraft — elongation, degree of fullness, and diameter of the tail plane (skirt). Dependencies describing the influence of the of the liner material and the radius of transition of a spherical surface into a conical surface on the elongation of the aircraft and the diameter of the skirt are established. The possible contradictory effect of a transition in the radius of transition of a spherical liners surface into a conical surface on the parameters of the aerodynamic stability of a high-speed elongated aircraft is shown.For ground-based simulation of the penetration of particles and elements into the body of the spacecraft, it is proposed to use charges that form high-speed elongated aircraft (HSEA) with a variable form. In the course of the operation of such a charge, an explosive agent throws a metal liner for a distance of several hundred charge diameters. The metal segment liner is deformed in the process of throwing and takes the shape of an elongated aircraft. Steel cladding with a degressive and progressive profile was used, the outer and inner surfaces of which are formed by spherical surfaces, as well as a combination of spherical and conical surfaces. The results of the numerical analysis, which determines the influence of the geometrical and physicomechanical parameters of segment cumulative liners (CL), on the effectiveness of the action of the charges that form high-speed elongated aircrafts are presented. The effectiveness of the charges was determined by the characteristics of the formed aircraft — elongat...

This paper deals with specifics of mathematical modelling of machining processes using high-speed hydro-abrasive water jet (for cutting, piercing, cleaning) including the case of underwater application. We provide a numerical solution of the two-dimensional axis-symmetrical problem of hole piercing in structures from various materials and propose a mathematical model of this process. The mathematical model is based on the proposed equations of hydro-abrasive suspension state equations and criteria relationships describing the laws of material erosion for the given machined material.