ФОРМУВАННЯ КРИВОЛІНІЙНИХ ПОВЕРХОНЬ У СИСТЕМІ MATLAB

Abstract

This article considers the formation of curved surfaces of the MATLAB system for processing helical curved surfaces in weapons and military equipment. Let us study the general equation of a helical surface, where the generatrix of the helical surface is given by a certain equation. At a given stage, the parameter is determined progressively as the helical surface moves. We study the formation of curved surfaces in the MATLAB system, associated with determining the characteristics of a curved surface, in conjugate kinematic pairs. The solution of such problems is a certain scientific problem, which is of great importance for the development of weapons and military equipment (WME). In traditionally designed spatial kinematic pairs, the effect of chance prevails, and in the process of work, as a rule, defects occur in the surface treatment of products, which reduces their service life. The solution of this problem will make it possible to shorten the period for repair and design of conjugated curved surfaces of weapons and military equipment and to increase the efficiency of the design and production process. When studying the proposed various methods and methods for designing helical mating surfaces, it was found that the existing methods are not enough in practice in production and have limitations in terms of design requirements. Therefore, for the manufacture of a conjugated kinematic screw pair with technological accuracy, we offer graphic-analytical formation of helical surfaces of various profiles in the MATLAB system. Forming a helical curved surface, a semi-ellipse, a semicircle, a hyperbola are proposed, which are often used in the design of kinematic pairs in military equipment and weapons. The formation of such curvilinear surfaces will allow designing and producing automated with maximum accuracy parts and mechanisms in weapons and military equipment using a subroutine in the MATLAB system. Keywords: curved mating surfaces, characteristics, surface formation, kinematic pairs, military equipment and weapons, MATLAB system.