Abstract

In modern systems for the automatic design of complex products for military equipment, algorithmic construction of conjugate models of curved surfaces using computer technologies that exclude interference are increasingly being used. This gives a powerful impetus to the development of applied geometry of surfaces and stimulates the search for new ways to improve the technological processes of manufacturing parts, on machines with an information control system. In particular, this applies to technological operations on numerically controlled machines. One of the main directions in modeling kinematic pairs should be considered the study and design of the shapes of surfaces in close connection with the operating conditions of structures in military equipment and weapons in which they are to be used. The shapes of complex curved surfaces affect the reliability and durability of mechanisms in military equipment and weapons and therefore require more careful consideration of external conditions when designing. Much attention is paid to the design of surfaces, taking into account an increasing number of predetermined requirements, conditions for the formation of curved surfaces of kinematic pairs in military equipment. The use of algorithmic constructions of conjugated kinematic pairs for an information control system in the manufacture of real surfaces of military equipment obtained as a result of stamping, the creation of a geometric model of stamping, reflecting a real physical process, is an urgent problem. In recent years, in the manufacture of precision high-quality products of kinematic pairs and cutting tools in military equipment and weapons, complex curved surfaces have been widely used, which require the development of a geometric and mathematical apparatus for their modeling. Algorithmic modeling of curvilinear transformations for the formation of mating surfaces of kinematic pairs in military equipment, based on a parametric kinematic screw, is proposed, which will eliminate interference during their manufacture.

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