Resumen
This paper reports a technique for constructing a geometric shape of the surface of contact between the interacting conjugated machine elements using computer technology. A subprogram has been developed in the MATLAB software package.The comprehensive solution to such problems is a certain scientific challenge and is of great importance when designing the kinematic pairs in mechanical engineering. The main systemic drawback in the construction of complex mechanisms is that the design process does not take into consideration the geometric characteristics of the contact spatial engagement surface in the screw kinematic pairs. As a result, during the manufacture of a kinematic pair, conventionally designed structural elements demonstrate defects that shorten their lifespan. Solving the set task could reduce the time to design toothing, cutting tools, would ensure the required estimation and graphic accuracy, as well as improve the efficiency of the manufacture of parts.The study of existing procedures for designing screw conjugated surfaces has made it possible to note their unsatisfactory compliance with modern design requirements. Therefore, the manufacture of a kinematic pair that provides for technological accuracy implies the assignment of the curvilinear shapes for a contact spatial engagement surface under the predefined conditions.The proposed geometric technique for determining the shape of a contact spatial surface of the kinematic pairs of toothing and cutting tools could make it possible to design and manufacture components and mechanisms with the required accuracy