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Aim. Developing an approach for determining the modes of jet treatment for the curved surfaces of products to ensure uniform processing, which is achieved by maintaining a constant distance from the nozzle end to the surface and maintaining the perpendicularity of the nozzle axis to the curved surface at the point of processing during movement and changing the nozzle inclination. Method. The basic principles of analytical geometry on the plane are used to describe the processed curved surface.

This article presents an analysis of scientific research in the field of engineering support given values of detail’s endurance limit. Direct correlation between the modes of mechanical cutting, the quality of the surface layer and the endurance limit details were established. The urgency of creating science-based methods use the best mode of machining to ensure the required values of the detail’s endurance limit is shown. It has been developed a mathematical model of endurance limit, which depends on the mode processing and the characteristics of the material.