Geometrical Errors of Surfaces Milled with Convex and Concave Profile Tools

Abstract

The geometrical interpretation of the transformation of cylindrical milling of products into profile milling by shaping cutters with a convex and concave cutting profile is considered. A mathematical model of geometric errors of profile surfaces processed with tools with the specified cutting profiles is developed. On the basis of the model and the results of its analysis, scientifically based recommendations for designing a technological operation for profile milling of products have been developed. When processing a product with a contoured cutter with a concave profile, it is recommended to calculate the geometric errors formed in the transverse plane of the shaping cutter, and when machining with a shaping cutter with a convex cutting profile - in the planes of both its ends. The calculated values of the above geometric errors should be compared with the values limited by the work drawing of the product. The implementation of these recommendations will reduce the labor costs for experimental research and control operations associated with ensuring a given geometric accuracy of products.