Regulating the deformed metal's fl ow is an important condition for the knurling process. To achieve this, the knurling tool should have a special intake part, where all the main work of plastic deformation would be realized. Depending on the confi guration, the fi ns can be knurled in two ways: either by a radial feed of the tool or an axial feed of a billet (package of billets) or a tool. Using the radial feed method, most types of piece gear parts can be knurled using a more rational radial fl ow of the deformed metal. However, this process is usually characterized by low productivity. The axial knurling method is signifi cantly more productive. In this case, due to the undesirable axial fl ow of the deformed metal, it fl ows to the ends of the billets. As a result, it becomes necessary to introduce additional machining operations and metal waste increases. The article provides an analysis of existing methods of forming fi ns on a cylindrical surface. The authors analyze the advantages and disadvantages of applying the methods in modern conditions, select the most appropriate method, and substantiate the principles of developing tools for cold knurling of fi ns. The purpose of the work was to develop a tool for determining the forces acting in the cold knurling process and study their infl uence on the characteristics of the fi nal products.

Tubular parts with an external finned heat-exchanging surface are usually produced by the laborious method of cutting on lathes. Besides, there is a method for the high-performance manufacturing of fins by cold knurling with ring-cut knurls, which, compared with cutting, reduces labor intensity by two to six times with a significant increase in the operational properties of the product. The disadvantage of the cold knurling method with ring-cut knurls can be unwanted surface defects and deformations of the entire product. Obtaining finned surfaces on ring blanks with high surface quality during knurling requires accurate calculation of the ratio of longitudinal and transverse strains. The most important factors determining the ratio of longitudinal and transverse strains (rolling-out and rolling-off) are the length and width of the contact surface. The need for a quantitative assessment of the parameters of longitudinal and transverse strains determined the purpose of this manuscript. This study aimed to develop a methodology for calculating the contact surface of a knurl with a ring blank (pipe) when knurling with ring-cut knurls. The proposed method for calculating the knurl's contact surface with a tube when knurling with ring-cut knurls allows for estimating the recommended range of pipe sizes for knurling. Based on the dependencies mentioned in the manuscript, the limiting sizes for blank pipes were calculated to ensure high-quality finning. Experiments on cold rolling of ribbing on pipes with different lengths and diameter ratios were carried out, confirming the possibility of using the proposed methodology for calculating the knurl's contact surface with a pipe when knurling heat-exchanging finning with ring-cut knurls.

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