Influence of the shape of the toroidal flank surface on the cutting wedge angles and mechanical stresses along the drill cutting edge

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Abstract

Introduction. Drilling holes with standard tolerance varying from IT8 to IT12 is widely used in industrial production. However, at present time, there are neither comprehensive studies, nor scientifically justified recommendations for the rational choice of the geometry of the cutting part of drills with a toroidal flank surface. Therefore, the computer-aided design (CAD) of new drill designs with a toroidal flank surface and finite element modeling (FEM) of the stressed state of its cutting part are important tasks. The purpose of the work is reducing both the range of change in the rake angle and the wedge angle of the cutting wedge along the cutting edge from the periphery to the center and the equivalent stresses in the cutting wedge. In this paper we investigate changes in the rake and wedge angles of the cutting wedge depending on the radius of the generatrix line of the toroidal flank surface as well as changes in equivalent stresses in the cutting wedge, which depend on changes in the radius of the generatrix line of the toroidal flank surface. The research methods include the fundamentals of the theory of cutting, CAD methods, and the FEM, which was applied in this work to new drill designs. Results and discussion. It is found that the range of changes in the rake angle and the wedge angle of the cutting wedge of the drill decreases compared to the standard design with decreasing radius of the generatrix line of the flank surface. A CAD system for drills with a toroidal flank surface is developed. As a result, the range of changes in the rake angle along the cutting edge decreased by 86 % for a drill with a minimum radius of the generatrix line of the toroidal surface compared to that with the conical flank surface, the range of the wedge angle of the cutting wedge decreased by 56 %, and the maximum equivalent stresses decreased by 2.13 times. It is also important to note that in this case, the wedge angle is close to constant for half of the drill tooth. These indicators exceed those for existing designs of the twist drills that indicate the key achievement of this paper.

About the authors

P. M. Pivkin

Email: pmpivkin@gmail.com
Ph.D. (Engineering), Moscow State University of Technology "STANKIN", 3a Vadkovski Lane., Moscow, 127055, Russian Federation, pmpivkin@gmail.com

A. A. Ershov

Email: a.ershov@stankin.ru
Moscow State University of Technology "STANKIN", 3a Vadkovski Lane., Moscow, 127055, Russian Federation, a.ershov@stankin.ru

N. E. Mironov

Email: dzr1380im@gmail.com
Moscow State University of Technology "STANKIN", 3a Vadkovski Lane., Moscow, 127055, Russian Federation, dzr1380im@gmail.com

A. B. Nadykto

Email: a.nadykto@stankin.ru
D.Sc. (Physics and Mathematics), Professor, Moscow State University of Technology "STANKIN", 3a Vadkovski Lane., Moscow, 127055, Russian Federation, a.nadykto@stankin.ru

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