3次元切削機構に関する研究(第1報)

傾斜切削プロセスの理解とベクトルによる定式化

抄録

Mechanics of oblique cutting are discussed in the present paper in order to understand the basics of the practical three dimensional cutting processes such as turning, drilling and milling. Misconception of the effective rake angle, which has been widely accepted for many years, is pointed out, and a simple way of understanding the basic oblique cutting process is introduced. Furthermore, the oblique cutting process is newly formulated with vector equations by employing the thin shear plane model in order to easily understand and quickly simulate the process and to model more complicated three dimensional cutting processes in the future. Two equations among three unknown vectors, which show the directions of shear, chip flow and resultant cutting force, are derived from the geometric relations of velocities and forces. The last equation required to solve the three unknown vectors is obtained by applying either the maximum shear stress or the minimum energy principle. It is shown that the directions and the cutting forces simulated by solving the proposed vector equations are in good agreement with the published experimental data, and that well known empirical rules on the oblique cutting process, e.g. Stabler's chip flow rule, can be explained without any calculation by utilizing the proposed analytical model.