№81-18

Software implementation of algorithmic model calculation of chips angles

V. Derbaba¹, O. Voichyshen¹

¹Dnipro University of Technology, Dnipro, Ukraine

Coll.res.pap.nat.min.univ. 2025, 81:177–187

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ABSTRACT

Purpose. To develop a methodology for graph-analytical calculation of the ratio of chip formation angles for the case when the initial data are reliable empirical dependencies for the components of the cutting force and experimentally determined shear angles.

Methods. The study is based on the use of analytical and probabilistic methods to calculate the outer friction-sliding angle, the inner friction-shear angle, and the angle of inclination of the shear plane using empirical formulas based on the components of the cutting force at a sharp blade and a constant value of the friction-shear coefficient, which adequately corresponds to the values of the most common formula based on the chip thickening coefficient.

Findings. An algorithmic model for determining the ratio of shear angles, external friction-sliding of chips on the front surface of the blade, internal friction-shear in the shear plane, and the front angle of the blade has been developed. For the most common steel grades in industrial production, the internal friction-shear angle is characterized by relative stability depending on the cutting speed. Therefore, a constant value of the shear angle can be used as a first approximation in the engineering analysis of the chip formation process.

The originality. For the first time, the software implementation of the algorithmic model was implemented in the NI LabVIEW environment and graphically analyzed in the Autodesk Inventor program. The parametric interaction of chip formation angles was studied and established. Functional dependences of the cutting force components on the operating and geometric parameters of the cutting process were developed, the constancy of the friction-shear coefficient in the shear plane was established, and a new formula for determining the shear angle was derived.

Practical implementation. The use of an empirical formula for calculating the shear angle eliminates the experimental determination of the chip thickening coefficient, and due to the method of "reverse" calculation of the components of the cutting force with a sharp blade, it eliminates the laborious dynamometry of the components of the cutting force in each case and for individual groups of machining materials.

Keywords: metalworking, chip formation, external friction-sliding angle, internal friction-shear angle, angle of inclination of the shear plane, cutting force, friction-shear coefficient, cutting speed, leading angle.

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