Modeling the interrelation of the cutting force with the cutting depth and the volumes of the metal being removed by single grains in flat grinding

OBRABOTKAMETALLOV Vol. 25 No. 4 2023 technology Fig. 2. Flat grinding (a), a cutoff with a single grain, diagram of stresses and force components (b) – view A in fig. 1, a: 1 – grinding wheel; 2 — total volume of chips being removed (shown conditionally); 3 – chips being removed by a single grain; 4 – grain trace; 5 – workpiece; 6 – machined surface; 7 – magnetic table; 8 – stock; 9 – surface being machined; 10 – bond; 11 – pore; 12 – real abrasive grain; 13 – chips cut by a single grain; 14 – ideal abrasive grain а b Then, formula (4) will be written as: = σe β  1 . sin s j j a mb N (6) The plastic deformation of the metal volume ωj in the shear zone results from the action of the tangential component of the cutting force PZSj of an absolutely sharp grain. Therefore, deformation power Nj is equal to the power of the force PZSj. We will use the scheme of a cutoff made by a conditionally sharp grain (Fig. 2, b) to express the power Nj:

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