Simulation of the relationship between input factors and output indicators of the internal grinding process, considering the mutual vibrations of the tool and the workpiece

OBRABOTKAMETALLOV technology Vol. 25 No. 1 2023 6) The distance from the deepest valley to the midline of the profile: 6 6 2 2 6 2 25.53 10 11.79 10 6.87 10 2 2 f m t r W - - ω - - D ⋅ - ⋅ = = = ⋅ , m. Compare the values Wm2 and Drω2, 2 2 m W rω ≤ D , 6.87 × 10–6 ≤ 11.79 · 10–6, therefore, in the same way as in the previous revolution, we calculate the value of the arithmetic mean length of the profile Ra, m: 0.4 0.6 2 0.4 0.4 0.2 0.2 0.4 6 0.6 6 0.4 0.4 6 2 6 2 0.25 ( ) 0.25 0.25 (25.53 10 ) 1.438 10 . 0.85 (0.25 35) (15.866 10 ) 0.1 (7.31 10 ) u f a c u k g e g V t R K V V n D - - - = = + r ⋅ ⋅ = = ⋅ + ⋅ ⋅ ⋅ For subsequent revolutions of the embedding stage and the steady-state processing mode (Sy = const), the balance of the system is calculated according to the above methodology. No feed mode. There is no transverse feed at this stage Sy = 0 and preload N = 0 [15]. But due to elastic deformations, the grains still cutting-in and, consequently, the metal is being removed tfs > 0. The first turn. 1) The amount of preload and transverse feed is: .1 0 0 0 N À S N D = + = + = , m. 2) Tool wear is: 6 7 .1 _ . 0,1 0.1 35.52 10 35.52 10 N f St R t - - D = ⋅ = ⋅ ⋅ = ⋅ , m. 3) Increment of elastic deformations is: 9 _ .1 _ .10 _ .9 ( ) 30 10 (6.257 6.257) 0 y St TS y TS y St y St A P P P - D = ω ⋅ D = ω ⋅ - = ⋅ ⋅ - = , m. 4) Increment of the micro-cutting depth is: 7 6 6 _ .1 .1 _ .1 .1 _ .10 0 0 35.52 10 18.52 10 14.97 10 f y N St t A A R r - - - ω D = D - D + D - D = - + ⋅ - ⋅ = - ⋅ N N St , m. 5) The depth of micro-cutting is determined as: 6 6 6 _ .1 _ . _ .1 35.52 10 14.97 10 20.55 10 f N f St f N t t t - - - = + D = ⋅ - ⋅ = ⋅ , m. 6) Radial material removal is: _ .1 6 2 6 0.4 6 12 6 6 (20.55 10 ) 8.867 10 7 13 0.25 20.55 10 0.25 10 15 3 0.85(35 0.25)15.866 10 0.1 7.31 10 N r - - ω - - - ⋅ D = = ⋅ p p ⋅ + + ⋅ + ⋅ ⋅ ⋅ , m 7) The thickness of the layer, in which the roughness is located, is equal to: _ .1 6 6 6 .1 _ .1 20.55 10 8.867 10 11.68 10 N N f N H t r - - - ω = - D = ⋅ - ⋅ = ⋅ , m.

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