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 Vol. 25 No. 1 2023 technology 8) The cutting load is: _ .1 3 6 6 6 6 3 2 25 10 15.866 10 7.31 10 10 10 11.68 10 0.1 N y P - - - - = ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ × 6 6 6 8 0.3746 0.055 11.68 10 0.061 7.31 10 10 10 13.33 10 3.902 0.5591 - - -   × ⋅ ⋅ ⋅ + ⋅ ⋅ ⋅ ⋅ ⋅ =     , N. 9) The value of the distance from the deepest valley to the midline of the profile is: _ .1 6 6 _ .1 _ .1 6 20.55 10 8.867 10 5.84 10 2 2 N f N N m t r W - - ω - - D ⋅ - ⋅ = = = ⋅ , m. Compare the values Wm_N.1 and Dr_N.1, _ .1 N m W ≤ _ .1 N rω D , 5.84 × 10–6 < 8.867 × 10–6. Due to the fact that the value of _ .1 N rω D is more than the value of _ .1 N m W , the value of the arithmetic mean length of the profile Ra, m: 0.4 0.6 1 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 (20, 55 10 ) 1.262 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 ⋅ ⋅ ⋅ = = ⋅ + ⋅ ⋅ The modes calculation continues until the value of the specified roughness Ra = 0.81·10 -6 (m) is reached. The calculated data are given in Table 1: Pl. – plunge mode, St. – steady mode, N. – no feed mode. Ta b l e 1 Calculated data No. fi t D fi t i R D 1 i rω - D yi A D i H 1 2 3 4 5 6 7 Pl. 1 14.91·10–6 14.91·10–6 0 0 8.698·10–8 9.069·10–6 Pl. 2 10.62·10–6 25.53·10–6 1.491·10–6 5.884·10–6 2.716·10–8 13.74·10–6 Pl. 3 5.737·10–6 31.27·10–6 2.553·10–6 11.79·10–6 2.413·10–8 15.78·10–6 Pl. 4 2.617·10–6 33.89·10–6 3.127·10–6 15.49·10–6 1.964·10–8 16.56·10–6 Pl. 5 1.05·10–6 34.94·10–6 3.389·10–6 17.32·10–6 1.595·10–8 16.85·10–6 St. 1 0.389·10–6 35.33·10–6 3.494·10–6 18.09·10–6 1.372·10–8 16.95·10–6 St. 2 0.14·10–6 35.47·10–6 3.53·10–6 18.38·10–6 1.267·10–8 16.98·10–8 St. 3 0.05·10–6 35.52·10–6 3.547·10–6 18.49·10–6 1.225·10–8 16.99·10–6 N.1 -14.97·10–6 20.55·10–6 3.552·10–6 18.52·10–6 0 11.68·10–6 N.2 -6.88·10–6 13.66·10–6 2.055·10–6 8.867·10–6 7.062·10–8 8.451·10–6 N.3 -3.88·10–6 9.78·10–6 1.366·10–6 5.211·10–6 3.737·10–8 6.437·10–6 3.343·10–6

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