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 3) Calculate the value of the radial removal of the material at the current turn: 6 2 6 2 0.4 6 12 6 6 (19.91 10 ) 8.513 10 7 13 0.25 19.91 10 0.24 10 15 3 0.85(35 0.25)15.866 10 0.1 7.31 10 r - - ω - - - ⋅ D = = ⋅ p p ⋅ + + ⋅ + ⋅ ⋅ ⋅ , m. 4) Calculate the thickness of the layer, in which the roughness is located: 6 6 6 2 2 2 19, 91 10 8, 513 10 11, 4 10 f H t r - - - ω = - D = ⋅ - ⋅ = ⋅ , m. 5) The cutting load at the current speed is equal to: 3 6 6 6 6 2 3 2 25 10 15.866 10 7.31 10 10 10 11.4 10 0.1 y P - - - - = ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ × 6 6 6 8 0.3746 0.055 11.4 10 0.061 7.31 10 10 10 13.33 10 3.789 0.5591 - - -   × ⋅ ⋅ ⋅ + ⋅ ⋅ ⋅ ⋅ ⋅ =     , N. 6) More precise definition of the values of 2 f t D , 2 r D , 2 y P D . Increment of elastic deformations is: 9 8 2 2 1 ( ) 30 10 (3.789 2.884) 2.716 10 y TS y TS y y A P P P - - D = ω ⋅ D = ω ⋅ - = ⋅ ⋅ - = ⋅ , m. Tool wear at the current revolution can be calculated by the equation: 1 0.1 i fi R t - D = ⋅ , (9) After substituting the values into equation (9) we have: 6 7 2 1 0.1 0.1 14.91 10 14.91 10 f R t - - D = ⋅ = ⋅ ⋅ = ⋅ , m. From equation (1) we determine the increment of the depth of micro-cutting: 6 8 7 6 6 2 2 2 2 1 15 10 2.716 10 14.91 10 5.844 10 10.62 10 f y t A A R r - - - - - ω D = D - D + D - D = ⋅ - ⋅ + ⋅ - ⋅ = ⋅ , m Calculate the value of the depth of micro-cutting: 6 6 6 2 1 2 14.91 10 10.62 10 25.53 10 f f f t t t - - - = + D = ⋅ + ⋅ = ⋅ , m Radial material removal: 6 2 6 2 0.4 6 12 6 6 (25.53 10 ) 11.79 10 7 13 0.25 25.53 10 0.28 10 15 3 0.85(35 0.25)15.866 10 0.1 7.31 10 r - - ω - - - ⋅ D = = ⋅ p p ⋅ + + ⋅ + ⋅ ⋅ ⋅ , m. The thickness of the layer, in which the roughness is located, is equal to: 6 6 6 2 2 2 25.53 10 11.79 10 13.74 10 f H t r - - - ω = - D = ⋅ - ⋅ = ⋅ , m The cutting load is: 3 6 6 6 6 2 3 2 25 10 15.866 10 7.31 10 10 10 13.74 10 0.1 y P - - - - = ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ × 6 6 6 8 0.3746 0.055 13.74 10 0.061 7.31 10 10 10 13.33 10 4.774 0.5591 - - -   × ⋅ ⋅ ⋅ + ⋅ ⋅ ⋅ ⋅ =     , N.

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