The effect of the relative vibrations of the abrasive tool and the workpiece on the probability of material removing during finishing grinding

OBRABOTKAMETALLOV Vol. 23 No. 3 2021 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 4 1 2 Ta b l e 2 Relative error of calculations Experimental (actual) values Relative error experiment( 100 %, % , ) A A a y z    experiment( , ) a y z cm( , ) a y z ( , ) a y z 0.392 96.4 28.06 0.313 91.05 9.9 0.264 94.6 6.82 0.4 96.5 29.5 0.305 95.4 7.54 The obtained calculations show that the probability of removing at values 0.2 f A t  , 0.8 2 y L z  , 4 3.397 10 m y L    , 6 10.38 10 y m    , 6 11,54 10 m f t    , 628 rad/s   , = 100 Hz  is 0.424. This means that 42 % of the material will be removed and 58 % of the processed material will stay on the surface in the form of microroughness. For other levels and values of oscillation frequencies of the considered example, the calculated data on the probability of material removing are shown in Fig. 2 and 3 and in table 3. Fig. 2. Change in the probability of material removing along the contact zone from the value of relative vibrations during internal grinding Fig. 3. Change in the probability of material removing along the contact zone from the level of grain penetration in the workpiece material during internal grinding at a relative vibration value of 100 Hz

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