Tool profile stationarity while simulating surface plastic deformation by rolling as a process of flat periodically reproducible deformation

OBRABOTKAMETALLOV MATERIAL SCIENCE Том 20 № 3 2018 EQUIPMEN . INSTRUM TS Vol. 3 No. 2 2021 Fig. 6. The intersection lines of the roller surface and the strain plane while this plane is rotated Ta b l e 1 Coordinates of the intersection lines points in the global coordinate system, mm a = 0° a = 2° a = 4° a = 6° x y z x y z x y z x y z 0 .00 14.00 3.61 0.73 13. 99 3.57 1.47 13.97 3.47 2.22 13.92 3.30 0 .00 14.10 3.43 0.73 14 .09 3.40 1.46 14.07 3.30 2.20 14.02 3.11 0 .00 14.20 3.25 0.73 14 .19 3.21 1.46 14.17 3.10 2.19 14.12 2.91 0 .00 14.30 3.05 0.72 14. 29 3.01 1.45 14.27 2.90 2.18 14.22 2.69 0 .00 14.40 2.84 0.72 14 .39 2.79 1.44 14.36 2.67 2.17 14.32 2.44 0 .00 14.50 2.60 0.72 14 .49 2.55 1.44 14.46 2.41 2.16 14.42 2.16 0 .00 14.60 2.33 0.71 14 .59 2.28 1.43 14.56 2.13 2.15 14.52 1.83 0 .00 14.70 2.03 0.71 14 .69 1.97 1.42 14.66 1.79 2.14 14.62 1.42 0 .00 14.80 1.66 0.71 14. 79 1.59 1.42 14.76 1.36 2.13 14.72 0.82 0 .00 14.90 1.18 0.70 14 .89 1.08 1.41 14.86 0.69 2.13 14.74 0.64 0 .00 15.00 0.00 0.70 14 .97 0 .00 1.41 14.90 0.00 2.13 14.77 0.00 The value of the deformation angle j d in this case is 12°, which is obviously greater than the actual val- ues of j d during processing. Further, the coordinates of the points of the intersection lines were converted into the coordinate system of the deformation plane according to formulas (10)–(12) and reduced to the common coordinate y cp for the upper point of the intersection line (Table 2). The intersection lines for the angles of inclination of the plane of deformation 0 ° and 6 ° are shown in Fig. 7.