OBRABOTKAMETALLOV Vol. 24 No. 2 2022 TECHNOLOGY reconstruction and the implemented measuring device ensure the accuracy of the shape of the technological drum riding rings directly during the technological rotation of the units. When developing the machining route, the possibility of correcting the accuracy of the surface shape to specifi ed values according to industry standards was investigated, i.e. the deviation of the real profi le of the entire surface from the cylinder inscribed in it, 3.05 specified TFZ mm, using a belt-abrasive method and minimizing the machining allowance (removing the allowance to the dimensions of the inscribed cylinder). Mathematical models for machining technology and machining simulation Calculation of the motion trajectory of an independent support copying device (hereinafter referred to as ISCD) The algorithm for the calculation of the ISCD position during its movement along the contour of the base section looks as follows (Fig. 2): – the axis of the fi rst support roller of the ISCD (point Pro1) is aligned with nEK point of the previously obtained equidistant; – the position of the second support roller of the ISCD (point Pro2) is calculated at the equidistance; – the rotation angle of the local coordinate system of the ISCD LCSISCD relative to BCS general is calculated; – the equation of the straight line passing through the point of the tip of the cutting tool parallel to the plane of its movement is determined; – the algorithm is repeated for all equidistant points. To fi nd the rotation angle of the ISCD local coordinate system (LCSISCD, Fig. 2) there is a need to determine the position of point Pro2 for each position in BCS general. Formulas for calculating the rotation angle of LCSISCD relative to BCS general (1–6) for the m-position of the ISCD with known coordinates of points Pro1 and Pro2: 2 _ 1 _ 2 _ 1 _ arctg Ppo m Ppo m m Ppo m Ppo m y y x x , at 2 _ 1 _ 0 Ppo m Ppo m x x (1) Fig. 1. Virtual model of the riding ring and the virtual models of the measuring device and the processing module installed for processing: 1 – model of the riding ring; 2 – measuring device; 3 – processing module
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