Substantiation of diamond bead shapes for wire sawing machines

The article substantiates the shapes of diamond beads for wire sawing machines and discusses the forces in the diamond beaded wire saws using the method of vertical displacement of a rotated and shifted parabola for the strength analysis of working members of a sawing machine. The proposed coefficient of change in the normal pressure force is defined as a ratio of the normal-wise distance between the initial and shifted parabolas to the maximal pressure value. Using the current values of the proposed coefficient, the cutting force is determined as function of the coordinates of a stone block being sawed. The method is developed for the vertical displacement of a rotated and shifted parabola, which allows finding the change of the cutting force versus the coordinates of a stone block being sawed at different values of the parabola chord. It is found that with respect to the criteria of strength, diamond bead entry in the cut and movement stability of the bead along the cutting line, the highest strength of the diamond beads is achieved with the beads of the barrel, two-wedge and tapered shapes, and with the cylindrical beads with ellipsoid heel.