16 Automatic Geometric Calculations
16.3.3 Circular-linear Intersection
If a linear block is given after a circular block in a way that the straight line is defined over, i.e., both its end point coordinate and the angle are specified, then the control calculates intersection between the circle and the straight line. The calculated intersection is the end point of the first block, as well as the start point of the second one.
G17 G41 (G42) | G18 G41 (G42) | G19 G41 (G42) |
N1 G2 (G3) X1 Y1 I J | N1 G2 (G3) X1 Z1 I K | N1 G2 (G3) Y1 Z1 J K |
or R | or R | or R |
N2 G1 G90 X2 Y2 ,A Q | N2 G1 G90 X2 Z2 ,A Q | N2 G1 G90 Y2 Z2 ,A Q |
Fig. |
Fig. |
The intersection is always calculated in the plane selected by G17, G18, G19. The first block (N1), i.e., the circle is specified with an optional point (X1, Y1; X1, Z1; or Y1, Z1) and its center point coordinates (I J; I K; or J K) or instead of the center point coordinates with its radius (R). In the second block (N2) the straight line is determined over, i.e., both the end point coordinates (X2 Y2; X2 Z2; or Y2 Z2) and the angle (,A) of the straight line are given. The end point coordinates of the straight line are always interpreted by the control as absolute data (G90). It is always the vector angle of the straight line pointing from the resulting intersection at the given end point to be specified at address ,A, otherwise movements contrary to programmer’s needs occur. Of the two resulting intersections the one to be calculated by the control can be specified at address Q.
If the address value is less than zero (Q<0, e.g.,
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