Circle interpolationformula

Alternatively, circles can also be programmed through radius specification. This is possible by G163=" " or also using the address character R=" value of radius". Also, the definition through R1=" value of radius" is possible with identical results (see also chapters 4.19 - 4.21)

Circularinterpolationprogram example

When G02 (clockwise circle, CW) or G03 (counter-clockwise circle, CCW) is selected, the programmed path is traversed with a feed rate given by the F-word, on a circular movement to the target position. Circular movements can be run in the three main planes of the spatial coordinate system (X-Y, Z-X, Y-Z). The selection of the main plane is done using the functions G17, G18, G19 (see also Chapter4.4: Selection of planes).

The maximum permissible circle radius is 109 mm. However, the end point of the circular arc may not exceed the maximum traverse range +- 2,14*105 mm of the axes.

For defining the circle, the starting point of the circle "Ka" (determined through the previous block), the end point of the circle "Ke" and the center point of the circle "Km" are taken. The specification of the center point of the circle is done through the interpolation parameter I, J, K relative to the starting point of the circle under a valid G162. Absolute under a valid G161.

Circle interpolationcnc

I J Position of circle center point of the interpolation in XY plane (I in X, J in Y), according to G161/G162

All programmed tracking axes are moved with linear velocity in such a manner that the start and the end of their movement take place simultaneously to that of the main axes.

Circle interpolationcalculator

If under active G02/G03 the interpolation parameters are programmed without the circle ending point, then a full circle is traversed.

In case of a wrong definition of the circle center point, an error message is output, if center point correction is not switched on (G165). Under an active G165, a center-point is determined in a way that a circle can be traversed. This also means that if the interpolation parameters are not programmed, the circle-center-point-correction originates from I, J, K = 0. Moreover, the circle center point coordinates are "non-modal”.