# Circular interpolation (G02/G03)

G02 Circular interpolation clockwise circle (CW) (modal)

G03 Circular interpolation counter-clockwise circle (CCW) (modal)

When G02 (clockwise circle, CW) or G03 (counter-clockwise circle, CCW) is selected, the programmed path is traversed with a feedrate 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).

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.

Fig. 4.3: Elucidation of circle functions G02 and G03

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.

G162: (basic settings)

I - relative position of Km in the X-direction

J - relative position of Km in the Y-direction

K - relative position of Km in the Z-direction

G161:

I - absolute position of Km in the X-direction

J - absolute position of Km in the Y-direction

K - absolute position of Km in the Z-direction

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-modalÂ”.

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

 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.

Syntax example for G17 plane:

G02 | G03 [X<expr>Y<expr>] I<expr>J<expr> | R<expr>

G02 | G03 Circular interpolation CW / CCW

X<expr> Y<expr> End point in XY plane

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

R<expr> Radius of the circle (alternative to I,J)

 Programming example

N10 G01 X10 Y10

N20 G02 X30 Y30 I10 J10 (Semicircle, circle end point X30 Y30)

N30 I10 J10 (Full circle)

N40 X50 Y50 (Error message, since no center point or)

Syntax according to the selected interpolation plane:

 Plane Interpolation type End point in plane Center point /Radius G17 G02/G03 X..Y.. I..J../R G18 G02/G03 Z..X.. K..I../R G19 G02/G03 Y..Z.. J..K../R

Absolute dimensional input:

Nnn G90 F1000 (Absolute dimension, feedrate)

Nnn G17 (Selection of X-Y-plane)

Nnn G03 G161 X60 Y50 I60 J30 U90 (Circle: Ka -> Ke and)

(linear interpolation: P1 -> P2)

Incremental dimensional input:

Nnn G91 F1000 (Incr. dimension, feedrate)

Nnn G17 (Selection X-Y-plane)

Nnn G03 G162 X20 Y20 I20 U50 (Circle : Ka -> Ke and)

(linear interpolation: P1 -> P2)

Fig. 4.4: Example for circle interpolation

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)

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