Circular interpolation (G02/G03)

Syntax:

G02

Helical interpolation clockwise (CW)

modal

G03

Helical interpolation counter-clockwise (CCW)

modal

When G02 or G03 is selected, the programmed path is travelled to the target point in circular motion at the feedrate specified in the F word (e.g. mm/min) Circular motion can be travelled in the three main planes of the spatial coordinate system (X-Y, Z-X, Y-Z). The main plane is selected using the functions G17, G18, G19 (see Plane selection).

All programmed tracking axes move at linear velocity in such a way that the start and end of their motion take place simultaneously with the main axes.

Description of circle functions G02 and G03
Description of circle functions G02 and G03

The circle is defined by taking the starting point of the circle "Ka" (determined in the preceding block), the target point of the circle "Ke" and the centre point of the circle "Km". The centre point of the circle is specified by the interpolation parameters I, J, K relative to the starting point of the circle when G162 is active or absolute when G161 is active.

 

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

If the circle centre point is incorrectly defined, an error message is output if no centre point compensation is switched on (G165). When G165 is active, a centre point is defined so that a circle can be travelled. It also means that if the interpolation parameters are not programmed, circle centre point compensation originates at I, J, K = 0. In addition, the circle centre point coordinates are "non-modal”.

Notice

notice

The maximum permissible circle radius is 109 mm. The target point of the arc may not exceed the maximum motion path of the axes of +- 2.14*105 mm.

If G02/G03 is active and if the interpolation parameters I, J, K are programmed with no circle end point, a full circle is travelled. Alternatively to I, J, K, the circle radius may also be defined with R (see Radius programming (R, G163)). However, it is not possible to program a full circle with R.

Syntax example for G17 plane:

G02 | G03 [X.. Y..] I.. J.. | R..

G02 | G03

Circular interpolation CW / CCW

X.. Y..

Target point in XY plane in [mm, inch]

I..J..

Position of circle centre point of interpolation in XY plane (I in X, J in Y) in [mm, inch], according to G161/G162

R..

Radius of an interpolated partial circle (alternative to I, J) in connection with specification of a target point in [mm, inch].

Syntax according to selected interpolation plane:

Plane

Interpolation type

Target point in plane

Centre 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

Programing Example

prg_example

Circular interpolation

N05 G0 X0 Y0

N10 G01 X10 Y10 F1000

N20 G02 X30 Y30 I10 J10          ;Semicircle about M1 circle end point X30 Y30

;Alternative N20:

N20 G02 X30 Y30 R[10*SQRT[2]]  ;Semicircle about M1 circle end point X30 Y30

N30 G02 I10 J10                 ;Full circle about M2

Alternatively, circles can also be programmed by specifying the radius. This is possible using G163="radius value" or using the address letter R="radius value". It is also possible to define using R1="radius value” (see sections Specifying centre point for circle definition (G161/G162) - Controlling centre point offset in circle (G164/G165)).

Programing Example

prg_example

Circular interpolation

;Absolute dimensional input:

N05 G90 G00 X40 Y30 U40              ;Circle starting point (Ka), starting position

N10, G90 F1000                        ;Absolute dimension, feedrate

N20 G17                              ;Select X-Y plane

N30 G03 G161 X60 Y50 I60 J30 U90     ;Circle: Ka -> Ke and straight line: P1 -> P2

;Incremental dimensional input:

N05 G90 G00 X40 Y30 U40              ;Circle starting point (Ka), starting position

N10 G91 F1000                        ;Incremental dimension, feedrate

N20 G17                              ;Select X-Y plane

N30 G03 G162 X20 Y20 I20 U50         ;Circle: Ka -> Ke and straight line: P1 -> P2

Examples of circular interpolation
Examples of circular interpolation