Siemens SINUMERIK 840D sl Programming Manual page 324

Fundamentals
2.12 Coordinate transformations (frames)
Syntax
Requirements
The position of a plane in space is clearly defined by two solid angles. The plane would be "over-
defined" by the specification of a third solid angle. It is therefore not permitted.
If only one solid angle is programmed, the rotation of the WCS is identical to ROT, AROT (see
Section "Programmable rotation (ROT, AROT, RPL) (Page 316)").
Through the two programmed axes, a plane is specified according to the plane definitions for
G17, G18, G19. This defines the sequence of the coordinate axes (1st axis / 2nd axis of the
plane) or the sequence of the rotations through the solid angles:
Alignment of the G17 plane ⇒ solid angle for X and Y
● 1st rotation: X around Y through the angle α
● 2nd rotation: Y around X' through the angle β
● Orientation: X' is in the original Z/X plane.
ROTS
AROTS X<α> Y<β>
CROTS X<α> Y<β>
Alignment of the G18 plane ⇒ solid angle for Z and X
● 1st rotation: Z around X through the angle γ
● 2nd rotation: X around Z' through the angle α
● Orientation: Z' is in the original Y/Z plane
ROTS
AROTS Z<γ> X<α>
CROTS Z<γ> X<α>
Alignment of the G19 plane ⇒ solid angle for Y and Z
● 1st rotation: Y around Z through the angle β
● 2nd rotation: Z around Y' through the angle γ
● Orientation: Y' is in the original X/Z plane.
ROTS
AROTS Y<β> Z<γ>
CROTS Y<β> Z<γ>
324
Plane
G17
G18
G19
X<α> Y<β>
Z<γ> X<α>
Y<β> Z<γ>
1st axis
X
Z
Y
Programming Manual, 12/2019, 6FC5398-2EP40-0BA0
2nd axis
Y
X
Z
NC programming