Siemens SINUMERIK 840D sl Programming Manual page 323

①
α, β, γ
NC programming
Programming Manual, 12/2019, 6FC5398-2EP40-0BA0
Inclined plane
Solid angle
A Alignment of the G17 plane parallel to the inclined plane:
● 1st rotation
Rotation of x around y through angle α ⇒
x'-axis parallel to the inclined plane
● 2nd rotation
Rotation of y' around x' through β ⇒
y'-axis parallel to the inclined plane
⇒ z'-axis parallel to the inclined plane
⇒ G17 parallel to the inclined plane
B Alignment of the G18 plane parallel to the inclined plane:
● 1st rotation
Rotation of z around x through the angle γ ⇒
z'-axis parallel to the inclined plane
● 2nd rotation
Rotation of x' around z' through angle α ⇒
x'-axis parallel to the inclined plane
⇒ y'-axis parallel to the inclined plane
⇒ G18 parallel to the inclined plane
C Alignment of the G19 plane parallel to the inclined plane:
● 1st rotation
Rotation of y around z through the angle β ⇒
y'-axis parallel to the inclined plane
● 2nd rotation
Rotation of z' around y' through angle γ ⇒
z'-axis parallel to the inclined plane
⇒ x'-axis parallel to the inclined plane
⇒ G19 parallel to the inclined plane
2.12 Coordinate transformations (frames)
Fundamentals
323