Siemens SINUMERIK 840C Installation Instructions Manual page 953

12 Functional Descriptions
12.18.16 Examples
Two co-ordinate systems are defined:
X/Z =
U/Z1 =
The real machine axes U and Z1 must be moved in order to traverse the programmed paths in
the X axis.
Plain grinding machine with inclined U axis
The mathematical relations in this case are as follows:
U = X ·
Z1 = X · (–tan )
Solution with GI
Axes X and Z, which form the simulated, cartesian co-ordinate system, are defined as
simulated leading axes for the real machine axes U (following axis 1) and Z1 (following axis 2).
2 gearbox interpolation groupings are therefore required.
Axis Z1 (following axis 2) allows for the path distance traversed by both the simulated X axis
and the simulated Z axis.
X
Simulated, cartesian co-ordinate system (X, Z) and real, non-cartesian co-ordinate system (U, Z1)
12–178
More user manuals on
Simulated cartesian co-ordinate system
Axes X and Z have no measuring circuit assignment. They are therefore referred
to as "simulated axes". The machine axes U/Z1 are programmed in the cartesian
co-ordinate system.
Real, non-cartesian co-ordinate system.
Axes U and Z1 are assigned via hardware measuring circuits. They are referred to
as "real axes".
X
1
–––––
cos
ManualsBase.com
U
Grinding wheel
Workpiece
U
U=X
progr
Z1
Z1= X
Z
© Siemens AG 1992 All Rights Reserved
12.93
Z1 (Z)
·1/cos
X
progr
· (– tan )
progr
6FC5197- AA50
SINUMERIK 840C (IA)