Computer Drive Installation Instructions

12 Functional Descriptions 12.93

12.18.16 Examples

Two co-ordinate systems are defined:

X/Z = 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.

U/Z1 = Real, non-cartesian co-ordinate system.

Axes U and Z1 are assigned via hardware measuring circuits. They are referred to

as "real axes".

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

Grinding wheel

Workpiece

Z1 (Z)

The mathematical relations in this case are as follows:

U = X · –––––

cos

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.

Simulated, cartesian co-ordinate system (X, Z) and real, non-cartesian co-ordinate system (U, Z1)

Z1= X

progr

· (– tan )

progr

U=X

progr

·1/cos

12–178

SINUMERIK 840C (IA)