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POSITIP 855 - heidenhain - DR. JOHANNES HEIDENHAIN GmbH

POSITIP 855 - heidenhain - DR. JOHANNES HEIDENHAIN GmbH

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I - 1 Fundamentals of Positioning<br />

Fundamentals of Positioning<br />

Nominal position, actual position and distance-to-go<br />

The position that the tool is to move to is called the nominal position,<br />

while the position of the tool at any given moment is called<br />

the actual position. The distance from the nominal position to the<br />

actual position is called the distance-to-go.<br />

Sign for distance-to-go<br />

The distance-to-go has a positive sign if the axis direction from the<br />

actual towards the nominal position is negative.<br />

The distance-to-go has a negative sign if the axis direction from the<br />

actual towards the nominal position is positive.<br />

Absolute workpiece positions<br />

Each position on the workpiece is uniquely identified by its absolute<br />

coordinates.<br />

Example: Absolute coordinates of position 1 :<br />

X = 20 mm<br />

Y = 10 mm<br />

Z = 15 mm<br />

If you are drilling or milling a workpiece according to a workpiece<br />

drawing with absolute coordinates, you are moving the tool to the<br />

value of the coordinates.<br />

Incremental workpiece positions<br />

A position can also be referenced to the preceding nominal position.<br />

In this case the relative datum is always the last programmed<br />

position. Such coordinates are referred to as incremental coordinates<br />

(increment = increase). They are also called incremental or<br />

chain dimensions (since the positions are defined as a chain of dimensions).<br />

Incremental coordinates are designated with the<br />

prefix I.<br />

Example: Incremental coordinates of position 3 referenced to<br />

position 2<br />

Absolute coordinates of position 2 :<br />

X = 10 mm<br />

Y = 5 mm<br />

Z = 20 mm<br />

Incremental coordinates of position 3 :<br />

IX= 10 mm<br />

IY= 10 mm<br />

IZ= –15 mm<br />

If you are drilling or milling a workpiece according to a drawing<br />

with incremental coordinates, you are moving the tool by the value<br />

of the coordinates.<br />

An incremental position definition is therefore a specifically relative<br />

definition. Likewise, a position defined by the distance-to-go to<br />

the nominal position is also a relative position (in this case the relative<br />

datum is in the nominal position).<br />

Fig. 6: Position definition through absolute<br />

coordinates<br />

<strong>POSITIP</strong> <strong>855</strong> Operating Instructions 9<br />

Y<br />

Y<br />

10 Z=15mm<br />

Y<br />

10<br />

5<br />

15<br />

20<br />

0<br />

Z<br />

Z<br />

Z<br />

15<br />

5<br />

I<br />

Fig. 5: Nominal position S , actual position I<br />

and distance-to-go R<br />

R<br />

S<br />

1<br />

X=20mm Y=10mm<br />

0<br />

2<br />

3<br />

IZ=–15mm<br />

IY=10mm<br />

IX=10mm<br />

10<br />

20<br />

10<br />

Fig. 7: Position definition through incremental<br />

coordinates<br />

X<br />

X<br />

X

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