Measurement Uncertainty Of Angles - HEIDENHAIN ITNC 530 - CYCLE PROGRAMMING User Manual

Measurement uncertainty of angles

The TNC always indicates measurement uncertainty in degrees per 1
µm of system uncertainty. This information is important for evaluating
the quality of the measured positioning errors, or the backlash of a
rotary axis.
The system uncertainty includes at least the repeatability of the axes
(backlash) as well as the positioning uncertainty of the linear axes
(positioning errors) and of the touch probe. Since the TNC does not
know the accuracy of the complete system, you must make a
separate evaluation.
Example of uncertainty of the calculated positioning errors:
Positioning uncertainty of each linear axis: 10 µm
Uncertainty of touch probe: 2 µm
Logged measurement uncertainty: 0.0002 °/µm
System uncertainty = SQRT( 3 * 10² + 2² ) = 17.4 µm
Measurement uncertainty = 0.0002 °/µm * 17.4 µm = 0.0034°
Example of uncertainty of the calculated backlash:
Repeatability of each linear axis: 5 µm
Uncertainty of touch probe: 2 µm
Logged measurement uncertainty: 0.0002 °/µm
System uncertainty = SQRT( 3 * 5² + 2² ) = 8.9 µm
Measurement uncertainty = 0.0002 °/µm * 8.9 µm = 0.0018°
HEIDENHAIN iTNC 530 481