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Measuring small arc segments and uncertainty


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I remember a thread on this topic sometime ago, but I am unable to locate it.

The post basically contained a chart that illustrated that as arc length decreases uncertainty increases.

I have some extremely thin and relatively small punched diaphragms with some tiny radii segments (R .0075" ±.0025") that present only 23°-29° of arc radius for measurement at best. The parts themselves exhibit poor form due to the manufacturing process and its proving extremely difficult to get a size/position that I can feel comfortable reporting.

Even with a 3D optical profilometer I don't think there's enough meat to work with. Anyone know where I can find a similar chart to the one I described so I can demonstrate to my handlers that the inspection method with such a small feature size is perhaps dubious at best?

Feature
https://ibb.co/MCW7hvm

Arc Radii Segments
https://ibb.co/0G0qD4V
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in characteristic, right click ...

Constrain XYZ of feature eval to find best size (provided nominals are correct, from CAD model, etc.)

Constrain Rad to find accurate XYZ location.

Try single points vs scanning for your best result. Either should work well, but just for your own comparison.

Good luck.
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Can you provide a link to the source material for this image?

Given that the form is poor, as you mentioned; I wonder if there may be a benefit to comparing the profile (with no datum controls), to show the part-to-part variation, on a set of samples (in conjunction with actual results, using a couple of different methods).
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Profile of a Line is a much better control of the radius.

I've also had good luck measuring the feature as a Curve, creating a Best-Fit alignment from the Curve, and measuring the Circle with single points constrained to the location of the Curve.

The biggest problem with constraints is that you are assuming that the feature is where you think it is, most likely it isn't. If it's a corner wall radius, you can also construct a simple alignment from a point on either side.

Small arc radii are a pain in the butt, even on machines designed to measure them like Contour Tracers.
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