Sem,
My apologies. I was running out of ways to describe what I meant purely with words and did not have time yesterday to come up with a few cases and put them into figures. Hopefully the ones I have now made will communicate what I am trying to say and not confuse the issue further.
First off I want to reiterate/address something which I think is important and sort of preclude any discussion of maximum contact/UAME definition.
Your main premise starting with your post on (9 Mar 19 07:36) was that since the part could be fully constrained to a DRF during simulation, a UAME could be defined. I apologize for beating a dead horse but I think it bears repeating - it does not matter if the part is constrained, partially constrained, or unconstrained - the UAME definition will not change. If it did, it would violate the definition of UAME which does not involve datum references. If you want to attack it from a different angle by attempting to define maximum contact instead then I that is a different matter - I believe I still disagree, but at least I can see the merits of the argument.
See my attached figure for three cases.
Case #1 - offset faces are flat and parallel
Case #2 - offset faces are flat and non-parallel
Case #3 - offset faces are convex
In case #1, my assertion that the UAME boundary can progress without limit (1B*) so there is no "minimum size" and is therefore indeterminate. I understand your point about maximum contact but it is not in the definition of UAME and regardless is not well defined (if at all).
My case #2 further highlights this point. Where is maximum contact in your opinion? Is it 2B* or 2C*? Each has the same amount of contact, however 2C has a smaller envelope. As with case #1 there is no limit to the progression (and no minimum size limit to the UAME) so I say the UAME is still indeterminate.
For my case #3 I assert still that there is no limit to progression, now with no definable "maximum contact" as the UAME progresses the amount of contact never changes.
Sem D220 14 Mar 19 17:46 said:
For example, where both surfaces of the feature are produced slightly convex, there could theoretically be 2 different orientations at which the UAME simulator can contract to the same size of minimum separation (maximum separation for this case would be when the simulator contacts the peaks at the central areas of the slightly convex surfaces)
This would be my case #3. I believe there is no limit to progression and not 2 different orientations as you suggest.
Sem D220 14 Mar 19 17:46 said:
But - and this is the important point - the same issue can easily occur for regular opposed width features of size.
**
I'm actually not convinced this is the case. I had the same thought however after doing some quick modelling/sketching in CAD I explored some options such as a barrel-shaped convex feature with opposed points and there was always a single defined minimum separation of the UAME. If you can develop a figure which shows otherwise could you share it?
*Edit: a few incorrect references to my own figures
**Edit2: deleted some repeated portions of a quote