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An idea I've been stewings over for a little bit is: when doing a Finite Element Analysis you perform a metropolis-Hastingsoptimization on the mesh of a part. This can be done on an initial mesh and then nearby nodes can be turned on and off and evaluated for if it fits your desired parameter or function. This relies on doing a lot of matrix operations and comparing quickly so it would be nice to get this graphically accelerated. Might look into doing this and applying it to a system in FreeCAD. So setting it up in python with numpies to do the calculations. This is interesting but not out of the realm of what others have done in the past. The other idea that is somewhat more intersting for me is that: You iterate the shape of a part over the tolerances that are applied in a 3d model. So instead of seeing an idealized FEA system we can see a distibution of expected outcomes. This is very important for verifying that manufactured parts all meet the desired specs. The challenge for this would be getting the tolerances matched to faces, for adding or removing nodes to the FEA model. We can also somewhat give a normal distribution of expected values. These single part simulations are only somewhat intersting. The real interesting thing would be using this for generating information on assemblies, like an extended version of tolerance analysis. You could evaluate Interference and if they can be forced to assemble if deformed slightly. the constraints for the simulation would be pulled from the assembly constraints. It might be an interesting idea to explore, Might be able to open up tolerances or lower requirements by getting a more exact idea of the things capabilities.

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