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lucaferranti avatar lucaferranti commented on July 23, 2024

that's a great idea and timing is also very good as I should have a PR with a first PILS solver interface coming in a week or so. In the small test I crafted it was applied to a 7-bar truss structure which had uncertainty on the stiffness of one bar (not sure if the resulting linear system was obtained with FEM or some other discretization) It's example 4.1 of the attached paper.

skalna2006.pdf

That (or maybe even better the more interesting 2D example you had sent marcelo) would add great value to the package!

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jorgepz avatar jorgepz commented on July 23, 2024

Excellent. 👍🏼

I could start writing down that example for the documentation.

Regarding the example, yes, the matrix K(p) is the same that is obtained using FEM.

Moreover, the matrix K(p) is a sum of 7 matrices each one multiplied by a stiffness s_{ij}. It would be helpful to explicitly write these matrices in the documentation, since they correspond the matrices Ai .... in the current PILS structure, as I understand it, the 6 matrices with fixed stiffnesses would sum the A0, and the A1 would be multiplied by the interval stiffness s_{23}.

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