Radon

As a spin-off of King-Ghidorah, I have written a NURBS-based shell analysis (isogeometric analysis) component named Radon.
It is not very fast (e.g. compared to Kiwi3d), and memory consuming. But it is written in pure C#. So, anyone who has C# expertise can take a look at the code.

The scripts do not run alone; they require Sho, a numerical library developed by Microsoft Research.
The download link is no longer working, and I attempted to contact the persons in charge, but no one has responded.
So, I decided to make the installation package available from this site.
Sho download (download from this site)
Recently, I found a still-alive link to the installer.
[Sho download](download from MS research)
There are different versions, I assume, but any of them work.

Once Sho is installed, there should be a folder containing matrixinterf.dll and ShoArray.dll.
In each Grasshopper script, there is a C# component that says "Radon V1" that needs to reference those two DLLs.
mannage%20assembly.png
Drag and Drop the two DLLs to the left box in this dialog, and you are all set! The script should work.
matrixinterf.png

Example 01, HP shell clamped at one end

overview.png
It is known that this type of shell bend along the edges of a triangle spans between two endpoints of the clamped edge. When the thickness is led to extremely small, the inside region of the triangle becomes membrane stress dominant, while it is a bending moment dominant outside the zone.
GH definition (requires Sho)

Example 02, star-shaped T/C shell

star-bendingvsmembrane.png
To verify if it is a membrane shell, the membrane energy vs bending energy ratio should be checked.
By leading the thickness to an extremely small value, the structure is supported by pure membrane stress only.
GH definition (requires Sho)

Example 03, shamrock-shaped T/C shell

shamrock-bendingvsmembrane.png
To verify if it is a membrane shell, the membrane energy vs bending energy ratio should be checked.
By leading the thickness to an extremely small value, the structure is supported by pure membrane stress only.
GH definition (requires Sho)