Inflate into a rigid frame?

I am trying to understand how exterior features of a fabric cylinder would deform and how much the length of the cylinders ends would change when put through frames of different shapes and inflated. I think Kangaroo is where I need to start looking but I am unable to find any examples to help me find a starting place.

Thanks in advance!

‘Inflate’ and ‘cage’ are two terms for the search function…

There are a few examples such as this: