Best ways to simulate grid shell bending?

[oberbichler (Thomas Oberbichler)]

Hi,

Here is another attempt using an elastic shell model and EQlib:

The trick is to model the flat configuration and prescribe an undeformed geometry to the lamellas. Then you can use the gumball to control the lifting.

Best
Thomas

[Nick_Bruscia]

@DanielPiker

I suspect there’s also a simpler way possible where you would optimise directly for the planar (or spherical) vertex stars without going via the Koebe polyhedron.

Hi Daniel,
For more complex topology i.e. quad meshes with singularities, do you think the isothermic goal could be used to find the asymptotic network as you describe? If I’m understanding this correctly, the planar vertex stars may produce planar strips, but they would only follow principal curvatures if the mesh is isothermic?

edit - I should say, singularities with even number valences as you mention in another post - Ellipsoid mesh from curvature lines - #6 by DanielPiker

@DanielPiker

If a grid is fully aligned with principal curvature directions, there can’t ever be any odd valence irregular vertices.