Hyperbolic curved lattice structure

I have this curved hyperbolic model which was made by modelling each truss separately, then applying it over a curved surface issue is due to the way its modelled, when trying to export it , it comes out like the first image

however when its modelled as a single surface, the trusses are not even and in same areas are warped.

how can I model the trusses so that they are uniform and can be exported like this


The reason they have to be uniform is, some of the triangle panels open and close. like this model I made

the reference is this
metal joint (1)

what would be the best way to model this to achieve said result?