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
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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?