Help designing a funicular structure with compression and tension elements

Hi all!

I'm trying to develop a shell structure that is primarily arches/vaults in compression, but that is built off of a suspension cable. The cable should deflect to find the funicular form based on the loads applied by the vaults, which are also deflecting to find an optimal funicular form. 

Standard vaults are easy enough to design with mesh relaxation, but I am having a hard time conceptualizing how to incorporate the tension element because the forces must act in opposite directions. 

I'll include my definition, but I think it needs to be rethought.