Corals naturally do this in the wild due to a stress response. It's fight or flight. In the wild, they shed and find another area of the reef to repopulate that meets more optimum conditions for survival. Unfortunately, in our tanks, it is a death sentence.
The fact that it is happening to multiple pieces means it is definitely something in your system that is causing them to go into flight mode.
In the past, when this has happened to me, it has always been a bacterial infection. However, that doesn't mean the same for you. I would check everything: pumps, heaters, wave makers, etc., for rust, especially anything with magnets. I would double-check salinity, temperature with a different probe, test the water, etc.
I know Cipro or antibiotics get a bad rap, but you cannot rule that out, and time is of the essence right now. I would check everything else, and if all else fails, then you could dose OA, Cipro, etc., to rule out an infection.
Good luck!