These are just thoughts. Artichokes are not on my grow list up here so take my advice with a grain of salt.
You mentioned that your "not doing anything to them" and that you live in UT.
I would agree w/ David, these are most likely underfed and probably heat stressed so the energies of the plant are focused into maintaining growth right now.
In choosing a nutrient and schedule, understand a flowering/bloom fertilizer mix will enable the plant, but it will not trigger flower/seed production in plants. The plant's specific conditions must be met, such as the light cycle which is a trigger. If interested,
formatting link
a reference to gibberellic acid, a growth regulator .
Follow the USU recommendations of heavy N and water;
formatting link
. There is also the recommendation of cutting back in both of these references.
BTW, have you checked your pH? SW soil types and waters tend to be alkaline, usually much harder to keep in check unless you stay on top of it. This makes proper nute uptake more difficult. I did see an Extension paper ( a CA paper, I believe) where the recommended pH was 6.5 -7.0. On Dave's Garden website, they have Artichoke (variety unk) listed up to 7.6. ( a bit much I feel). There is more arid production towards SE CA that may be closer to your soil/climate if you wish to look for other clues.
I read where certain varieties will flower up until fall under certain conditions so you may still have a chance.
Good luck and let us know.