At only one location with two iPads one would go offline almost every day (but not every day) between 12pm and 1pm, for 10-20 minutes. Never the same time of day, and never the same length of time. It was always the same iPad, the other one on that network stayed online the entire time.
We replaced the iPad and the problem persisted. Finally I got fed up, put my phone on silent, ignored everything, and watched the Dropcam feed for the 2 hours near the usual time. Slowly I saw the sun light up the lockers, eventually shining on the iPad. Ten minutes later, after sitting in direct sunlight, it went offline. As the sun moved, the iPad went back in to shadow and came online on its own.
It was overheating and shutting itself off until it cooled down. The time changed because day lengths change, and the days it didn’t go offline were cloudy.