Maybe you found the resonant frequency of the paper. At the install shop I went to, the guys had found a song that struck the resonant frequency of the corrugated aluminum sides and when they played it, it all shook. (Of course, it was stuck to the wall so it wasn't as dramatic.)
Or, it could have to do with the way the box is "tuned." You say its tuned to 40hz, so at levels below that (30-33), that port is just like a hole in a box. You aren't creating any sort of air-pressure resonance/resistance/interaction at such a level, so the air is just going out and then back in. I think the reason that it reacts so suddenly there and not below is b/c the speaker isn't playing efficiently at that level. I'm sure you've seen a response curve before for a subwoofer or such, and I bet that a response curve for that thing drops of STEEPLY after about that point. SPL is played in the upper ranges b/c that's where a speaker is most efficient. (Hence, for SPL, you would want to emphasize those higher freq. when you port the box.)