I don't know that much since I rarely have problems with this "bass body rumbling and resonating" type of feedback. From what I've gathered a notch filter is slick for dealing with this though. Maybe the HPF too. This can (and has) happened with a p/u too, not just mics. It usually only happens to me when I am pinned right next to my amp. If I can, I move away from my amp. If not, I turn down. It also has happened to me when the soundperson decides to keep turning up the volume of the PA little by little as the gig progresses. So do some guitar and keybaord players. Frankly I don't quite understand this behavior. I set my levels and leave 'em. In this case I just glare at the person working the board. If that doesn't work, or if they are immersed in something more important than what's going on on stage (like watching the TVs), I just turn down.Would it be correct to say that the resonated frequencies are due mic placement on the bass and can be additionally tamed with the HPF. And the squeeling has more to do with where you position your bass to the speakers?
Yes, the squealing mic feedback is mostly about where you position your mic relative to the speaker I think. Understanding the polar pattern of your mic will help. So will using a dynamic mic instead of a condenser. And of course getting a nice big acoustic sound so you don't have to crank the mic channel up, right?
That's what I know, but I'm no expert (playing at a Holiday Inn tonight remember?