If you suspect the unwanted sound is a mechanical resonance from a speaker driver, try running a frequency sweep (though be careful with volume level as you get into the highs - you don't want to fry a tweeter.) If there is a resonant frequency you'll notice it as the sweep comes up to that frequency and then it'll go away as your sweep continues to climb.
You can probably find a sweep you can download as an audio file if you do a Google search.
You can probably find a sweep you can download as an audio file if you do a Google search.