Musical Instrument Waveform Generator with Amplitude Correction

White noise is all highs, will not excite bass much.

Pink noise is reasonable except the sub-50Hz energy may be too exciting, and the >2kHz energy adds to the spec without really stressing the speaker much.

40+ years ago EV proposed a filtered noise, pinkish with the extremes cut; the sweet trick is that the implementation could be simpler than a proper pink filter. I think it was the basis of an IEC standard.

Random noise never has the thump-thump-thump-thump abuse of real music. Put Inagaddadavida and LA Woman on auto-repeat all night long.
Thanks for that. We must capitulate that any cabinet/speaker design must eventually go through "real world" final testing. Testing for oscillations in the shop is really basic and I think a good starting point with the sweep mentioned previously. If found, the very narrow frequency range may be focused on by keeping it static, then locating the source of the problem.
A pure "driver" that has no cone could be used to reduce vibration in the cabinet but add cost, complexity and draw power.