DC would push the cones one way or the other. The only way DC could cause a cone to move back and forth would be the DC alternating between positive and negative like switching the leads on a battery.
For example, if you take a "D" cell and connect the positive to the positive on the speaker and the negative to the negative, the cone will jump out and stay. If you reverse the negative and positive, the cone would go the other way and stay.
As a matter of fact, DC does not have frequency. It doesn't alternate like a sign wave(AC.) It travels in one direction. An amplifier produces an AC signal to the speakers. For DC to cause your problem, how did it get through the amp. I would also think that you would be hard pressed to get enough DC through your amp for it to do this. If the amp has a DC servo, it would block the DC to the amplifier input stages. If it uses an input cap, it would block DC.
I think you have a very, very low frequency modulation problem(modulating AC)coming from one of the preamp amplification stages. I would contact the manufacturer.