Cabinet resonance problem with Marantz MM9340 amplifier

The MM9340 amp is a four channel Class D amplifier producing 275W into 8 Ohms and 400W into 4 Ohms. I am using it to drive four subwoofers, which it can drive with ease. The problem is, the cabinet resonates seriously and appears to be in beat with the music. It does not appear to be airborne related nor is it originating from the stand. The resonance appears to generate from within the amp itself. Has anyone experienced a similar problem such as this? Any suggested solutions?