Totally agree.@chris_b nailed it.
Ideally every bit of the energy generated by your amp should be going to moving the drivers, producing sound. If some of that energy is instead causing the structure of the cab to vibrate, then you’re wasting power, as well as causing unnecessary mechanical strain on both your amp and your cab.
If you want to fix the symptom, then get a rubber mat or a tie-down strap or similar.
If you want to fix the problem, your cab needs better/additional bracing.