Your linked article has to do with clearing ice from navigable waters, as far as I can tell. It is pretty obtuse! I am not sure how having something move across the ice produces resonance.
For an item covered with ice, you are probably thinking about something like a tone at the resonant frequency being used to break a wine glass.
Like mechanical resonance, acoustic resonance can result in
catastrophic failure of the object at resonance. The classic example
of this is breaking a wine glass with sound at the precise resonant
frequency of the glass, although this is difficult in practice.
At the resonant frequency a solid object will vibrate a lot because the successive sound waves add energy - this is why the wine glass breaks. In theory that might be possible with the ice but it could be possible with the drill or a very hard object like the drill bit.
You would need something to project sound (like an amplifier) and something to create sounds at various frequencies (dare I hope an electric guitar?) until you found the resonant frequency for the drill.