So, this is a super-villain origin story. He is a scientist who worked on ultrasound imaging technology. This technology was using ultrasound to "see" underground and into building walls.
The mad scientist had a "They laughed at me, I'll show them, I show them all!" moment and decided to do what all mad scientists do and use his technology for evil. What he decided to do is destroy buildings. He looked into the "Tesla earthquake machine", tested it, saw that it didn't work as promised and got a bit depressed.
As he was sitting in his home, listening to the music on his expensive HyperSonic Sound system (that produces sound from ultrasound) and eating ice cream, he had a eureka moment. Sound is vibration of air molecules in the air. Actually, it could be said that it is vibration of molecules in the medium. You can make sound from ultrasound. If he focused two or three modulated ultrasound sources in the same place, he could produce vibrations in the foundations at the place they met, when the steel of the foundations acts as demodulator. If the wrong part of the building vibrates at just the wrong frequency, the whole thing (or at least a huge chunk of it) goes down.
Then the only thing he needed to do is find the building part's resonant frequency and modulate the signal as it changes and the building goes down.
This is not military technology, but a lone lunatic tech. If the military wants to destroy a building, they use bombs or C4. He has a budget of slightly less than 100,000 dollars and access to industrial equipment. No explosives, he doesn't have those types of legal permissions or contacts.
The question is, how feasible is this technology? Were there any tests or scientific research done for similar things? Would it be portable? Would he need a building-sized ultrasound generator? How much energy would it draw from the power grid?
Edit: The building is a modern building the size of a USSR-style 8 floor tall brezhnevka. He has half an hour before he is detected and stopped. If this is impossible, I would settle for a van-sized reusable device that can break most windows on a skyscraper in five minutes. Edit2: Bolded some parts, because people obviously don't read.
Hard science answers please.