Vibrational Behavior of Different Cross Sections

To put it bluntly, I would not trust any hardware/firmware/software/vaporware allegedly available on this topic. And I probably wouldn't trust half of the lab tests, either. On one hand, I'm sorry to sound negative; but on the other, only reality rules.

I agree with Tornado, but decided to comment anyway:

• I'd expect the stiffest cross-section (in a traditional structural design sense) to be the most resistant to vibration--its natural mode of vibration will be at a higher frequency, which requires more energy to vibrate
• As an aside to the above point, the stiffest has to be in all directions unless stiffened by other parts of the structure, which means, absent other stiffening, a round cross section is more resistant to vibration than anything unsymmetrical (like I-beam, channel, square)
• The resistance of individual members to vibration is the minor issue--it is the connections between them that is the bigger issue.

Sort of as a counterpoint to what Tornado and I are saying (you have to test a model), there is at least one of those super tall buildings in a foreign country in which they installed a sort of "suspended counterweight" (a pendulum like thing, iirc) in one of the upper floors to counteract vibration (well, swaying) of the structure due to winds and such. I would guess that they had some design calculations to set the initial parameters, but then needed to do some fine tuning on site.