On Thursday, 12 March, 2015 10:41:46 Ethan A Merritt wrote:
> On Thursday, 12 March, 2015 13:11:10 Keller, Jacob wrote:
> > >If projects a middle-C-tone into a piano, do all of the lower notes
> > >resonate as well, according to the Kramers-Kronig relation?
> > If you press the right pedal the harmonics of the note you play will
> > resonate. My piano teachers never mentioned to me the Kramers-Kronig
> > relation but that's a long time ago, perhaps they do these days.
> >
> > Right, I always understood that it was just the harmonics which would
> > resonate. But according to Kramers-Kronig, wouldn't there be resonance on
> > all strings, just as there's anomalous scattering at all higher energies
> > above the edge? Each string of lower frequency would be analogous to an
> > anomalous scatterer with an edge at a lower energy than the incident
> > radiation. Hmm, maybe it really does happen?
>
> The better-known example is the precaution of having
> soldiers break step when crossing a bridge. The higher-frequency
> input from march-tempo footsteps can excite a lower frequency
> resonance in the bridge structure with possible bad consequence.
Note that this can lead to "anomalous scattering" of the incident soldiers.
Ethan
> But yes, it works for pianos too.
>
> Ethan
--
Ethan A Merritt
Biomolecular Structure Center, K-428 Health Sciences Bldg
MS 357742, University of Washington, Seattle 98195-7742
