The article is actually quite interesting, and tho I'll need a couple
more reads to properly digest it there are a couple relevant points
right off worth mentioning. It turns out, according to these folks mind
you, that the soundboard deflects under string bearing in patterns quite
identical to the those of the lower modes of panel vibration. They
claim to be able to identify changes in mode shapes and resonant
frequencies for changes in string bearing amounts. Further, they claim
they are able to measure driving point impedance of the assembled piano
with relative ease and without an impedance head that simultaneously
measures the applied force and the acceleration. They use a kind of
electronic version of the Chladni method which does not require the
soundboard in a perfectly horizontal orientation. I'll include the
conclusions paragraphs for your edification: The whole article is
definitely worth a read.
Cheers
RicB
Conclusions:
We have described a method of electronic speckle pattern
interferometry that not only works with moderate decorrelation
of the speckle pattern, but demands it. We have
shown theoretically and experimentally that this arrangement
can be used to determine the deflection shapes of an object
that is normally too unstable to observe interferometrically,
and applied it to the study of a piano soundboard in situ.
Using this interferometer we have investigated the dynamics
of the soundboard of a piano and have compared the
results to a simple closed-form theory, as well as a finiteelement
model. Comparison of the deflection shapes of the
piano to those predicted by these models demonstrates that
the pressure exerted by the strings on the soundboard can
make significant changes in mode shapes and resonant frequencies.
The presence of this pressure has a significant effect
on the lowest modes, but appears not to be important in
determining the shapes and frequencies of the higher modes.
We have also shown that this interferometer can be used
determine resonance curves and driving-point impedance.
We have presented the resonance curves for the lowest three
modes of a soundboard and shown that they do not overlap
significantly.
We close by noting that the applications of this interferometric
technique are not restricted only to the investigation
of piano soundboards. Harmonic vibrations of any unstable
object that meets the requirements outlined in Sec. II can be
observed using this technique. Additionally, the theory can
be applied outside of the approximations if the value of e in
Eq. (10) is known.
-------------- next part --------------
An HTML attachment was scrubbed...
URL: https://www.moypiano.com/ptg/pianotech.php/attachments/20071216/4bf00895/attachment.html
This PTG archive page provided courtesy of Moy Piano Service, LLC