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
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