Latest modeling results (2003)
Simple Model of a Piano Soundboard
The vibrational properties of a simple finite element model of a piano
soundboard are considered. Our main focus is on the behavior of the
mechanical impedance in the musically important frequency range -
50~104 Hz. The model includes the effects of elastic
anisotropy and the ribs. It is argued that the ribs are an essential
ingredient for producing the behaviour of the impedance which is observed
[Journal of the Acoustical Society of America, vol. 102, p. 1159 (1997)]
Sound Production by a Vibrating Piano Soundboard
The generation of sound by a piano soundboard
is investigated experimentally, through measurements of the
sound pressure, p, and the soundboard velocity,
in response to a force applied at the bridge.
Results for the ratio p/vb as a function
of frequency, for forces applied perpendicular to the
soundboard at different locations (i.e., driving
points) on the bridge, are presented.
At all locations, p/vb is largest at frequencies of order
1 kHz, and falls off below a few hundred Hz and above
about 5 kHz.
A few results obtained with the force applied along the string direction
(i.e., parallel to the plane of the soundboard) are also described.
These results are compared and contrasted with previous experiments,
and with theoretical expectations.
[Journal of the Acoustical Society of America, vol. 104, p. 1648 (1998)]
Plucked Strings and the Harpsichord
(N. Giordano and J. P. Winans II)
The excitation of a harpsichord
string when it is set into motion, i.e., plucked, by a plectrum is studied.
We find that the amplitude of the resulting string vibration is
approximately independent of the velocity with which the key
is depressed. This
result is in accord with conventional wisdom, but at odds with
a recent theoretical model.
A more realistic theoretical treatment
of the plucking process is then
described, and shown to be consistent with our measurements.
The experiments reveal several other interesting aspects of
the plectrum-string interaction.
[Journal of Sound and Vibration, vol. 224, p. 455 (1999)]