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-
represents transverse displacement
along the string at time
seconds and position
meters
-
is the string length in meters
- The PDE takes into account
- dispersion (fourth space derivative)
- frequency-dependent loss from 3rd time derivative
- hammer excitation denoted by
- A derivation of the wave equation for stiff strings
is given in Morse 1948 and in many acoustics texts.
(Cremer 1984 is especially good.)
(See the Course Bibliography
for full citations.)
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Download PianoString.pdf
Download PianoString_2up.pdf
Download PianoString_4up.pdf