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Suppose a guitar bridge couples an ideal vibrating string to a single
resonance, as depicted schematically in Fig.9.5. This
is often an accurate model of an acoustic bridge impedance in a narrow
frequency range, especially at low frequencies where the resonances
are well separated. Then, as developed in Chapter 7, the
driving-point impedance seen by the string at the bridge is
That is, the driving-point impedance is the series combination of a
mass
, spring
, and dashpot
(§7.2). More
general bridge impedances can be modeled as a sum of such terms.
Since the bridge is passive,
is positive real
(§C.11.2).
Figure 9.5:
Ideal vibrating string
terminated by a second-order driving-point impedance consisting of a
mass
, spring
, and dashpot
.
![\includegraphics[width=\twidth]{eps/f_yielding_term}](img2010.png) |
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