### ASA 127th Meeting M.I.T. 1994 June 6-10

## 3pMU8. Synthesis of the sound pressure radiated by a guitar using a mixed
time- and frequency-domain modeling technique.

**Thomas Carter
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Jean-Louis Guyader
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*Lab. Acoust. Vib., Batiment 303, Inst. Natl. des Sci. Appl., 69621
Villeurbanne, France
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**Antoine Chaigne
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*Telecom Paris, 75634 Paris Cedex 13, France
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A general method has been previously developed by O. Beslin et al. [J.
Acoust. Soc. Am. 89, 1868 (A) (1991)], using a variational method to describe
the motion of a perforated plate, and a integral formulation for the modeling
of the consecutive radiated sound pressure. This model is now adapted to the
particular case of a guitar, whose top plate is represented by a rectangular
orthotropic plate with hole and back cavity. The sound pressure computation is
carried out in the frequency domain, for a point force acting at the bridge.
This yields the pressure versus force transfer function H((omega)), from which
the corresponding impulse response h(t) can be derived by means of inverse
Fourier transforms. Finally, the guitar tones are obtained by convolving h(t)
with a time-domain formulation of the force F(t) imparted to the bridge by a
guitar string, using a finite difference method previously developed by A.
Chaigne [J. Acoust. 5(2), 181--211 (1992)]. This model is used for
investigating the influence of various plate parameters on timbre and sound
quality of the instrument.