The first part of the thesis develops the theoretical background for a numerical model of the classical guitar. The model computes, from fundamental parameters, the transfer function between the plucking force at any point on the string and the acoustic pressure at any arbitrary listening point in the guitar’s radiation field. This transfer function can then be converted to a signal in the time-domain, representing an actual tone which would be produced by the experimental guitar.
The resonant frequencies and mode shapes of the top plate have been previously determined by use of finite element analysis (Walker, 1991). Analytical formulations are developed to account for the coupling between all of the top-plate modes, the fundamental back-plate mode and the Helmholtz cavity resonance.
The modes of an idealized string are also coupled to the body, and the guitar’s acoustic radiation field is determined by use of the boundary element method (BEM). The theorybehind the BEM is explained and is adapted to the special case of the guitar…)
Numerical Simulation of guitar radiation fields using the boundary element method