Numerical Simulation of guitar radiation fields using the boundary element method

Matthew Brooke

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

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