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SUMMARY:Nonlinear Acoustics in Brass Instruments - Ed Brambley &amp\; Jame
 s McTavish
DTSTART:20191211T160000Z
DTEND:20191211T170000Z
UID:TALK135745@talks.cam.ac.uk
CONTACT:Matthew Priddin
DESCRIPTION:Brass instruments sound brassy due to nonlinearity inside the 
 instrument (not\, as the name would suggest\, because they look like they 
 are made of brass).  This work aims to answer the question "can you hear t
 he shape of a trumpet?"\, by considering weakly nonlinear sound in a cylin
 drical duct with varying diameter and curved centreline.  In particular\, 
 a rather neat tensorial construction (due to James McTavish\, as is almost
  all of this work) gives a relatively straightforward way to generalize an
 y linear quantity to include weakly nonlinear effects.  For example\, matr
 ices relating wave transmission\, reflection\, or impedance\, can all be g
 eneralized to weak nonlinearity.  This includes\, we believe for the first
  time\, the weakly nonlinear version of the boundary condition at an open 
 end of a duct (c.f. the linear Wiener-Hopf solution by Munt).  We can\, th
 erefore\, ask questions such as whether the end correction at a duct exit 
 varies with the amplitude of the sound.  Some preliminary musical results 
 for a simplified trombone will also be included.\n
LOCATION:MR20
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