14th International Congress of Phonetic Sciences (ICPhS-14)
San Francisco, CA, USA
We build a system of coupled variational principles expressing the sound field in a network of non uniform and dissipative acoustic ducts. We assume that each duct complies with the model of an acoustic transmission line. We show that our variational formulation of the sound field is equivalent to the traditional differential formulation. The variational formulation allows for the use of the Ritz method which permits to build fast computational algorithms of resonance modes, as well as antiresonances and transfer functions. We compare our results with experimental measurements published in literature. Our method is applied to tree structures representative of nasalized sounds and to a net structure representative of lateral consonants.
Bibliographic reference. Jospa, Paul / Praag, Roland Van (1999): "Sound field computation in a network of non-uniform ducts. application to the vocal tract", In ICPhS-14, 2141-2144.