Comments on travelling wave solutions in nonlinear acoustic tubes: Application to musical acoustics

Reginald L. Harrison, Stefan Bilbao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

A common approach to modeling nonlinear behavior in acoustic tubes of variable cross section is to use an uncoupled travelling wave solution whose profile distorts progressively - the distortion occurs due to changes in wave speed, which is a result of the nonlinearity within the system. However, these uncoupled solutions neglect a) any interaction between the waves, even in the cylindrical case, and b) any scattering effects due to changes in cross sectional area. This paper attempts to identify what effect this separation of travelling wave solutions has compared to a coupled-wave solution. This is done with simple numerical time stepping methods for case a) to show the overall deviation of the solution when interactions are neglected. For case b) dispersion analysis is used on the linearized system to highlight the effect of scattering on the dynamics of the system.
Original languageEnglish
Title of host publicationProceedings of the 22nd International Congress on Acoustics
Place of PublicationBuenos Aires, Argentina
Number of pages10
Publication statusPublished - 5 Sept 2016

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