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Communication Dans Un Congrès Année : 2012

A non optimization-based method for reconstructing wind instruments bore shape

Résumé

The presented work is concerned with a prospective method towards the reconstruction of the bore shape of wind instruments. One contemplated application is to the study of ancient wind instruments. The so-called 'horn equation' is well-known for modelling propagation in variable section bores of wind instruments. Apart from strict modelling purposes, it has been used together with several optimization methods for the reconstruction of bore shapes of wind instruments. This work investigates properties of a quadratic invariant of second order linear differential equations of the Sturm-Liouville type. The question of reconstructing the potential appearing in such an equation thanks to this invariant is then applied to the horn wave equation, amounting to the bore shape reconstruction from external measurements that at this stage, are supposed to be feasible. Contrary to most of the approaches known to the author, the method presented here does not rely on optimization. On another side, one pending question, thus critical to the method, is that of the measurements that should be made in order to make this approach effective in practice. This should motivate discussions within the conference audience. As this research is prospective, no case study will be presented.
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Dates et versions

hal-00811107 , version 1 (23-04-2012)

Identifiants

  • HAL Id : hal-00811107 , version 1

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Georges Le Vey. A non optimization-based method for reconstructing wind instruments bore shape. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00811107⟩
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