Authors

T. Risse, T. Hélie, F. Silva, V. Wetzel

Abstract

In this work, we propose a power-balanced model of the full vocal apparatus, described by passive elementary components, the connection of which accounts for fluid-solid and fluid-fluid interactions. In the larynx, we consider a potential incompressible flow of an inviscid fluid between parallel moving walls whose dynamics is reduced to a mass-spring-damper oscillator equipped with an elastic cover. The vocal tract is represented by a macroscopic lumped parameter model derived for the irrotational flow of a compressible inviscid fluid with the simplest kinematics satisfying the boundary conditions. The assembly of elements admits a representation as a constrained global port-Hamiltonian system for which we propose simulations based on a projection method that preserves the power balance. Several numerical experiments show the ability of the model to reproduce a variety of regimes according to different configurations: non oscillating regimes (no phonation), periodic regimes (typical of healthy voice) and non-periodic oscillating regimes (typical of dysphonia). These simulations are used to sketch first cartographies of regimes with respect to con-trol parameters.

Citation

  • Journal: Proceedings of the 10th Convention of the European Acoustics Association Forum Acusticum 2023
  • Year: 2024
  • Volume:
  • Issue:
  • Pages: 4223–4230
  • Publisher: European Acoustics Association
  • DOI: 10.61782/fa.2023.0693

BibTeX

@inproceedings{Risse_2024,
  series={FA2023},
  title={{Lumped parameter modelling and simulation of a simplified vocal apparatus in the port-Hamiltonian framework}},
  DOI={10.61782/fa.2023.0693},
  booktitle={{Proceedings of the 10th Convention of the European Acoustics Association Forum Acusticum 2023}},
  publisher={European Acoustics Association},
  author={Risse, T. and Hélie, T. and Silva, F. and Wetzel, V.},
  year={2024},
  pages={4223--4230},
  collection={FA2023}
}

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