Self-oscillations of a Vocal Apparatus: A Port-Hamiltonian Formulation

Authors

Abstract

Port Hamiltonian systems (PHS) are open passive systems that fulfil a power balance: they correspond to dynamical systems composed of energy-storing elements, energy-dissipating elements and external ports, endowed with a geometric structure (called Dirac structure) that encodes conservative interconnections. This paper presents a minimal PHS model of the full vocal apparatus. Elementary components are: (a) an ideal subglottal pressure supply, (b) a glottal flow in a mobile channel, (c) vocal-folds, (d) an acoustic resonator reduced to a single mode. Particular attention is paid to the energetic consistency of each component, to passivity and to the conservative interconnection. Simulations are presented. They show the ability of the model to produce a variety of regimes, including self-sustained oscillations. Typical healthy or pathological configuration laryngeal configurations are explored.

Keywords

Vocal Apparatus; port-Hamiltonian Systems (PHS); Open Passive Systems; Glottal Flow; Dirac Structure

Citation

ISBN: 9783319684444
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-68445-1_44
Note: International Conference on Geometric Science of Information

BibTeX

@inbook{H_lie_2017,
  title={{Self-oscillations of a Vocal Apparatus: A Port-Hamiltonian Formulation}},
  ISBN={9783319684451},
  ISSN={1611-3349},
  DOI={10.1007/978-3-319-68445-1_44},
  booktitle={{Geometric Science of Information}},
  publisher={Springer International Publishing},
  author={Hélie, Thomas and Silva, Fabrice},
  year={2017},
  pages={375--383}
}

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References

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