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Self-oscillations of a vocal apparatus: a port-Hamiltonian formulation

Thomas Hélie 1 Fabrice Silva 2, 3
1 S3AM - Systèmes et Signaux Sonores : Audio/Acoustique, instruMents
STMS - Sciences et Technologies de la Musique et du Son
2 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : Port Hamiltonian systems (PHS) are open passive systems that full 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 ow 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 conguration laryngeal congurations are explored.
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Submitted on : Sunday, July 23, 2017 - 11:30:46 PM
Last modification on : Thursday, January 23, 2020 - 6:22:15 PM


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  • HAL Id : hal-01567464, version 1


Thomas Hélie, Fabrice Silva. Self-oscillations of a vocal apparatus: a port-Hamiltonian formulation. Frank Nielsen and Frédéric Barbaresco. Geometric Science of Information: Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings, Springer International Publishing, pp.375--383, 2017, 3rd conference on Geometric Science of Information (GSI), 978-3-319-68445-1. ⟨hal-01567464⟩



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