Finite Element Approximation of Eigenvibration of a Coupled Vibro-Acoustic System Motivated by Phonation into Tubes

0569957 - ÚT 2024 RIV CH eng C - Conference Paper (international conference)
Valášek, J. - Sváček, P. - Horáček, Jaromír
Finite Element Approximation of Eigenvibration of a Coupled Vibro-Acoustic System Motivated by Phonation into Tubes.
Mathematical Methods for Engineering Applications. Switzerland: Springer, 2022 - (Yilmaz, F.; Queiruga-Dios, A.; Santos Sánchez, M.; Rasteiro, D.; Gayoso Martínez, V.; Martín Vaquero, J.), s. 199-207. 384. ISBN 978-3-030-96400-9. ISSN 2194-1009.
[International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2021 /2./. Salamanca (ES), 01.07.2021-02.07.2021]
R&D Projects: GA ČR(CZ) GA19-04477S
Institutional support: RVO:61388998
Keywords : finite element method * vibroacoustics * Helmholtz equation * Eigenfrequencies of coupled system
OECD category: Acoustics
https://link.springer.com/chapter/10.1007/978-3-030-96401-6_19

The mathematical model of the vibro-acoustic problem representing human phonation into tube is formulated. It consists of acoustic and structural problem description as well as their mutual coupling. Here, the vocal folds vibrations are modelled using linear elasticity theory and the Helmholtz equation is used for frequency characterization of acoustic waves propagation in the vocal tract model. The both subproblems are numerically approximated by finite element method. The preliminary results compare the acoustic eigenfrequencies of vocal tract with tube and the eigenfrequencies of the coupled vibro-acoustic system. The eigenmodes with significant acoustic contribution are identified. The first eigenfrequency of coupled system with prevailing acoustic part is substantially increased indicating strong interaction with the elastic structure.
Permanent Link: https://hdl.handle.net/11104/0342437