Abstract
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.
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Acknowledgements
The financial support of this study was provided by the Grant No. SGS19/154/OHK2/3T/12 of the Grant Agency of the CTU in Prague and by the Czech Science Foundation under the Grant No. GA 19-04477S.
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Valášek, J., Sváček, P., Horáček, J. (2022). Finite Element Approximation of Eigenvibration of a Coupled Vibro-Acoustic System Motivated by Phonation into Tubes. In: Yilmaz, F., Queiruga-Dios, A., Santos Sánchez, M.J., Rasteiro, D., Gayoso Martínez, V., Martín Vaquero, J. (eds) Mathematical Methods for Engineering Applications. ICMASE 2021. Springer Proceedings in Mathematics & Statistics, vol 384. Springer, Cham. https://doi.org/10.1007/978-3-030-96401-6_19
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DOI: https://doi.org/10.1007/978-3-030-96401-6_19
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