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Náhradní hlasivky pro generování zdrojového hlasu: Počítačové modelování funkce hlasivek
Matug, Michal ; Vampola, Tomáš (oponent) ; Horáček, Jaromír (oponent) ; Švancara, Pavel (vedoucí práce)
Práce se zabývá výpočtovým modelováním funkce lidských hlasivek a vokálního traktu s využitím metody konečných prvků (MKP). Hlas hraje klíčovou roli v lidské komunikaci. Proto je jedním z důležitých cílů současné medicíny vytvořit umělé hlasivky, které by mohly být implantovány pacientům, kterým musely být odstraněny jejich hlasivky původní. Pro pochopení principů tvorby hlasu, určení parametrů, které musí umělé hlasivky splňovat a ověření jejich funkčnosti je možno využít výpočtového modelování. První část práce se zabývá výpočtovým modelováním pro tvorbu lidského hlasu šeptem. V této kapitole byl na MKP modelu vokálního traktu a průdušnice zkoumán vliv velikosti mezihlasivkové mezery na rozložení vlastních frekvencí pro jednotlivé samohlásky. Dále je v práci prezentován rovinný (2D) konečnoprvkový model samobuzeného kmitání lidských hlasivek v interakci s akustickými prostory vokálního traktu. Rovinný model vokálního traktu byl vytvořen na základě snímků z magnetické rezonance (MRI). Pro řešení interakce mezi strukturou a tekutinou je použito explicitní výpočtové schéma s oddělenými řešiči pro strukturu a pro proudění. Vytvořený výpočtový model zahrnuje: velké deformace tkáně hlasivek, kontakt mezi hlasivkami, interakci mezi strukturou a tekutinou, morfování sítě vzduchu podle pohybu hlasivek (metoda Arbitrary Lagrangian-Eulerian), neustálené viskózní a stlačitelné nebo nestlačitelné proudění popsané pomocí Navier-Stokesových rovnic a přerušování proudu vzduchu během uzavření hlasivek. Na tomto modelu jsou zkoumány projevy změn tuhosti a tlumení jednotlivých vrstev (zejména pak laminy proprii). Součástí této výpočtové analýzy je také porovnání chování hlasivek pro stlačitelný a nestlačitelný model proudění. Ze získaných výsledků výpočtu MKP modelu jsou následně vytvářeny videokymogramy (VKG), které umožňují porovnat pohyb mezi jednotlivými variantami modelu a se skutečnými lidskými hlasivkami. V další části práce je potom prezentován prostorový (3D) MKP model samobuzeného kmitání lidských hlasivek. Tento prostorový model vznikl z předchozího rovinného modelu vytažením do třetího rozměru. Na tomto modelu byl opět porovnáván vliv použití stlačitelného a nestlačitelného modelu proudění na pohyb hlasivek a vytvářený zvuk s využitím videokymogramů a zvukových spekter. Poslední část práce se zabývá jednou z možností náhrady přirozeného zdrojového hlasu v podobě plátkového elementu. Chování plátkového elementu bylo zkoumáno na výpočtovém a experimentálním modelu. Experimentální model umožňuje změny v nastavení vzájemné polohy plátku vůči dorazu a provádění akustických a optických měření.
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Finite element modal analysis of a silicone vocal fold filled with fluid
Hájek, P. ; Radolf, Vojtěch ; Horáček, Jaromír ; Švec, J. G.
A three dimensional (3D) finite element (FE) model of a silicone vocal fold (VF) filled with fluid is presented here. The silicone part of the model is based on partial differential equations of the continuum mechanics and consider large deformations. The fluid domain encapsulated in the silicone VF is defined semianalytically as a lumped-element model describing the fluid in hydrostatic conditions. The elongated and pressurized silicone VF was subjected to perturbed modal analysis. Results showed that the choice of the fluid inside the VF substantially influences the natural frequencies. Namely, the water-filling lowers the natural frequencies approximately by half over the air-filling. Besides, the procedure of reverse engineering for obtaining the geometry of the VF from already 3D-printed mold is introduced.
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Damping of human vocal folds vibration
Radolf, Vojtěch ; Horáček, Jaromír ; Bula, Vítězslav ; Geneid, A. ; Laukkanen, A. M.
This study investigates the biomechanics of the end-part of phonation, i.e. the so-called phonation offset, experimentally. This information of vocal fold damping is important for testing and further development of mathematical modelling of phonation. The measurements of the damping ratio, based on high-speed videolaryngoscopic registrations, were realized on a male subject phonating on the vowel [o:]. The results show during the phonation offset a remarkable decrease of vibration frequency of the vocal folds and an increased damping ratio limiting to the value D≈ 0.2. The results for vocal folds’ damping are in agreement with previous measurements performed on humans using different methods.
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Estimation of damping in human vocal folds vibration: measurements in vivo and on model
Horáček, Jaromír ; Radolf, Vojtěch ; Bula, Vítězslav ; Košina, Jan ; Geneid, A. ; Laukkanen, A. M.
This study investigates the biomechanics of the end-part of phonation, i.e. the so-called phonation offset, experimentally. This information of vocal folds damping is important for testing and further development of mathematical modelling of phonation. The measurements of the damping ratio, based on high-speed videolaryngoscopic registrations, were realized in vivo on a male subject and in vitro using an originally developed silicon replica of the human vocal folds. In both cases the results show remarkable decrease of vibration frequency of the vocal folds and increase of damping ratio D in the phonation offset limiting to the values D=0.12 in vivo measurement and D=0.11 in vitro measurement. The results for vocal folds’ damping are in good agreement with previous measurements performed in humans using different methods.
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Three-dimensional numerical analysis of Czech vowel production
Hájek, P. ; Švancara, P. ; Horáček, Jaromír ; Švec, J. G.
Spatial air pressures generated in human vocal tract by vibrating vocal folds present sound sources of vowel production. This paper simulates phonation phenomena by using fluid-structure-acoustic scheme in a three-dimensional (3D) finite element model of a Czech vowel [o:]. The computational model was composed of four-layered M5-shaped vocal folds together with an idealized trachea and vocal tract. Spatial fluid flow in the trachea and in the vocal tract was obtained by unsteady viscous compressible Navier-Stokes equations. The oscillating vocal folds were modelled by a momentum equation. Large deformations were allowed. Transient analysis was performed based on separate structure and fluid solvers, which were exchanging loads acting on the vocal folds boundaries in each time iteration. The deformation of the fluid mesh during the vocal fold oscillation was realized by the arbitrary Lagrangian-Eulerian approach and by interpolation of fluid results on the deformed fluid mesh. Preliminary results show vibration characteristics of the vocal folds, which correspond to those obtained from human phonation at higher pitch. The vocal folds were self-oscillating at a reasonable frequency of 180 Hz. The vocal tract eigenfrequencies were in the ranges of the formant frequencies of Czech vowel [o:] measured on humans, during self-oscillations the formants shifted to lower frequencies.
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Experimental modelling of vibroacoustics of the human vocal tract with compliant walls
Radolf, Vojtěch ; Horáček, Jaromír ; Košina, Jan
Experimental model of human vocal tract cavities with hard walls has been modified to take into account the compliance of the soft tissue of the human vocal tract. The paper presents the studied acoustic-structural interaction of the vocal tract cavities with a dynamical system originated in vibration of the soft tissue. The experimental results are in qualitative agreement with the results of mathematical modelling. Compliant walls of acoustic cavities generate additional low frequency acoustical-mechanical resonances of the system and increase acoustic resonance frequencies.
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Human vocal tract models with yielding walls – preliminary experimental results
Radolf, Vojtěch ; Horáček, Jaromír ; Košina, Jan
Yielding walls of acoustic cavities cause an additional low frequency acoustical – mechanical resonance of the system. This resonance changes also the higher acoustic resonance frequencies. Experimental model of human vocal tract cavities with hard walls has been modified to take into account the compliance of the soft tissue of human vocal tract. The unique experimental set-up has been assembled to study in detail acoustic-structural interaction of the vocal tract cavities with a dynamical system originated in vibration of the soft tissue. The experimental results are in qualitative agreement with the results of mathematical modelling.
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Influence of tissue changes in superficial lamina propria on production of Czech vowels
Hájek, P. ; Švancara, P. ; Horáček, Jaromír ; Švec, J.
Superficial lamina propria (SLP) is a water-like vocal fold (VF) layer located directly under overlying epithelium. Its material properties affect VF motion and thus resulting spectrum of produced sound. Influence of stiffness and damping of the SLP on sound spectrum of Czech vowels is examined using a two-dimensional (2D) finite element (FE) model of a human phonation system. The model consists of the VF (structure model) connected with an idealized trachea and vocal tract (VT) (fluid models). Five VTs for all Czech vowels [a:], [e:], [i:], [o:] and [u:] were used and their geometry were based on MRI data. Fluid flow in the trachea and VT was modelled by unsteady viscous compressible Navier-Stokes equations. Such a formulation enabled numerical simulation of a fluid-structure-acoustic interaction (FSAI). Self-sustained oscillations of the VF were described by a momentum equation including large deformations and a homogeneous linear elastic model of material was used. Fluid and structure solvers exchange displacements and boundary forces in each iteration. During closed phase VFs are in contact and fluid flow is separated. We can observe that both the damping and the stiffness of the SLP substantially influence the amplitude and frequency of VFs vibration as well as the open time of the glottis.\n
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