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Related Experiment Video

Updated: May 23, 2026

Synthetic, Multi-Layer, Self-Oscillating Vocal Fold Model Fabrication

Synthetic, Multi-Layer, Self-Oscillating Vocal Fold Model Fabrication

Published on: December 2, 2011

Source-tract interaction with prescribed vocal fold motion.

Richard S McGowan¹, Michael S Howe

¹CReSS LLC, 1 Seaborn Place, Lexington, Massachusetts 02420, USA. rsmcgowan@cressllc.net

The Journal of the Acoustical Society of America

|April 17, 2012

Summary

This summary is machine-generated.

A new Fant equation models glottal volume velocity, incorporating vocal tract interactions. This model simplifies calculations using input impedances, revealing how vocal fold motion and tract resonances affect voice production.

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Area of Science:

Acoustics
Bioacoustics
Fluid Mechanics

Background:

The Fant equation models glottal airflow.
Previous models often simplified vocal tract interactions.
Understanding source-tract coupling is crucial for voice production.

Purpose of the Study:

To derive an improved Fant equation incorporating sub- and supra-glottal vocal tract influences.
To demonstrate that measurable input impedances can provide coefficients for the equation.
To analyze the impact of vocal tract acoustics on glottal airflow patterns.

Main Methods:

Derivation of the Fant equation using adjoint properties of Green's functions.
Utilizing input impedance poles and zeros, avoiding explicit Green's function calculations.
Simulating acoustic propagation using Sturm-Liouville problems and cylindrical tube models.

Main Results:

The derived Fant equation successfully models time-evolution of glottal volume velocity with vocal tract presence.
Input impedances directly provide coefficients for the Fant equation when source-tract interaction is included.
Simulations show glottal pulse skewing influenced by vocal tract formants and fundamental frequency.

Conclusions:

The new Fant equation offers a more comprehensive model of voice production by including vocal tract acoustics.
Measurable acoustic properties like input impedance simplify the application of the model.
The findings provide insights into how vocal tract resonances shape the glottal airflow, impacting voice quality.