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Normal modes in a continuum model of vocal fold tissues
1Department of Speech Pathology and Audiology, National Center for Voice and Speech, University of Iowa, Iowa City 52242-1012, USA.
The Journal of the Acoustical Society of America
|November 1, 1996
Summary
The Ritz method reveals two vocal fold eigenmodes crucial for phonation. These modes, with closely spaced frequencies, naturally entrain across various phonatory adjustments, aiding self-oscillation.
Area of Science:
- Biomechanics
- Acoustics
- Vocal Fold Physiology
Background:
- Understanding vocal fold dynamics is key to phonation.
- Previous models simplified vocal fold behavior.
- The role of specific eigenmodes in phonation requires further clarification.
Purpose of the Study:
- To calculate vocal fold eigenmodes and eigenfrequencies using a continuum model.
- To investigate the influence of natural boundary conditions on modal analysis.
- To elucidate the role of lower-order eigenmodes in vocal fold self-oscillation.
Main Methods:
- Application of the Ritz method for eigenmode and eigenfrequency calculation.
- Utilizing a continuum model of the vocal folds.
- Rectification and extension of previous theoretical studies.
Main Results:
- Two lower-order eigenmodes are critical for vocal fold self-oscillation.
- A vertical phasing mode exhibits significant control over glottal dynamics.
- Eigenfrequencies of these two modes are closely spaced across varied tissue properties.
Conclusions:
- Natural boundary conditions are essential for accurate modal analysis of the vocal folds.
- The close spacing of critical eigenmode frequencies explains their natural entrainment during phonation.
- This continuum model provides a more nuanced understanding of vocal fold vibration compared to lumped element models.