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A theoretical model of the pressure field arising from asymmetric intraglottal flows applied to a two-mass model of the vocal folds
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Image of FIG. 1.
FIG. 1.

Schematic of the glottal geometry showing the left and right vocal folds throughout one phonatory cycle. (1) Closed, (2) Convergent passage, (3) Uniform passage, (4) Divergent passage, (1) Closed.

Image of FIG. 2.
FIG. 2.

Schematic of a simplified model of a vocal fold represented by a translating and rotating flat plate.

Image of FIG. 3.
FIG. 3.

(Color online) Velocity fields within the glottis of dynamically driven vocal fold models for a life-size flow rate Q mean = 0.253 L/s at a) t/T open= 0.60, b) t/T open = 0.70, c) t/T open= 0.80, and d) t/T open = 0.90.

Image of FIG. 4.
FIG. 4.

(Color online) Curve fit of experimental data for Q mean = 0.159 L/s, t/T open = 0.60 on the left ordinate, and Q mean = 0.253 L/s, t/T open = 0.80 on the right ordinate.

Image of FIG. 5.
FIG. 5.

(Color online) Comparison between experimentally measured velocity profiles at x = 2.4, 6.4, 10.4, and 14.4 mm along the glottal wall from the minimal glottal diameter with the Falkner-Skan profile at Q mean = 0.159 L/s, t/T open = 0.60.

Image of FIG. 6.
FIG. 6.

(Color online) Comparison between a Falkner-Skan velocity profile with β = −0.03 and an average of the experimental velocity profiles.

Image of FIG. 7.
FIG. 7.

Pressure and velocity variations within the glottis.

Image of FIG. 8.
FIG. 8.

Schematic of the two-mass model configuration and parameters.

Image of FIG. 9.
FIG. 9.

(Color online) Phase portrait of the amplitude displacements for the left (Y 1 L ) and right (Y 1 R ) masses throughout a phonatory cycle. The three cases presented are for 2MM (—), B-rand (- - -), and B-right (-.-).

Image of FIG. 10.
FIG. 10.

(Color online) Numerical results for 2MM (—) and the difference between 2MM and BLEAP (2MM - BLEAP) (- - -) schemes showing the a) Minimum glottal area change, b) Volumetric flow rate, c) Intraglottal forces, and d) Included glottal angle for the standard 2MM versus the BLEAP implementation.

Image of FIG. 11.
FIG. 11.

Phase portraits of Y 1 L versus Y 1 R with ps  = 1.2 kPa and  = 0.53 for a) 2MM and b) B-right.


Generic image for table

Exponents of the power-curve fits at each phase and flow rate.

Generic image for table

Results of selected glottal and acoustic metrics of interest for symmetric (ps  = 0.8 kPa and  = 1.0), and symmetric (ps  = 1.2 kPa and  = 0.53) vocal fold tensioning. The BLEAP scheme introduces subharmonics and has a more pronounced impact on acoustical parameters for asymmetric vocal fold tensioning.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A theoretical model of the pressure field arising from asymmetric intraglottal flows applied to a two-mass model of the vocal folds