One of the primary mechanisms to vary one's vocal frequency is through vocal fold length changes. As stress and deformation are linked to each other, it is hypothesized that the anisotropy in the biomechanical properties of the vocal fold tissue would affect the phonation characteristics. A biomechanical model of vibrational frequency rise during vocal fold elongation is developed which combines an advanced biomechanical characterization protocol of the vocal fold tissue with continuum beam models. Biomechanical response of the tissue is related to a microstructurally informed, anisotropic, nonlinear hyperelastic constitutive model. A microstructural characteristic (the dispersion of collagen) was represented through a statistical orientation function acquired from a second harmonic generation image of the vocal ligament. Continuum models of vibration were constructed based upon Euler–Bernoulli and Timoshenko beam theories, and applied to the study of the vibration of a vocal ligament specimen. From the natural frequency predictions in dependence of elongation, two competing processes in frequency control emerged, i.e., the applied tension raises the frequency while simultaneously shear deformation lowers the frequency. Shear becomes much more substantial at higher modes of vibration and for highly anisotropic tissues. The analysis was developed as a case study based on a human vocal ligament specimen.
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March 2013
March 06 2013
The anisotropic hyperelastic biomechanical response of the vocal ligament and implications for frequency regulation: A case study
Jordan E. Kelleher;
Jordan E. Kelleher
Mechanical Engineering, Purdue University
, 585 Purdue Mall, West Lafayette, Indiana 47907
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Thomas Siegmund;
Thomas Siegmund
a)
Mechanical Engineering, Purdue University
, 585 Purdue Mall, West Lafayette, Indiana 47907
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Mindy Du;
Mindy Du
Otolaryngology-Head and Neck Surgery, University of Texas Southwestern Medical Center
, 5323 Harry Hines Boulevard, Dallas, Texas 75390
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Elhum Naseri;
Elhum Naseri
Otolaryngology-Head and Neck Surgery, University of Texas Southwestern Medical Center
, 5323 Harry Hines Boulevard, Dallas, Texas 75390
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Roger W. Chan
Roger W. Chan
b)
Otolaryngology-Head and Neck Surgery, University of Texas Southwestern Medical Center
, 5323 Harry Hines Boulevard, Dallas, Texas 75390
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a)
Author to whom correspondence should be addressed. Electronic mail: [email protected]
b)
Also at: Biomedical Engineering, University of Texas Southwestern Medical Center, 5323 Harry Hines Boulevard, Dallas, Texas 75390.
J. Acoust. Soc. Am. 133, 1625–1636 (2013)
Article history
Received:
June 30 2012
Accepted:
December 31 2012
Citation
Jordan E. Kelleher, Thomas Siegmund, Mindy Du, Elhum Naseri, Roger W. Chan; The anisotropic hyperelastic biomechanical response of the vocal ligament and implications for frequency regulation: A case study. J. Acoust. Soc. Am. 1 March 2013; 133 (3): 1625–1636. https://doi.org/10.1121/1.4776204
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