## A Theory of Vibration of the Larynx |

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air chambers air flow air stream approximately area Sg assumed Bernoulli coupling Bernoulli effect coefficient compression coordinate cord tip decrement determinant displacement Q dissipation elastic reaction equilibrium position expiration of air flow of air force equations free vibration frequencies of free friction glottis and vocal glottis mass harmonic content Helmholtz resonator imaginary inertia reactance instantaneous kinetic energy Lagrange equation larynx measured models modulation constant natural frequency necessary to evaluate neglecting second order neglecting the reactions obtained pharynx plug of air positive root potential energies power series pressure qualitative quantities range relatively represented resistance and inertia resistance modulation simplicity of notation slit width small superimposed small velocity stiffness Kg sustained oscillation sustained vibration THEORY OF VIBRATION trachea and lungs trachea piston tube turbulence upper vocal cavities varies velocity of flow vocal cords VOCAL TRACT voice volume of air Ъу