﻿ 声带计算机仿真的新型数学–力学模型综述

# 声带计算机仿真的新型数学–力学模型综述Review on New Mathematical and Mechanical Models for the Computer Simulation of Vocal Cord

Abstract: A review on new mathematical and mechanical models of the vocal cords is given. The basic model is a two-mass nonlinear oscillator system which is accepted to be the basic one for mechanical de-scription in voice production. The model is not only extended into three, five, and more mass sys-tems, systems with time variable parameters and three-dimensional systems, but also simplified into one-mass system with coupled two-direction deflection and damping functions. The corres-ponding mathematical models are the systems of coupled second-order differential equations which describe the vibrations of the symmetric and asymmetric vocal folds. The models give the conditions for the regular and irregular motions like bifurcation and deterministic chaos in vocal folds. The obtained results are of special interest for detecting the pathology of vocal cords, when there is no visual effect of disease. Based on the results given in the paper, the objectives for future investigation in this matter are given.

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