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On the single-mass model of the vocal folds
Fluid Dynamics Research ( IF 1.3 ) Pub Date : 2010-01-18 , DOI: 10.1088/0169-5983/42/1/015001
M S Howe 1 , R S McGowan
Affiliation  

An analysis is made of the fluid-structure interactions necessary to support self-sustained oscillations of a single-mass mechanical model of the vocal folds subject to a nominally steady subglottal overpressure. The single-mass model of Fant and Flanagan is re-examined and an analytical representation of vortex shedding during 'voiced speech' is proposed that promotes cooperative, periodic excitation of the folds by the glottal flow. Positive feedback that sustains glottal oscillations is shown to occur during glottal contraction, when the flow separates from the 'trailing edge' of the glottis producing a low pressure 'suction' force that tends to pull the folds together. Details are worked out for flow that can be regarded as locally two-dimensional in the glottal region. Predictions of free-streamline theory are used to model the effects of quasi-static variations in the separation point on the glottal wall. Numerical predictions are presented to illustrate the waveform of the sound radiated towards the mouth from the glottis. The theory is easily modified to include feedback on the glottal flow of standing acoustic waves, both in the vocal tract beyond the glottis and in the subglottal region.

中文翻译:


关于声带的单一质量模型



对支持声带单质量力学模型自持振荡所需的流体-结构相互作用进行了分析,该模型受到名义上稳定的声门下超压的影响。重新审查了范特和弗拉纳根的单质量模型,并提出了“有声语音”期间涡旋脱落的分析表示,该分析表示促进声门流对褶皱的协作、周期性激发。维持声门振荡的正反馈发生在声门收缩期间,当气流与声门的“后缘”分离时,产生低压“吸力”,倾向于将褶皱拉在一起。计算出声门区域中可被视为局部二维的流动的细节。自由流线理论的预测用于模拟声门壁上分离点的准静态变化的影响。提出了数值预测来说明从声门向口腔辐射的声音的波形。该理论很容易修改,以包括声门驻波声门流的反馈,无论是在声门以外的声道还是在声门下区域。
更新日期:2010-01-18
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