Department of Physics and Astronomy, Bowling Green State University, Bowling Green, Ohio 43403, USA.
J Acoust Soc Am. 2012 Oct;132(4):2582-91. doi: 10.1121/1.4747618.
Ishizaka and Flanagan's classic two-mass model of vocal fold motion is applied to small oscillations where the equations become linear and the aerodynamic driving force is described by an effective stiffness. The solution of these equations includes an analytic formula for the two eigenfrequencies; this shows that conjugate imaginary parts of the frequencies emerge beyond eigenvalue synchronization and that one of the imaginary parts becomes zero at a pressure signaling the instability associated with the onset of threshold. Using recent measurements by Fulcher et al. of intraglottal pressure distributions [J. Acoust. Soc. Am. 129, 1548-1553 (2011).] to inform the behavior of the entrance loss coefficients, an analytic formula for threshold pressure is derived. It fits most of the measurements Chan and Titze reported for their 2006 physical model of the vocal fold mucosa. Two sectors of the mass-stiffness parameter space are used to produce these fits. One is based on a rescaling of the typical glottal parameters of the original Ishizaka and Flanagan work. The second requires setting two of the spring constants equal and should be closer to the experimental conditions. In both cases, values of the elastic shear modulus are calculated from the spring constants.
伊势崎和弗拉纳根的经典声带运动两质量模型应用于小振动，此时方程变为线性，气动驱动力由有效刚度描述。这些方程的解包括两个特征频率的解析公式；这表明，在特征值同步之外会出现共轭虚部，并且在压力达到标志与阈相关的不稳定性开始的信号时，其中一个虚部变为零。利用富勒等人最近对声门内压力分布的测量[J.声学学会杂志，129，1548-1553（2011）。]来告知入口损耗系数的行为，推导出了阈压的解析公式。它适用于陈和泰兹为他们 2006 年的声带黏膜物理模型报告的大部分测量值。使用两个质量-刚度参数空间的部分来生成这些拟合。一个基于原始伊势崎和弗拉纳根工作中典型声门参数的比例缩放。第二个需要将两个弹簧常数设置为相等，并且应该更接近实验条件。在这两种情况下，从弹簧常数计算弹性剪切模量的值。
