Tao Chao, Jiang Jack J
Department of Surgery, Division of Otolaryngology Head and Neck Surgery, University of Wisconsin Medical School, Madison, Wisconsin 53792-7375, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jun;77(6 Pt 1):061922. doi: 10.1103/PhysRevE.77.061922. Epub 2008 Jun 27.
The effect of glottal aerodynamics in producing the nonlinear characteristics of voice is investigated by comparing the outputs of the asymmetric composite model and the two-mass model. The two-mass model assumes the glottal airflow to be laminar, nonviscous, and incompressible. In this model, when the asymmetric factor is decreased from 0.65 to 0.35, only 1:1 and 1:2 modes are detectable. However, with the same parameters, four vibratory modes (1:1, 1:2, 2:4, 2:6) are found in the asymmetric composite model using the Navier-Stokes equations to describe the complex aerodynamics in the glottis. Moreover, the amplitude of the waveform is modulated by a small-amplitude noiselike series. The nonlinear detection method reveals that this noiselike modulation is not random, but rather it is deterministic chaos. This result agrees with the phenomenon often seen in voice, in which the voice signal is strongly periodic but modulated by a small-amplitude chaotic component. The only difference between the two-mass model and the composite model is in their descriptions of glottal airflow. Therefore, the complex aerodynamic characteristics of glottal airflow could be important in generating the nonlinear dynamic behavior of voice production, including bifurcation and a small-amplitude chaotic component obscured by strong periodicity.
通过比较非对称复合模型和双质量模型的输出,研究了声门空气动力学在产生声音非线性特征方面的作用。双质量模型假设声门气流为层流、无粘性且不可压缩。在该模型中,当非对称因子从0.65降至0.35时,仅能检测到1:1和1:2模式。然而,在相同参数下,使用纳维 - 斯托克斯方程描述声门复杂空气动力学的非对称复合模型中发现了四种振动模式(1:1、1:2、2:4、2:6)。此外,波形的幅度由小幅度噪声状序列调制。非线性检测方法表明,这种噪声状调制并非随机,而是确定性混沌。这一结果与声音中常见的现象相符,即语音信号具有很强的周期性,但由小幅度混沌成分调制。双质量模型和复合模型之间的唯一区别在于它们对声门气流的描述。因此,声门气流的复杂空气动力学特征可能对产生语音产生的非线性动态行为很重要,包括分叉以及被强周期性掩盖的小幅度混沌成分。