Wade Laura, Hanna Noel, Smith John, Wolfe Joe
School of Physics, University of New South Wales, Sydney, New South Wales 2052, Australia.
J Acoust Soc Am. 2017 Mar;141(3):1546. doi: 10.1121/1.4976954.
During speech and singing, the vibrating vocal folds are acoustically loaded by resonant ducts upstream (the trachea) and downstream (the vocal tract). Some models suggest that the vocal fold vibration (at frequency f) is more stable at frequencies below that of a vocal tract resonance, so that the downstream load is inertive (mass-like). If so, vocal fold vibration might become unstable when f and resonance frequencies "cross over" and the load varies rapidly in phase and magnitude. In one experiment, singers produced a slow diphthong at constant pitch, thus shifting the first tract resonance R1 across fixed f. In another, pitch glides took f across the tract and subglottal resonances. Few instabilities occurred when singers could change lip geometry and thus alter R1. This suggests that avoiding resonance crossings can aid vibrational stability. In experiments in which R1 was constrained using a mouth ring, instabilities occurred at frequencies above R1. When subjects sang into an acoustically infinite pipe, which provided a purely resistive load at the lips, R1 was eliminated. Here, instabilities were reduced and concentrated near the lower limit of the head voice.
在说话和唱歌时,振动的声带在声学上受到上游(气管)和下游(声道)共振管的负载影响。一些模型表明,声带振动(频率为f)在低于声道共振频率时更为稳定,因此下游负载呈惯性(类似质量)。如果是这样,当f与共振频率“交叉”且负载在相位和幅度上快速变化时,声带振动可能会变得不稳定。在一项实验中,歌手以恒定音高唱出一个缓慢的双元音,从而使第一个声道共振R1越过固定的f。在另一项实验中,音高滑动使f越过声道和声门下共振。当歌手能够改变嘴唇形状从而改变R1时,几乎没有出现不稳定情况。这表明避免共振交叉有助于振动稳定性。在使用口环限制R1的实验中,在高于R1的频率处出现了不稳定情况。当受试者对着声学上无限长的管道唱歌时,该管道在嘴唇处提供了纯电阻负载,R1被消除。在这里,不稳定情况减少并集中在头声的下限附近。