LaPSE Laboratory, Federal University of São João del Rei, Brazil.
Med Eng Phys. 2013 Aug;35(8):1079-88. doi: 10.1016/j.medengphy.2012.11.002. Epub 2012 Dec 6.
Many previous works involving physical models, excised and in vivo larynges have pointed out nonlinear vibration in vocal folds during voice production. Moreover, theoretical studies involving mechanical modeling of these folds have tried to gain a profound understanding of the observed nonlinear phenomena. In this context, the present work uses the nonlinear normal mode theory to investigate the nonlinear modal behavior of 16 subjects using a two-mass mechanical modeling of the vocal folds. The free response of the conservative system at different energy levels is considered to assess the impact of the structural nonlinearity of the vocal fold tissues. The results show very interesting and complex nonlinear phenomena including frequency-energy dependence, subharmonic regimes and, in some cases, modal interactions, entrainment and bifurcations.
许多涉及物理模型、离体和活体喉的先前研究指出,在发声过程中声带会发生非线性振动。此外,涉及这些褶皱的机械建模的理论研究也试图深入了解所观察到的非线性现象。在这种情况下,本工作使用非线性模态理论,通过对声带的两质量力学建模,研究了 16 个对象的非线性模态行为。考虑了不同能量水平下保守系统的自由响应,以评估声带组织的结构非线性的影响。结果表明,存在非常有趣和复杂的非线性现象,包括频率-能量依赖性、次谐波区,以及在某些情况下,模态相互作用、夹带和分岔。