Alipour F, Berry D A, Titze I R
Department of Speech Pathology and Audiology, The University of Iowa, Iowa City 52242, USA.
J Acoust Soc Am. 2000 Dec;108(6):3003-12. doi: 10.1121/1.1324678.
A finite-element model of the vocal fold is developed from basic laws of continuum mechanics to obtain the oscillatory characteristics of the vocal folds. The model is capable of accommodating inhomogeneous, anisotropic material properties and irregular geometry of the boundaries. It has provisions for asymmetry across the midplane, both from the geometric and tension point of view, which enables one to simulate certain kinds of voice disorders due to vocal-fold paralysis. It employs the measured viscoelastic properties of the vocal-fold tissues. The detailed construction of the matrix differential equations of motion is presented followed by the solution scheme. Finally, typical results are presented and validated using an eigenvalue method and a commercial finite-element package (ABAQUS).
基于连续介质力学的基本定律建立了声带的有限元模型，以获得声带的振荡特性。该模型能够适应非均匀、各向异性的材料特性以及边界的不规则几何形状。从几何和张力的角度来看，它考虑了中平面两侧的不对称性，这使得人们能够模拟某些由于声带麻痹引起的声音障碍。它采用了测量得到的声带组织的粘弹性特性。给出了运动矩阵微分方程的详细构建，随后是求解方案。最后，使用特征值方法和商业有限元软件包（ABAQUS）给出并验证了典型结果。
