Zhang Yang, Zheng Xudong, Xue Qian
Department of Mechanical Engineering, University of Maine, Orono, ME 04469, USA.
Appl Sci (Basel). 2020 Jan 2;10(2). doi: 10.3390/app10020705. Epub 2020 Jan 19.
This paper proposes a machine-learning based reduced-order model that can provide fast and accurate prediction of the glottal flow during voice production. The model is based on the Bernoulli equation with a viscous loss term predicted by a deep neural network (DNN) model. The training data of the DNN model is a Navier-Stokes (N-S) equation-based three-dimensional simulation of glottal flows in various glottal shapes generated by a synthetic shape function, which can be obtained by superimposing the instantaneous modal displacements during vibration on the prephonatory geometry of the glottal shape. The input parameters of the DNN model are the geometric and flow parameters extracted from discretized cross sections of the glottal shapes and the output target is the corresponding flow resistance coefficient. With this trained DNN-Bernoulli model, the flow resistance coefficient as well as the flow rate and pressure distribution in any given glottal shape generated by the synthetic shape function can be predicted. The model is further coupled with a finite-element method based solid dynamics solver for simulating fluid-structure interactions (FSI). The prediction performance of the model for both static shape and FSI simulations is evaluated by comparing the solutions to those obtained by the Bernoulli and N-S model. The model shows a good prediction performance in accuracy and efficiency, suggesting a promise for future clinical use.
本文提出了一种基于机器学习的降阶模型,该模型能够对语音产生过程中的声门气流进行快速且准确的预测。该模型基于伯努利方程,并带有一个由深度神经网络(DNN)模型预测的粘性损失项。DNN模型的训练数据是基于纳维-斯托克斯(N-S)方程对由合成形状函数生成的各种声门形状中的声门气流进行的三维模拟,合成形状函数可通过将振动过程中的瞬时模态位移叠加到声门形状的发声前几何形状上获得。DNN模型的输入参数是从声门形状的离散横截面提取的几何和流动参数,输出目标是相应的流动阻力系数。利用这个经过训练的DNN-伯努利模型,可以预测合成形状函数生成的任何给定声门形状中的流动阻力系数以及流速和压力分布。该模型进一步与基于有限元方法的固体动力学求解器耦合,用于模拟流固相互作用(FSI)。通过将模型的解与伯努利模型和N-S模型得到的解进行比较,评估了该模型在静态形状和FSI模拟方面的预测性能。该模型在准确性和效率方面均表现出良好的预测性能,显示出在未来临床应用中的前景。