Brauchler Alexander, Ziegler Pascal, Eberhard Peter
Institute of Engineering and Computational Mechanics, University of Stuttgart, Pfaffenwaldring 9, Stuttgart, 70569, Germany.
J Acoust Soc Am. 2021 Jun;149(6):4450. doi: 10.1121/10.0005310.
The classical guitar is a popular string instrument in which the sound results from a coupled mechanical process. The oscillation of the plucked strings is transferred through the bridge to the body, which acts as an amplifier to radiate the sound. In this contribution, a procedure to create a numerical finite element (FE) model of a classical guitar with the help of experimental data is presented. The geometry of the guitar is reverse-engineered from computed tomography scans to a very high level of detail, and care is taken in including all necessary physical influences. All of the five different types of wood used in the guitar are modeled with their corresponding orthotropic material characteristics, and the fluid-structure interaction between the guitar body and the enclosed air is taken into account by discretizing the air volume inside the guitar with FEs in addition to the discretization of the structural parts. Besides the numerical model, an experimental setup is proposed to identify the modal parameters of a guitar. The procedure concludes with determining reasonable material properties for the numerical model using experimental data. The quality of the resulting model is demonstrated by comparing the numerically calculated and experimentally identified modal parameters.
古典吉他是一种广受欢迎的弦乐器,其声音源于一个耦合的机械过程。拨弦的振动通过琴桥传递到琴身,琴身起到放大器的作用来辐射声音。在本论文中,介绍了一种借助实验数据创建古典吉他数值有限元(FE)模型的方法。通过计算机断层扫描将吉他的几何形状逆向工程到非常高的细节水平,并注意纳入所有必要的物理影响因素。吉他中使用的五种不同类型的木材均按照其相应的正交各向异性材料特性进行建模,除了对结构部件进行离散化之外,还通过用有限元离散吉他内部的空气体积来考虑吉他琴身与封闭空气之间的流固相互作用。除了数值模型之外,还提出了一个实验装置来识别吉他的模态参数。该方法最后使用实验数据为数值模型确定合理的材料属性。通过比较数值计算得到的模态参数和实验识别得到的模态参数,证明了所得模型的质量。