Abstract

String instruments are complex mechanical vibrating systems, in terms of both structure and fluid–structure interaction. Here, a review study of the modeling and simulation of stringed musical instruments via the finite element method (FEM) is presented. The paper is focused on the methods capable of simulating (I) the soundboard behavior in bowed, plucked and hammered string musical instruments; (II) the assembled musical instrument box behavior in bowed and plucked instruments; (III) the fluid–structure interaction of assembled musical instruments; and (IV) the interaction of a musical instrument’s resonance box with the surrounding air. Due to the complexity and the high computational demands, a numerical model including all the parts and the full geometry of the instrument resonance box, the fluid–structure interaction and the interaction with the surrounding air has not yet been simulated.

Highlights

  • Musical instruments are categorized based on criteria that depend on the excitation mechanisms

  • In terms of drive mechanisms, musical instruments of the symphony orchestra in the Western European tradition are classified into string instruments, wind instruments and percussion instruments [1]

  • Modal analysis of musical instruments is the study of their dynamic properties under vibrational excitation

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Summary

Introduction

Musical instruments are categorized based on criteria that depend on the excitation mechanisms. These mechanisms have an important influence on the spectra of the sounds. This review is focused on the stringed instruments which produce sound from vibrating strings when a performer plays the strings in some manner. String instruments are complex mechanical vibrating systems, in terms of both structure and the fluid–structure interaction [2]. The vibration of the air cavity and the main body of the instrument is the main source of the produced sound, while the string excitation alone has a negligible role in the produced sound.

Modal Analysis
Numerical Methods
FEM Studies on Soundboards of String Musical Instruments
Bowed Stringed Musical Instruments
Findings
Plucked Musical Instruments
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