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Related Concept Videos

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The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
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Related Experiment Video

Updated: Apr 16, 2026

Hemi-laryngeal Setup for Studying Vocal Fold Vibration in Three Dimensions
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A violin shell model: vibrational modes and acoustics.

Colin E Gough1

  • 1School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, United Kingdom.

The Journal of the Acoustical Society of America
|March 20, 2015
PubMed
Summary
This summary is machine-generated.

A physical model reveals a single "breathing" mode in violin acoustics is key to sound radiation below 1 kHz. This finding applies to the entire violin family, aiding instrument design.

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Area of Science:

  • * Physics
  • * Acoustics
  • * Musical Instrument Design

Background:

  • * The violin's complex sound production involves intricate vibro-acoustic modes.
  • * Understanding these modes is crucial for instrument analysis and optimization.

Purpose of the Study:

  • * To develop a generic physical model for violin vibro-acoustic modes.
  • * To identify the primary mode responsible for sound radiation below 1 kHz.
  • * To analyze the influence of various physical parameters on these modes.

Main Methods:

  • * Modeled the violin body as a shallow, thin-walled, guitar-shaped box structure.
  • * Utilized COMSOL finite element software to analyze shell structure vibrations.
  • * Investigated the coupling between plate modes and the assembled body shell modes.

Main Results:

  • * Identified a dominant "breathing" mode responsible for most sound radiation below 1 kHz.
  • * Demonstrated the significant role of this mode in exciting Helmholtz resonance via f-holes.
  • * Showcased the impact of material properties, arching, plate thickness, and internal components (f-holes, bass-bar, soundpost) on modal behavior.

Conclusions:

  • * The identified "breathing" mode is critical for low-frequency sound radiation in violins.
  • * The developed model is applicable to the entire violin family due to body symmetry.
  • * Findings offer insights for optimizing the acoustic performance of string instruments.