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Related Experiment Videos

Wall compliance and violin cavity modes.

George Bissinger1

  • 1East Carolina University, Greenville, North Carolina 27858, USA. bissingerg@mail.ecu.edu

The Journal of the Acoustical Society of America
|March 27, 2003
PubMed
Summary

Violin wall compliance significantly improves acoustic predictions. Adding a compliance correction to a network model accurately forecasts cavity mode frequencies across various violin sizes.

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Area of Science:

  • Acoustics
  • Musical Instrument Physics
  • Vibrational Analysis

Background:

  • Violin corpus wall compliance influences cavity mode frequencies.
  • Existing two-degree-of-freedom (2DOF) network models did not fully account for wall compliance.
  • Previous models predicted a V(-0.25) volume dependence for the A0 mode in rigid cavities.

Purpose of the Study:

  • To incorporate violin corpus wall compliance into a 2DOF network model.
  • To improve the prediction accuracy of cavity mode frequencies (A0, A1, A2, A4).
  • To investigate the effect of compliance on the A1 mode's relationship with the 'main wood' resonance.

Main Methods:

  • A semi-empirical compliance correction term, V(-x(c)), was added to Shaw's 2DOF model.
  • The optimization parameter x(c) was determined by fitting model predictions to experimental A0 and A1 frequencies.
  • Measurements were taken from a Hutchins-Schelleng violin octet spanning a wide range of physical parameters.

Main Results:

  • Optimized compliance parameter x(c) was found to be approximately 0.08.
  • The enhanced model improved A0 and A1 frequency predictions to within +/- 10% of experimental values.
  • Predictions for A2 and A4 modes were improved to within +/- 20% with the inclusion of compliance.

Conclusions:

  • Corpus wall compliance is crucial for accurate acoustic modeling of violins.
  • The model successfully predicts mode frequencies across a wide range of violin sizes and geometries.
  • Compliance offers a plausible explanation for the A1 mode's behavior relative to the 'main wood' resonance in scaled instruments.

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