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Sound simulation-based design optimization of brass wind instruments.

Robin Tournemenne1, Jean-François Petiot2, Bastien Talgorn3

  • 1Magique 3D Team, Inria Bordeaux Sud Ouest, 200 avenue de la vieille tour, 33405 Talence Cedex, France.

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Summary
This summary is machine-generated.

This study optimizes brass instrument inner shapes using sound simulations and advanced algorithms. The new method significantly improves instrument performance, offering better intonation and sound spectrum.

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Area of Science:

  • Acoustics
  • Computational physics
  • Mechanical engineering

Background:

  • Optimizing brass instrument acoustics is complex due to numerous design variables.
  • Physics-based simulations are crucial but computationally intensive.
  • Traditional optimization methods struggle with complex objective functions and constraints.

Purpose of the Study:

  • To develop and demonstrate an effective method for optimizing the inner shape of brass instruments.
  • To integrate physics-based sound simulations with advanced optimization techniques.
  • To improve instrument intonation and spectral characteristics through shape optimization.

Main Methods:

  • Utilized a physics-based model incorporating instrument and embouchure physics.
  • Employed the harmonic balance technique to simulate steady sound regimes via input impedance.
  • Applied a surrogate-assisted derivative-free optimization strategy using mesh adaptive direct search.
  • Optimized geometrical dimensions of the resonator, considering embouchure variations.

Main Results:

  • Successfully optimized the inner shape of a B♭ trumpet bore.
  • Achieved significant improvements in objective function values compared to previous studies.
  • Demonstrated the effectiveness of the surrogate-assisted optimization approach for complex acoustic problems.

Conclusions:

  • The proposed method offers a robust approach to optimizing brass instrument design.
  • This technique can lead to enhanced musical instrument performance.
  • Further applications in musical acoustics and instrument design are promising.