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Elasto-plastic friction modeling toward reconstructing measured bowed-string transients.

Ewa Matusiak1, Vasileios Chatziioannou1

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This study improved bowed string simulation by refining friction models. Accurate waveform reconstruction was achieved by accounting for friction

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Area of Science:

  • Musical Acoustics
  • Computational Physics
  • Vibrational Dynamics

Background:

  • Simulating bowed string motion is complex due to frictional excitation.
  • Existing physics-based models often simplify bow-hair and friction dynamics.

Purpose of the Study:

  • To compare a detailed physics-based simulation of a bowed string with measured transient behavior.
  • To improve waveform reconstruction accuracy by refining the friction model.

Main Methods:

  • A physics-based simulation incorporating finite bow width, bow-hair compliance, torsional motion, and an elasto-plastic friction model was developed.
  • Simulated Guettler playability diagrams were compared to robot-generated experimental data.
  • Inverse modeling was used to derive friction parameters for improved waveform reconstruction.

Main Results:

  • Qualitative similarity was found between simulated and measured Guettler diagrams, but waveform differences persisted.
  • Inverse modeling successfully improved the reconstruction of individual signal transients.
  • Variable friction coefficients dependent on bow force and acceleration were identified as crucial.

Conclusions:

  • Accurate simulation of bowed string transients requires accounting for complex friction dynamics.
  • The elasto-plastic friction model, when optimized via inverse modeling, can accurately capture measured waveforms.
  • Friction coefficient variability is essential for realistic bowed string modeling.