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Modal active control of Chinese gongs.

Marguerite Jossic1, Adrien Mamou-Mani2, Baptiste Chomette1

  • 1Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7190 Institut Jean Le Rond d'Alembert, F-75005 Paris, France.

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Active control of the xiaoluo gong (Chinese percussion instrument) showed it could influence sound properties by damping vibrations. However, it did not alter the pitch glide phenomenon at large amplitudes.

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Area of Science:

  • Acoustics
  • Musical Instrument Physics
  • Nonlinear Dynamics

Background:

  • Gong family instruments, like the xiaoluo gong, exhibit nonlinear dynamics at high vibration amplitudes.
  • This nonlinear behavior causes pitch glide, harmonic distortion, and internal resonances in the xiaoluo gong.

Purpose of the Study:

  • To investigate the application of linear modal active control on a xiaoluo gong.
  • To determine if active control can modify the instrument's sound properties, specifically addressing nonlinear phenomena.

Main Methods:

  • Linear modal damping control was applied to the fundamental mode of the xiaoluo gong.
  • Control was tested in both small amplitude (no pitch glide) and large amplitude (with pitch glide) regimes.
  • System identification and state-space controller design were used.

Main Results:

  • Modal control affected the fundamental mode and influenced frequency components related to distortion and internal resonances in the small amplitude regime.
  • In the large amplitude regime, modal control did not alter the pitch glide phenomenon.
  • The controller's effectiveness in the large amplitude regime was triggered by the instantaneous frequency.

Conclusions:

  • Linear modal active control can influence certain sound properties of the xiaoluo gong, particularly in the absence of significant nonlinear effects.
  • The pitch glide, a key nonlinear characteristic at large amplitudes, remains unaffected by this control strategy.
  • Further research may be needed to develop control methods that can address complex nonlinear phenomena like pitch glide in musical instruments.