Contrôle actif et non-linéarités géométriques: le cas du gong xiaoluo.

Abstract : At a crossroads between automatics, mechanics and musical acoustics, active control of musical instruments aims at finding methods which would allow to control their acoustic sound in real time. Previous instrumental control studies never acknowledged nonlinear behaviours in musical instruments. However, Chinese opera gongs show various phenomena due to geometrical nonlinearities, among which a specific pitch glide, impacting several of its vibration modes. We propose to address the control of these instruments by reaching three consecutive steps. First, the performances and the limits of modern modal control regarding nonlinear phenomena in the behavior of the gong (harmonic distortion, internal resonances, pitch glide) are highlighted and quantified. The limitations of modal control suggests the development of a reduced order model describing the fundamental mode of the instrument. The nonlinear mode associated with the fundamental mode is characterized and identified experimentally by a method resorting to a Phase Locked Loop (PLL). Finally, the limits of the unimodal approximation describing the fundamental mode in playing condition are highlighted. The interaction between internal resonances and pitch glide phenomena is demonstrated experimentally in free vibration, allowing for the developing of a reduced order model to describe the fundamental mode of the instrument.
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Marguerite Jossic. Contrôle actif et non-linéarités géométriques: le cas du gong xiaoluo.. Mécanique [physics.med-ph]. Université Pierre et Marie Curie (Paris 6), 2017. Français. ⟨tel-01713349⟩

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