CHAIGNE, Antoine; CHABASSIER, Juliette; DURUFLÉ, Marc

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CHABASSIER, Juliette
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]

DURUFLÉ, Marc
Institut de Mathématiques de Bordeaux [IMB]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]

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Communication dans un congrès

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Proceedings of Vienna Talk on Music Acoustics, Proceedings of Vienna Talk on Music Acoustics, Vienna Talk on Music Acoustics, 2015-09-16, Vienna.

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The leading idea of this theoretical paper is to examine the effects of structural changes in the piano on the basis of energetic quantities relative to its constitutive parts. These energies are global quantities which characterize the intrinsic properties of the instrument, irrespective of the observation point. The evolution of the various energy terms with time are calculated with a help of a recent piano model which couples together the hammer, the nonlinear strings, the soundboard and the acoustic space [1]. Some parameters, which play a major role in the history of the piano are particularly examined: string tension and diameter, soundboard thickness and rigidity, hammer mass and velocity. The results show that direct links can be established between the energetic quantities and the tonal properties of the piano sounds, in terms of temporal envelope and spectral content. They also shed useful light on the energy exchange between the constitutive parts of the instrument, and on its acous-tical efficiency. This study is intended to have potential applications as a theoretical guideline for piano making, restoration and reproduction of historic instruments.< Réduire

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Energy analysis of structural changes in pianos

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Résumé en anglais

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