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Wednesday, July 10 • 15:30 - 15:50
PHYSICAL MODELING IN SOUND SYNTHESIS: VIBRATING PLATES

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Physical modeling leads to efficient and scalable simulation algorithms in the discrete time domain, which are used in real-time music applications. Many percussive instruments are physically described by Kirchhoff's thin plate equation. Considering a complete system, e.g. the single plates of a xylophone, the oscillation behavior can be described by a partial differential equation and the connection to the suspension by a set of boundary conditions. Problems described like that are known as initial-boundary value problems and can be modeled by an expansion into a suitable set of eigenfunctions. The solution is formulated in terms of a multi-dimensional state-space description in a spatio-temporal transform domain, which proves to be helpful for the incorporation of complex boundary conditions. The results of the model are validated by simulations of the plate deflection.

Moderators
TH

Thomas Hélie

Dr., CNRS, STMS Lab (IRCAM-CNRS-SU)

Authors

Wednesday July 10, 2019 15:30 - 15:50 EDT
Westmount 5
  T14 Musical acoustic, SS01 Vibroac of musical instrum