## 5aMU5. New developments in time-domain modeling of plates for the simulation of string instruments.

### Session: Friday Morning, December 6

### Time: 9:35

**Author: Antoine J. Chaigne**

**Location: ENST, Dept. Signal, CNRS URA 820, 46 rue Barrault, 75634 Paris Cedex 13, France**

**Author: Christophe Lambourg**

**Location: ENST, Dept. Signal, CNRS URA 820, 46 rue Barrault, 75634 Paris Cedex 13, France**

**Abstract:**

Pertinent simulations of string instruments, for the purpose of sound
synthesis or instrument making, require at least three major conditions: a deep
understanding of the physics, accurate measurements of elastic and geometric
properties, and good mathematical properties of the discrete time modeling.
Today, the modeling of complete string instruments appears to be a rather
unrealistic objective. However, one intermediate step consists of a thorough
investigation of the vibrations and radiation of plates, which are essential in
the production of sound by such sources. This presentation will concentrate
first on the development of appropriate damping models for both isotropic and
anisotropic plates, using a generalized viscoelastic formulation, in order to
account for the complex, but clearly audible, influence of frequency-dependent
decay times on timbre of most materials. Other refinements, such as the
time-domain modeling of inhomogeneities, stiffening of plates, and plate--cavity
coupling, which are known to be significant in the physics of string
instruments, will be addressed. Sound examples will be played, highlighting the
results and limits of the state of the art for these current investigations.

ASA 132nd meeting - Hawaii, December 1996