Damping models for the sound synthesis of bar-like instruments
Résumé
In this paper, a study on the simulation of damping phenomena in the equation of bars is presented. First, the deflection waves model in a bar for ideal boundary conditions (free bar) is described, and the damping models (fluid damping, stuctural damping) are introduced. Then, a modal analysis allows to discuss the effects of the various parameters of damping and to write the analytical solution of the problem. Finally, numerical simulations are made with the aim of illustrating the various theoretical effects by relevant sound synthesis: physical orders of magnitude are given and a qualitative sound study is made.