A Physical Model for Plate Reverberation

In this article, a digital plate reverberation algorithm is presented, based on a direct numerical simulation of the equations of motion of a thin linear plate of Kirchhoff type. While such an algorithm will be more expensive, computationally, than digital filter-based algorithms, the resulting algorithm allows far more flexible control on the part of the user, in that the defining parameters have physical significance (i.e., they are related directly to material and geometry of the plate itself). A partial differential equation model is presented, followed by a discussion of a finite difference scheme, which is then specialized to the case of plate reverberation; numerical simulation results are presented