Sound production by a vibrating piano soundboard: Theory
Minghui Jiang, Nicholas J. Giordano · The Journal of the Acoustical Society of America · 1999
We describe a theoretical study of the sound generated by a piano soundboard. The soundboard model, which is similar to that developed recently by our group, is driven harmonically at a point on one of the bridges, and the resulting vibrational motion obtained by numerical solution. This soundboard is situated in a numerical room, and the resulting room pressure is calculated with two different methods. In one approach the pressure throughout the room is obtained by solution of the appropriate coupled equations for the air pressure and velocity. In the other treatment every point on the soundboard is treated as a simple source, each of which contributes to the pressure at a specified listening location. The results of these two approaches are compared to each other, and to recent experiments by our group. [Work supported by NSF Grant PHY-9722031.]