Jb. Fahnline et Gh. Koopmann, DESIGN FOR A HIGH-EFFICIENCY SOUND SOURCE BASED ON CONSTRAINED OPTIMIZATION PROCEDURES, Acoustical physics, 41(5), 1995, pp. 700-706
In this paper, optimal control theory is applied to the problem of max
imizing the power-conversion efficiency of a circular source in an inf
inite baffle. The first section of the paper is devoted to demonstrati
ng that constrained optimization procedures, when applied to a circula
r source undergoing centrally symmetric vibrations, yield a solution f
or a transverse velocity profile which maximizes the radiation efficie
ncy of the source at a specific frequency. The velocity distributions
that produce the maximum possible radiation efficiency of a circular r
egion are shown for several frequencies. In the second section of the
paper, it is shown that the velocity profiles corresponding to the eig
enfunctions of a circular plate of uniform thickness fortuitously prod
uce the maximum possible radiation efficiency a certain frequencies. F
inally, the power-conversion efficiency of the circular plate is optim
ized by properly choosing the material properties and dimensions of th
e plate such that the eigenfrequency of the first centrally symmetric
resonance of the plate corresponds to the frequency where the plate ra
diates acoustic energy the most efficiently. It is hoped that the meth
odology will prove effective in designing high intensity sound sources
.