M. Bruneau et Am. Bruneau, DYNAMIC BEHAVIOR OF A THIN FLUID LAYER CO UPLED TO A MEMBRANE, Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre, 317(12), 1993, pp. 1543-1548
The forced vibrations of membranes (or plates), driven by an external
source (here an incident acoustic pressure held), backed by a very thi
n layer of fluid and a rigid plane wall, and surrounded by a reservoir
around its periphery, is considered. The ''exact'' statement of the p
roblem is obtained by taking into account effects of heat conduction,
bulk and shear viscosity, impedance of the reservoir, and so on, avoid
ing the approximations currently in use which do not remain valid for
miniaturized transducers, if good results are expected.