B. Laulagnet et Jl. Guyader, SOUND RADIATION FROM FINITE CYLINDRICAL-SHELLS, PARTIALLY COVERED WITH LONGITUDINAL STRIPS OF COMPLIANT LAYER, Journal of sound and vibration, 186(5), 1995, pp. 723-742
A vibro-acoustic model of a finite cylindrical shell partially covered
with a compliant material layer is presented. The finite shell is ter
minated by a cylindrical rigid baffle and is covered by strips of comp
liant material lying parallel to the shell axis. The support shell mot
ion is obtained by using Flugge's operator and the layer is taken to b
e a locally reacting material having dissipative properties but withou
t thickness. The whole system is excited by mean of a harmonic driving
force applied to the supporting shell. In the infinite exterior mediu
m, the acoustic pressure satisfies the Helmholtz equation. The acousti
c pressure and the shell displacement are expanded in the eigenfunctio
ns of the finite, non-covered, in vacuo, cylindrical shell. This leads
to the construction of linear systems whose unknowns are the modal am
plitudes of the pressure and of the shell displacement. If the cross-s
ection of the partially covered shell has a plane of symmetry, the lin
ear system splits into two independent, symmetric and antisymmetric pa
rts. Nevertheless, each system displays coupling of circumferential or
der, meaning that the problem is no longer axisymmetric, as the totall
y covered problem was. Numerical results concerning acoustic radiation
in water (radiated power) and shell vibration (radial quadratic veloc
ity of the shell) are presented. They exhibit a surprising influence o
f the partial covering of a shell by a compliant layer: namely, that p
artially covering a shell in water can considerably increase the radia
tion compared to that from the bare cylinder, in a frequency range loc
ated well below the coincidence frequency. (C) 1995 Academic Press Lim
ited