A theoretical model is established to study the direct transmission of
sound through a finite cylindrical double shell. Shells comply with D
ONNELLS's equations and the theory include constantly spaced stiffener
s in axial and circumferential directions. However this is limited in
the case of large number of stiffeners. The acoustical excitation is a
plane wave located in an infinite medium outside the shell. The two i
nternal media are homogeneous. Absorption is taken into consideration
by a complex wave number. The fluid structure coupling is exactly mode
lised and mechanical links between shells are constant distributed sti
ffness along circumferential lines. The solution of the equations is o
btained by a modal method. Numerical results show the comparison betwe
en structural linkage and air gap effects on the transmission of sound
inside the inner cavity.