Researchers modelled a submarine hull as a cylindrical shell with two cone shells on either end. They converted the displacement components of the cylinder to wave propagation equations and used a point force representation for the propeller as a Fourier series. The goal was to reduce the sound generated in the radial direction from propeller movement both from the propeller itself and vibration and displacement of the hull as a result of the propeller movement.
The researchers proposed an array of 60 commercial off the shelf linear actuators in a ring around the aft cone forward of the propeller.
Caresta, M. (2011) Active control of sound radiated by a submarine in bending vibration. Journal of Sound and Vibration 330 (2011) 615–624.