Structure-borne noise reduction for an infinite cylindrical shell (theory of elasticity)

A theoretical model was developed to evaluate the reduction of structure-borne noise generated by an axially symmetric ring force which is applied on the interior of the cylindrical shell. The vibrating cylindrical shell is coated with a microvoided elastomer that is acousically soft material designed for the reduction of the generated noise. The analytical model is a two-layer shell structure comprised of an outer layer of coating that is perfectly bonded to a cylindrical shell. The outer surface of the coating and the inner surface of the shell are in contact with water and air, respectively. The analysis for this problem is based on the theory of elasticity and pertinent boundary conditions. Effects of various parameters such as coating thickness and material properties on the noise reductions are presented.