Modeling of functioning of a functionally gradient transversally isotropic hydroacoustic coating on a rigid vibrating body wall

A numerical and analytical technique is presented for the computational analysis of the performance indicators of a functionally gradient transversally isotropic flat single-layer hydroacoustic coating with a variable exponential transverse inhomogeneity index, fixed along one of the boundary surfaces without slippage with an ideal contact on a rigid vibrating body wall and contacting on the opposite surface with a half-space of an ideal slightly compressible fluid. In addition to the vibrations of the housing surface, the model takes into account the impact of a plane hydroacoustic pressure wave normally incident on the contact boundary of the coating and the liquid, and the evaluation of the effectiveness of the coating is based on the analysis of the cumulative intensity of the pressure wave emitted by the surface of the coating contact with the liquid under these complex influences. An example of calculations using the described technique is considered, within the framework of which estimates are obtained for the values of the inhomogeneity parameter that ensure the most effective functioning of the coating in various frequency ranges of the effects under consideration.