The Study of Soundproof Properties of a Three-Layer Plate under the Influence of a Plane Wave

The authors study the soundproof properties of an infinite plate surrounded on two sides by acoustic environments under the effect of a plane harmonic wave. The plate has a complex three-layer structure where the bearing layers are isotropic elastic, and the filler is orthotropic, with honeycomb configuration. To describe the plate motion, new refined equations are used that take into account geometrical parameters of the plate, compression and shear of the filler layers. To solve the problem, the exponential Fourier transform is applied, which yields an expression for determining the pressure amplitude of a wave transmitted through the barrier. The connection between kinematic parameters of the plate and the amplitudes of the incoming and outgoing waves is established considering an auxiliary problem of wave radiation from the half-space boundary. A parametric algorithm is presented for modelling the process of oscillation absorption by an infinite three-layer plate under the effect of a plane incoming wave where the parameters are physical and mechanical properties of the three-layer plate materials and the acoustic environments as well as geometrical parameters of the bearing layers and the filler. Examples of the calculations are given.

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