Three-dimensional elasticity model for a decoupling coating on a rectangular plate immersed in a heavy fluid

Abstract

This paper presents an analysis of the vibroacoustic response of a finite, simply supported rectangular plate covered by a layer of decoupling material and immersed in a heavy fluid. An exact formulation using the three-dimensional theory of elasticity for the decoupling material is derived for this problem, thereby extending previous studies that were limited to infinite plates. The paper details the constitutive equations of the problem and the analytical method of solution. Numerical results show that shear waves in the decoupling material generally have little influence on the sound radiation in the heavy fluid. Comparisons with a locally reacting model of the decoupling material and with the simple model of House [Proc. I.O.A. 13(3), 166-173 (1991)] are also presented.

An exact elasticity model for rib-stiffened plates covered by decoupling acoustic coating layers

“…The familiar coincidence frequency for the considered structure is approximately located between 4000 Hz and 5000 Hz. While the first-order standing wave resonance in the acoustic coating layer approximately occurs at 9800 Hz, higher order standing wave resonances occur far beyond the frequency range of interest here [11]. Fig.…”

“…Early researches on the vibroacoustic problems of the decoupling coated structures usually employed the locally reacting model [8][9][10][11], which assumed that the decoupling acoustic coating layer behaved as evenly distributed massless springs on the structure. As a progress of theoretical modeling, the elasticity theory is introduced to more accurately account for the dynamics of the decoupling acoustic coating layer and the backing elastic plate.…”

Underwater sound radiation from an elastically coated plate with a discontinuity introduced by a signal conditioning plate

“…7,8 The coating is usually acoustically soft and decouples the fluid in contact with the coating from motion in the base structure.…”

Multi-focus design of underwater noise control linings based on finite element analysis

“…Then, Easwaran and Munjal [10] presented a 3D FEM based analysis for these resonator linings. Recently Berry et al [11] have used a 3D elasticity model to analyze the transmission of sound waves through such linings without any air channels under the influence of a heavy fluid.…”