Abstract

Full interaction between structural and fluid domains must be considered for light structures immersed in heavy fluid (e.g. thin steel shells in water). The structural-acoustic design sensitivity analysis provides information on the effect of the design variable on acoustic performance, which makes it a key step for noise control and structural-acoustic optimization. This study uses the finite element method (FEM) to model the structure domain, while the fast multipole boundary element method (BEM) is applied to the exterior acoustic domain. An adjoint operator approach is developed to calculate the sensitivity of the radiated sound power with respect to the design variables, which can be any structural or fluid parameter (e.g. fluid or structural density, Poisson’s ratio, Young’s modulus, and geometric measures). Numerical examples are presented to demonstrate the validity and efficiency of the proposed algorithm.

Highlights

  • Passive noise control by modification of structure geometry moves more and more into the field of vision for designers

  • The real part of the complex sound power is radiated into the acoustic far field, whereas the imaginary part only contributes to the evanescent near field

  • This study presents an effective algorithm for computing the sound power sensitivity of fully coupled structural-acoustic systems

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Summary

Introduction

Passive noise control by modification of structure geometry moves more and more into the field of vision for designers. The analytic sensitivity analysis as a direct differentiation method has been applied to structural-acoustic problems for elastic structures immersed in heavy fluid.[7,8] the efficiency of this method reduces significantly when many design variables are taken into account concurrently. To address this problem, the adjoint approach is considered, which has been applied to structural-acoustic problems in weak coupling.[9,10]

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