Far-Field Pressures from Doubly Periodic Three-Dimensional Elastic Panels

Abstract

We present an analysis and algorithm to calculate the scattered and transmitted far-field pressures for fluid-loaded doubly periodic elastic panels forced by a planar acoustic wave at an arbitrary angle of incidence. The elastic panels are of infinite extent and can have complex internal structures. The fluid-loaded structural response of a single unit cell is determined using the STARS3D finite element solver with periodic boundary conditions and the use of perfectly matched layers (PML) for the truncation of the semi-infinite fluid domains. The far-field pressure is a posteriori calculated by projecting the transverse motion of the wet surface of the unit cell with a simple Fourier analysis. As a result of the infinite periodicity of the configuration, the far-field pressures are represented as a summation of the finite set of radiating modes. Radiation fields for single and multilayered elastic layers with and without internal structures are shown to agree with analytical and numerical solutions.

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Document Details

Document Type
Technical Report
Publication Date
May 03, 2021
Accession Number
AD1131737

Entities

People

  • David Raudales
  • Mauricio Villa
  • Saikat Dey
  • Zachary Waters

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Acoustic Metamaterials
  • Acoustic Waves
  • Acoustics
  • Applied Mechanics
  • Computational Fluid Dynamics
  • Elastic Waves
  • Far Field
  • Fourier Analysis
  • Fourier Series
  • Frequency
  • Geometry
  • Materials
  • Materials Science
  • Mechanics
  • Military Research
  • Near Field
  • Numerical Analysis
  • Radiation
  • Scattering
  • Three Dimensional
  • Ultrasounds
  • Vibration
  • Waves

Fields of Study

  • Physics

Readers

  • Acoustics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Nanofabrication and Microfabrication.