A Reduced-Order Model of a Fluid-Loaded, Elastomeric-Coated Metallic Plate

Abstract

This report derives and analyzes a reduced-order model of a fluid-loaded, elastomeric-coated metallic plate. First, a full-order model of the system is derived using thick plate theory for both the elastomeric coating and the metallic plate. This results in open-form equations of the displacement and stress fields. Next, a reduced-order model is derived by changing the modeling theory of the metallic plate from plate equations to discrete mass equations, which results in a four-by-four system matrix. This new matrix can be symbolically inverted to yield closed-form solutions at every frequency and wavenumber. This closed-formed model is more desirable than the open-form model because the interaction of the physical constants in the stress and displacement fields is explicit. The reduced-order model is graphically compared to the full-order model, indicating that the reduced-order model is an accurate representation of the full-order model.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2004
Accession Number
ADA421338

Entities

People

  • Andrew John Hull

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Weapons Technologies

DTIC Thesaurus Topics

  • Autonomous Systems
  • Boundaries
  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Displacement
  • Elastic Waves
  • Equations
  • Excitation
  • Frequency
  • Materials
  • Shear Stresses
  • Three Dimensional
  • Transfer Functions
  • Two Dimensional
  • Undersea Warfare
  • Waves

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Dynamics.