Derivation of Transfer Functions for a Fluid-Loaded, Multiple-Layer Thick Plate System

Abstract

Transfer functions are mathematical expressions that relate two physical quantities of a system. When applied to mechanical systems, transfer functions model energy propagation through the medium of a structure. These transfer functions are useful in understanding system behavior, and they sometimes can be verified by measurements at different locations in the structure. This report derives six mathematical transfer functions of various thick plate systems. The equations of motion and stress are derived for one, two, and three thick plates with and without fluid loading on one surface. These models are validated with comparisons to thin plate equations of motion using very small plate thicknesses.

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Document Details

Document Type
Technical Report
Publication Date
Sep 15, 2000
Accession Number
ADA384400

Entities

People

  • Andrew John Hull

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Frequency
  • Geometry
  • Linear Systems
  • Modulus Of Elasticity
  • Shear Modulus
  • Structural Loads
  • Thickness
  • Three Dimensional
  • Transfer Functions
  • Two Dimensional
  • Undersea Warfare

Readers

  • Control Systems Engineering.
  • Structural Dynamics.