Dynamic Response of a Fluid-Loaded Plate Containing Periodic Masses

Abstract

This report derives the equations of motion of a fluid-loaded thin plate that contains periodically spaced embedded masses and is insonified by a harmonic plane wave. The thin plate equations of motion are coupled to the fluid and to the embedded masses and analyzed to determine the displacement field in the wave number-frequency domain. The masses of the periodic discontinuities are then varied to study their influence on the system dynamics. The formulation is then expanded to Timoshenko-Mindlin equations of motion, so that additional plate dynamics can be exhibited and understood. The problem is then posed using thick plate theory and the finite-element method to generate numerical solutions. Finally, thick plate equations of motion that contain bottom attached masses are formulated and presented.

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Document Details

Document Type
Technical Report
Publication Date
Mar 31, 2005
Accession Number
ADA434617

Entities

People

  • Andrew John Hull

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Differential Equations
  • Displacement
  • Dynamic Response
  • Dynamics
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Frequency
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Plane Waves
  • Shear Modulus
  • Standards
  • Wave Equations
  • Waves

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.

Technology Areas

  • Space