An Exact Analytical Expression of the Shear Coefficient in the Mindlin Plate Equation

Abstract

This report derives an exact analytical expression of the shear coefficient in the Mindlin plate equation. The Mindlin plate equation is set equal to the thick plate equation, and the result is a closed-form expression of the shear coefficient at all wavenumbers and frequencies. A numerical example is included to show the variation of the shear coefficient. It is shown that the shear coefficient is extremely dependent on wavenumber and only slightly dependent on frequency. Shear coefficients derived in other work are compared favorably to the values calculated by this new method at the plate flexural wave response.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 29, 2004
Accession Number
ADA428107

Entities

People

  • Andrew John Hull

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Active Sonar
  • Autonomous Systems
  • Cartesian Coordinates
  • Coefficients
  • Displacement
  • Equations
  • Excitation
  • Frequency
  • Information Operations
  • Long Wavelengths
  • Mathematics
  • Military Research
  • Modulus Of Elasticity
  • Shear Modulus
  • Undersea Warfare
  • Wave Propagation
  • Waves

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.