Elastic Plate Vibrations by Boundary Integral Equations. Part 1. Infinite Phase.

Abstract

One of the prime difficulties in developing two dimensional dynamic elastic plate theories from the three dimensional equations of elasticity is the choice of functional dependence on the thickness coordinate. This difficulty may be circumvented by formulating the problem first as a boundary integral equation; then the dependence on the independent variable through the plate thickness follows form as a direct quadrature with no assumptions of functional form required. In particular, the examination of separate symmetric and antisymmetric modes allows the boundary integral equation to be written with unknowns evaluated on a single surface. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA089105

Entities

People

  • Richard Paul Shaw

Organizations

  • University at Buffalo

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Differential Equations
  • Elastic Properties
  • Equations
  • Helmholtz Equations
  • Integral Equations
  • Mechanical Properties
  • Partial Differential Equations
  • Physical Properties
  • Structural Mechanics
  • Thickness
  • Three Dimensional
  • Two Dimensional
  • Vibration
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Structural Dynamics.
  • Theoretical Analysis.