Scattering of Flexural Waves by Cavities in a Plate

Abstract

In this reprint, the scattering of slow flexural waves by arbitrary shaped cavities in an infinite elastic plate is studied using a combined finite element and analytical method. The problem is considered as consisting of two interacting systems, a bounded interior region containing all material and geometric irregularities, and an unbounded exterior region. The interior region is modelled by using Mindlin type plate bending elements. Wave function expansion is used to represent the exterior region. Continuity of displacements and tractions are enforced at the nodes on the finite element interface with the exterior region. Comparison of present results for circular cavity with the analytical solution shows excellent agreement. Finally, scattering by triangular and square shaped cavities as well as a pair of circular cavities is considered. (jhd)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1989
Accession Number
ADA225079

Entities

People

  • A. H. Shah
  • R. Paskaramoorthy
  • S. K. Datta

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Cartesian Coordinates
  • Coordinate Systems
  • Elastic Waves
  • Engineering
  • Equations
  • Finite Element Analysis
  • Frequency
  • Geometry
  • Materials
  • Mechanical Engineering
  • Modulus Of Elasticity
  • Scattering
  • Secondary Waves
  • Wave Functions
  • Wave Propagation
  • Waves

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Plasma Physics / Magnetohydrodynamics