Impact Response of Structures--Global Local Approach.

Abstract

The response of an isotropic cantilever beam of finite length under the action of frictionless cylindrical and flat indenters is studied. Solutions are obtained through a local-global technique, which accounts for both the local behavior near the indenter, as well as the global beam behavior. The method of analysis superposes an infinite layer solution derived through the use of integral transforms with a pure bending beam theory solution. Local indenter stresses, as well as displacements and rotations are computed for each case and plotted for various ratios of contact width to beam length, and for various positions of the indenter. Where possible, the results are compared to Hertz theory of contact stresses and to beam displacement and rotation solutions. LOW VELOCITY IMPACT ON A CIRCULAR PLATE: An investigation was made on the low velocity impact on a circular plate by a rigid indenter. The plate response to impact shows some of but not all of the similar problem for a beam. The local contact stresses were developed from an elasticity theory, while the global stresses were obtained from plate theory.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1984
Accession Number
ADA168749

Entities

People

  • Leon M. Keer

Organizations

  • Northwestern University

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Cantilever Beams
  • Civil Engineering
  • Elastic Properties
  • Engineering
  • Equations
  • Geometry
  • Integral Equations
  • Integral Transforms
  • Integrals
  • Materials
  • Mechanics
  • Pressure Distribution
  • Shear Modulus
  • Shear Stresses
  • Stresses
  • Thickness
  • Two Dimensional

Readers

  • Structural Dynamics.