IMPACT OF AN ELASTIC WEDGE ON A COMPRESSIBLE FLUID,

Abstract

The impact of an elastic or flexible body on the surface of an inviscid compressible fluid is considered. The pressure and velocity fields generated by the impact are computed by a numerical method based on an integral equation formulation of the problem. Each potential is represented by an integral over unknown source distributions. The boundary conditions in terms of these representations lead to integral equations on these source distributions. A numerical scheme for the solution of these equations is presented and sample computations are carried out for steel and aluminum wedges impacting on water. A simplified model of an elastic wedge impact is also presented in which the elastic body is replaced by a flexible boundary. The results for the flexible boundary impact are compared to those from the more exact formulation. Both cases are also compared to the results for the impact of a rigid wedge which was considered in an earlier investigation. It is found that the rigid wedge diffraction is the primary effect in all the cases considered and that the influence of the elasticity in the cases of aluminum or steel on water is secondary. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1964
Accession Number
AD0612106

Entities

People

  • D. Feit
  • H. Bleich
  • R. Skalak

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Aluminum
  • Boundaries
  • Computations
  • Diffraction
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Mechanical Properties
  • Physical Properties
  • Stratified Fluids

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Structural Dynamics.