Fluid Response to Plate Impact.

Abstract

A theoretical means of obtaining the pressure field between two infinite elastic plates one of which is excited by periodic pulses applied at a point is developed. The Timoshenko-Mindlin plate equation, which includes the effects of rotatory inertia and shear deformation, is used to describe the motion of each of the plates. The fluid between the plates is assumed to be compressible and inviscid and is described by the fluid wave equation. The solution is obtained by use of Hankel transforms. The inverse Hankel transform is obtained by numerical integration and by an approximation using the method of steepest descent. Satisfactory agreement between the two sets of results were found for pulse lengths on the order of ten microseconds. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0748340

Entities

People

  • John R. Easter

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Agreements
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Microsecond Time
  • Numerical Integration
  • Partial Differential Equations
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Structural Dynamics.