DIFFRACTION OF PULSES BY OBSTACLES OF ARBITRARY SHAPE WITH A ROBIN BOUNDARY CONDITION. PART A. SEMI-RIGID CASE.

Abstract

The potential field and its derivatives (pressure and velocity) resulting from the diffraction of a plane acoustic pulse by an obstacle of arbitrary shape with a Robin boundary condition, is obtained as the solution to an integro-differential equation. The specific geometry of a long cylinder with a square cross section struck longitudinally by a plane pulse is solved for values of the pressure on the scattering surface for the semi-rigid case K > 1. A major portion of the solution is obtained exactly. The remainder involves a numerical approximation of a surface integral by a double summation over specified steps in space and time leading to a weakly coupled set of simultaneous equations at eact time step. Comparison with available exact solutions indicates good agreement. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0636531

Entities

People

  • Richard P. Shaw

Organizations

  • University at Buffalo

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Agreements
  • Boundaries
  • Differential Equations
  • Diffraction
  • Equations
  • Geometry
  • Integrals
  • Scattering
  • Simultaneous Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

Technology Areas

  • Space