Diffraction of Pulses by Cylindrical Obstacles of Arbitrary Cross Section

[+] Author and Article Information
M. B. Friedman

Institute of Flight Structures, Columbia University, New York, N. Y.

R. Shaw

Pratt Institute, Brooklyn, N. Y.

J. Appl. Mech 29(1), 40-46 (Mar 01, 1962) (7 pages) doi:10.1115/1.3636495 History: Received December 06, 1960; Online September 16, 2011


The two-dimensional problem of the diffraction of a plane acoustic shock wave by a cylindrical obstacle of arbitrary cross section is considered. An integral equation for the surface values of the pressure is formulated. A major portion of the solution is shown to be contributed by terms in the integral equation which can be evaluated explicitly for a given cross section. The remaining contribution is approximated by a set of successive, nonsimultaneous algebraic equations which are easily solved for a given geometry. The case of a square box with rigid boundaries is solved in this manner for a period of one transit time. The accuracy achieved by the method is indicated by comparison with known analytical solutions for certain special geometries.

Copyright © 1962 by ASME
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