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
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In