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A Three-Dimensional Wiener-Hopf Technique for General Bodies of Revolution: Part 2—Numerical Results

[+] Author Affiliations
Rudolph Martinez, Brent S. Paul, Morgan Eash, Carina Ting

Alion Science and Technology Corporation, Mystic, CT

Paper No. IMECE2009-13366, pp. 81-92; 12 pages
doi:10.1115/IMECE2009-13366
From:
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 15: Sound, Vibration and Design
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4388-8 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME

abstract

This study numerically demonstrates a new Wiener-Hopf technique for a generic family of straight finite cylinders capped by hemispheres [1]. The approach uses a three-dimensional Wiener-Hopf technique with Fourier transforms to calculate the radiated noise. A discussion of validity of the solution method through an energy conservation analysis is included. All of the cylinders investigated had the same extent of acoustically illuminated (hemispherical) area. Although the structure in the development is general the numerical results presented consider only locally reacting surfaces with uniform properties in a mass-controlled sense. The calculations are actually the result of a zeroth-order version of the theory that becomes increasingly valid with rising values of the basic cylinder’s aspect ratio. Lastly, using a function-splitting procedure we show that the Wiener-Hopf’s canonical essential singularity and square-root branch point generate the Fresnel integral as a fundamental function.

Copyright © 2009 by ASME

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