Numerical acoustic radiation prediction schemes have developed to the point where they can be used to reliably predict the acoustic response of a vibrating structure. However, the objective of many of the applications of these techniques is the design of a best structural/acoustic configuration for a given application. Thus, the acoustic radiation prediction scheme must be incorporated into a design methodology. Traditionally, the most difficult design variables to incorporate into numerical prediction schemes have been those which define the geometry of the configuration, normally referred to as shape variables. In this investigation, a technique for computing the design sensitivity of the radiated pressure solution to shape variables is formulated and verified. The method uses a boundary element implementation of the Helmholtz integral equation. The potential problems at the characteristic nonuniqueness frequencies of the Helmholtz integral equation are also addressed. The technique is verified for several pulsating sphere examples where analytical solutions are available.
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January 1992
Research Papers
Computation of Acoustic Shape Design Sensitivity Using a Boundary Element Method
D. C. Smith,
D. C. Smith
Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907
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R. J. Bernhard
R. J. Bernhard
Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907
Search for other works by this author on:
D. C. Smith
Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907
R. J. Bernhard
Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907
J. Vib. Acoust. Jan 1992, 114(1): 127-132 (6 pages)
Published Online: January 1, 1992
Article history
Received:
April 1, 1989
Online:
June 17, 2008
Citation
Smith, D. C., and Bernhard, R. J. (January 1, 1992). "Computation of Acoustic Shape Design Sensitivity Using a Boundary Element Method." ASME. J. Vib. Acoust. January 1992; 114(1): 127–132. https://doi.org/10.1115/1.2930226
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