Computational Methods for Studying Acoustic Propagation in Nonuniform Waveguides

Author

Roy J. Beckemeyer
Walter Eversman, Missouri University of Science and TechnologyFollow

Abstract

A variational technique is used to model sound transmission through a nonuniform duct segment consisting of an axial variation in wall admittance or cross-sectional area. The method involves the Ritz minimization of functionals that have the governing equations as stationary conditions. The variational method is verified by application to segments of variables-separable geometry, for which eigenfunction expansion techniques offer an alternative solution procedure, and by comparison with the results of stepped-duct approximations to the nonuniformity. Quantitative data are presented which indicate the boundary condition matching to be a suitable measure of the accuracy of the transmitted field.

Recommended Citation

R. J. Beckemeyer and W. Eversman, "Computational Methods for Studying Acoustic Propagation in Nonuniform Waveguides," Progress in Astronautics and Aeronautics, American Institute of Aeronautics and Astronautics (AIAA), Jan 1975.

Department(s)

Mechanical and Aerospace Engineering

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1975 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.

Publication Date

01 Jan 1975