An analytical method is applied to predict the acoustic attenuation performance of expansion chambers with continuously varying cross-sectional area. A feature of the present method is the use of spherical coordinates whose origin is at the top of the cone that is tangent to the wall of the expansion chamber. By this means, the characteristic functions can be analytically determined despite the non-uniform geometry of the expansion chamber. Using the Galerkin method, a variational principle is transformed into linear algebraic equations that are solved to determine the transmission coefficient of the expansion chamber. Numerical results are provided for the case where broadband noise attenuation is achieved.
An Analytical Method for Expansion Chambers With Continuously Varying Cross-Sectional Area
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 2002; Revised Oct. 2003. Associate Editor: J. H. Ginsberg.
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Utsumi, M. (May 4, 2004). "An Analytical Method for Expansion Chambers With Continuously Varying Cross-Sectional Area ." ASME. J. Vib. Acoust. April 2004; 126(2): 173–183. https://doi.org/10.1115/1.1687400
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