Abstract
This paper deals with the computation of the four-poles parameter of a thin elliptic cylinder in which the output is fitted to the side that is perpendicular to the input side. The four-poles parameter is based on the sound pressure calculated by solving the wave equations, with the assumption that the loss can be ignored. The four-poles parameter is widely used to estimate the noise characteristic for the acoustic system which are composed of several elements of various cross-sectional areas, various shape connected in series.
Highlights
Analysis based on the wave equation is the most effective method for determining the characteristics of an acoustic system [1]-[12]
From the general solution of the wave equation, the sound pressure propagating inside the analysis model can be obtained by applying the boundary conditions
A derivation of the four-poles parameter for the elliptical cavity having an output on the body has been presented by solving the wave equation on the assumption that the loss at the wall can be neglected
Summary
Analysis based on the wave equation is the most effective method for determining the characteristics of an acoustic system [1]-[12]. From the general solution of the wave equation, the sound pressure propagating inside the analysis model can be obtained by applying the boundary conditions. The input and output sound pressure could be obtained related to these volume velocities. The transfer matrix comprised of the four-poles parameters characterizing the relationship between the upstream and downstream pressure and velocities is widely used in the analysis and design of silencing systems [13]-[16].
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