Abstract
A general procedure for the analysis of curved or flat, thin two dimensional muffler elements is developed. These thin elements can efficiently utilize the limited space of hermetically sealed compressors or small engine compartments. The two dimensional inhomogenous wave equation is developed in two dimensional curvilinear co-ordinates by the application of Hamilton's principle. Four pole parameters are formulated form the pressure response solutions using the modal series expansion method. The eigenvalues and transfer functions of three types of thin muffler elements connected to an anechoic pipe are given as examples: the flat rectangular box, the thin annular cylindrical shell, and the flat circular box. A verification is made by comparing results for an annular cylindrical muffler element with results obtained from a three-dimensional model; good agreement was achieved as long as the thickness of the muffler element is sufficiently small compared to the wavelength range of interest.
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