A substantial quantity of research on muffler design has been restricted to a low frequency range using
the plane wave theory. Based on this theory, which is a one-dimensional wave, no higher order wave
has been considered. This has resulted in underestimating acoustical performances at higher frequencies
when doing muffler analysis via the plane wave model. To overcome the above drawbacks, researchers
have assessed a three-dimensional wave propagating for a simple expansion chamber muffler. Therefore,
the acoustic effect of a higher order wave (a high frequency wave) is considered here. Unfortunately, there
has been scant research on expansion chamber mufflers equipped with baffle plates that enhance noise
elimination using a higher-order-mode analysis. Also, space-constrained conditions of industrial muffler
designs have never been properly addressed. So, in order to improve the acoustical performance of an
expansion chamber muffler within a constrained space, the optimization of an expansion chamber muffler
hybridized with multiple baffle plates will be assessed.
In this paper, the acoustical model of the expansion chamber muffler will be established by assuming
that it is a rigid rectangular tube driven by a piston along the tube wall. Using an eigenfunction (higher-
order-mode analysis), a four-pole system matrix for evaluating acoustic performance (STL) is derived.
To improve the acoustic performance of the expansion chamber muffler, three kinds of expansion chamber
mufflers (KA-KC) with different acoustic mechanisms are introduced and optimized for a targeted tone
using a genetic algorithm (GA). Before the optimization process is performed, the higher-order-mode
mathematical models of three expansion chamber mufflers (A-C) with various allocations of inlets/outlets
and various chambers are also confirmed for accuracy. Results reveal that the STL of the expansion
chamber mufflers at the targeted tone has been largely improved and the acoustic performance of a reverse
expansion chamber muffler is more efficient than that of a straight expansion chamber muffler. Moreover,
the STL of the expansion chamber mufflers will increase as the number of the chambers that separate
with baffles increases.
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