The Micro-Perforated Plate (MPP) is widely used in the noise control field with advantages
of high temperature resistance and being suitable for high-speed flow fields. In this paper,
an analytical model of the three-dimensional thermoacoustic coupling system suppressed by
the MPP is established through the energy principle and Rayleigh-Ritz method. A modified
Fourier series will be applied to characterize the sound pressure distribution function to meet
arbitrary impedance boundary conditions. Based on the sound intensity and divergence, the
energy transmission path and distribution law of energy sources and traps are analyzed. The
suppression mechanism of a MPP on the thermoacoustic instability is revealed.
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