Abstract
As a part of the Pennsylvania State University research program on the effect of a moving boundary on the sound field in reverberation chambers, a theoretical model consisting of a parallelopiped with one wall oscillating at large amplitude has been developed. In this paper, the first part of the study is presented. Equations for the reflection of the plane monochromatic wave (ω0) perpendicularly incidenting on an oscillating wall (Ω) using transformation of the coordinate system in the moving wall were derived. The reflected wave has a line spectrum represented by ∑ n=−∞∝ An exp{− i [(ω0 ± nΩ) − ky]}. The method of calculating An is presented. A further step consists of a study of the sound field in a finite-length duct, with one termination oscillating at large amplitudes and the other reflective.
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