论文信息 - Study of a folded resonator including the effects of higher order modes

Study of a folded resonator including the effects of higher order modes

This paper presents a derivation of the 2-port matrix for a folded quarter-wave side-branch resonator including higher order modes but neglecting flow interaction effects. The model is restricted to coaxial geometries and two-folds. The derivation is based on the mode matching technique and is verified by measurements done on prototypes. A notable result from these experiments is the effects of a slit-like leakage close to a rigid wall. A parametrical study finally investigates the influence of various lengths and area ratios of the resonator resulting in a set of design rules.

Ragnar Glav | Mats Åbom | Pierre-Luc Regaud

[1] H. Hudde,et al. Scattering matrix of a discontinuity with a nonrigid wall in a lossless circular duct , 1985 .

[2] Mats Åbom,et al. Measurement of the scattering-matrix of acoustical two-ports , 1991 .

[3] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .

[4] A. Cummings. Sound transmission in a folded annular duct , 1975 .

[5] Mats Åbom,et al. Derivation of four-pole parameters including higher order mode effects for expansion chamber mufflers with extended inlet and outlet , 1990 .

[6] J.-P Dalmont,et al. New lattices of sound tubes with harmonically related eigenfrequencies , 2014 .