ダクト音響減衰における吸音壁特性の非線形効果

概要

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The method of singularity is extended to the analysis of high-intensity sound propagation in a two-dimensional duct whose wall is partially treated with a nonlinear acoustic material. The propagation of sound in the gas is assumed to be linear, but the acoustic material is characterized by an empirical nonlinear impedance whose resistance is dependent on the normal acoustic velocity. The problem is reduced to a nonlinear integro-differential equation for the fluid particle displacement at the lined wall surface, which can be solved by a successive approximation method. Numerical examples show that whether the peak sound attenuation rate at the liner resonance frequency is decreased or increased by the nonlinear effect depends upon the linear component of the resistance. The dependence of the attenuation spectrum on modal phase differences of multi-mode incident waves is heavily affected by the nonlinear effect.
一般社団法人日本機械学会の論文
1983-11-25