A Review of Theories for Sound Transmission through Infinite Double Panels and Identification of Asymptotic Behavior

摘要

In this paper, existing theories for sound transmission through infinite, double panel systems are first reviewed with a view to identifying their differences. The review begins from the classic papers of Beranek and Work, and London, before going on to consider later work by Mulholland, Parbrook and Cummings, Heckl, Fahy, and Hamada and Tachibana. The sound transmission problem was framed as a boundary value problem by most of these authors, except for Mulholland et al. who derived a multiple-reflection theory, and Hamada and Tachibana who introduced a transfer matrix approach. Further, except for Heckl's model, in which a locally-reacting medium is assumed to exist between the panels, the main difference between the models lies in the form of the panel impedance adopted by the various authors, with some authors considering only limp panels, while others allowed for the panels' flexural stiffness. Finally, an analysis of the high frequency asymptotic behavior of flexurally-stiff, double panels above their critical frequencies is presented. In that analysis, it was found, for example, that the peaks in the transmission loss increase at a rate of 120 dB/dec, while the minima increase at rate of 60 dB/dec.