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The perforated silencers are widely used in practical applications.One may face great challenge to model and calculate the transmission loss(TL)of perforated silencing devices,especially for two-pass or three-pass perforated tube silencers with a large number of perforated areas.The mixed-body boundary element method(MBEM)begins with the conventional multi-domain BEM by subdividing the acoustic domain into several well-defined substructures.The Helmholtz integral equation may be written for each individual substructure.