An assembly includes a panel member and an acoustic sink member. The panel member has a panel edge, and first and second long axes defining a plane. The panel member has a first material composition. The acoustic sink member has a body with a periphery which is coupled to the panel edge. The body has a second material composition, which is distinct from the first material composition. An acoustic impedance of the sink member at the periphery is equal to an acoustic impedance of the panel member at the panel edge, and the body has a cross-sectional profile defined by a power law.