A method of making an acoustic assembly for use in a transducer includes forming a multi-layer structure. The multi-layer structure includes a first layer member that includes a first center portion, a first edge portion and a first aperture separating the first center portion and the first edge portion. A second layer member includes a second center portion, a second edge portion and a second aperture separating the second center portion and the second edge portion such that the second center portion is free to move relative to the second edge portion. The first and second layers are formed into an assembly wherein the first center portion and the second center portion are coupled, the first edge portion and the second edge portion are coupled, and the first aperture and the second aperture are substantially aligned to define a passageway. The assembly has an assembly stiffness that is greater than the stiffness of either the first or second layer members. A hinge joins the assembled first and second center portions and the first and second edge portions such that the assembled first and second center portions is free to at least partially rotate relative to the assembled first and second edge portions about an axis. A flexible layer member is coupled to the assembly and provides airtight sealing of the passageway.