A sound-damping structure is provided for use as part of a sound-directing component of a loudspeaker. The structure includes a first structural layer, a second structural layer, and a core layer enclosed between the first and second structural layers. The first and second structural layers include a generally rigid material, and the core layer includes a sound-damping material. The first structural layer includes an outside surface facing an exterior of the sound-directing component. The second structural layer includes an inside surface having an interior of the sound-directing component through which sound energy is directed.