A conjugate damper for a structural panel includes a constraining sheet extending between a first edge and a second edge. Each of the first edge and the second edge is at least partially coupled to a first surface of the structural panel. The conjugate damper also includes a damping layer coupled between the constraining sheet and the first surface such that, when the structural panel is in a compressively deformed state, a thickness of the damping layer in a direction generally normal to the first surface is decreased relative to a baseline state. The damping layer includes a viscoelastic material.