Controlling and limiting the vibration of thin plates has a multitude of applications in structural acoustics. It is a subject that has received great attention in the literature where a variety of techniques have been proposed to reduce the level of structural vibration and noise. See for example [1], the text by Fuller et al. [2] and for an early example see e.g. Olson [3]. A closely related topic that has emerged over the last decade is that of cloaking, the effect of causing a region to be unseen by incoming waves in the sense that the scattering is zero in all directions, see [4] for a review. Two principal techniques have been proposed: passive and active. Passive cloaking [5–7] requires complex metamaterials in order to guide waves around some volume of space, or around a region in a plate. Passive cloaking methods have been successfully developed and demonstrated for flexural waves in thin plates. Thus, Stenger et al. [8] adapted the design proposed in [9] to make a free- space flexural wave cloak in a thin PVC plate. The flexural wave cloak was demonstrated at acoustic frequencies, and exhibited the largest measured relative bandwidth (more than one octave) of reported free-space acoustic cloaks.