Abstract

We will discuss the dynamic behaviour of both discrete and continuous flexural systems incorporating gyroscopic resonators. The canonical object of study is the Green’s function, from which information regarding the dynamic response of the system under point loading by forces and moments can be obtained. A range of novel effects will be discussed, including extreme dynamic anisotropy, asymmetric wave propagation, wave-guiding, filtering and the ability to create localised defect modes, all without the need for additional resonant elements or interfaces. We will also discuss a new class of elastic waveforms, referred to as “chiral flexural waves”, in an elastic plate connected to a system of elastic flexural rods with gyroscopic spinners. Such waves support the propagation of one-way interfacial waves without the need for breaking time-reversal symmetry. This talk is based on joint work with KH Madine, G Carta, NV, Movchan, AB Movchan, and IS Jones.