Chiral flexural waves in structured plates: directional localisation and control

A new class of elastic waveforms, referred to as “chiral flexural waves”, is introduced for a multi-structure, which encompasses an elastic plate connected to a system of elastic flexural rods with gyroscopic spinners. The junction conditions describing the connection between the plate and the thin flexural rod require logarithmic asymptotics. The directional preference of the system is governed by the motion of gyroscopic spinners. For doubly-periodic chiral multi-structures studied here, parabolic modes associated with strong dynamic anisotropy of Bloch–Floquet waves are identified. Closed form analytical findings are accompanied by numerical simulations, which identify one-way flexural waves propagating along a straight interface in a flexural chiral system, without requiring the presence of Dirac cones on the dispersion surfaces.