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The paper addresses novel dispersion properties of elastic flexural waves inperiodic structures which possess rotational inertia. The structure isrepresented as a lattice, whose elementary links are formally defined as theRayleigh beams. Although in the quasi-static regime such beams respondsimilarly to the classical Euler-Bernoulli beams, as the frequency increasesthe dispersion of flexural waves possesses new interesting features. For adoubly periodic lattice, we give a special attention to degeneracies associatedwith so-called Dirac cones on the dispersion surfaces as well as directionalanisotropy. Comparative analysis for Floquet-Bloch waves in periodic flexurallattices of different geometries is presented and accompanied by numericalsimulations.

Floquet-Bloch waves in periodic networks of the Rayleigh beams: honeycomb systems, dispersion degeneracies and structured interfaces