Wave polarization and dynamic degeneracy in a chiral elastic lattice

摘要: This paper addresses fundamental questions arising in the theory of Bloch–Floquet waves chiral elastic lattice systems. area has received a significant attention context ‘topologically protected’ waveforms. Although practical applications lattices are widely appreciated, especially problems controlling low-frequency vibrations, wave polarization and filtering, relationship these to classical waveforms associated with longitudinal shear retain substantial scope for further development. The notion chirality is introduced into systematic analysis dispersive doubly-periodic lattice. Important quantitative characteristics dynamic response lattice, such as flux circulation, used along novel concept ‘vortex waveforms’ that characterize system. We note continuum concepts pressure do not apply case when wavelength comparable size elementary cell periodic structure. Special critical regimes highlighted vortex become dominant. Analytical findings accompanied by illustrative numerical simulations.