Resumen
We investigate an infinite mass-spring “helix-like structure”, which consists of a helix and a central core, and implement Bloch-Floquet conditions to obtain travelling wave solutions to the proposed problem. The structure’s geometrical chirality is considered in conjunction with a physical chirality which is introduced by placing gyroscopes along its central core. It is shown that the interplay between these two chiralities acts as a mechanical analogue of Faraday’s law, breaking the symmetry of the associated dispersion diagram. The study of the “helix-like structure” is prefaced by the construction of a discrete “wheel-like structure” whose eigenfrequencies are shown to be obtainable from a one-dimensional system with an appropriately chosen macrocell.
Imparte
Finn Allison
Manchester University, England
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