Solitary waves in dimer binary collision model: a comparative study with granular dimers

Abstract

We study the complex nonlinear mechanism of uni- and bi-directional energy channeling realized in a locally resonant three-dimensional (3D) unit-cell model comprising of an external mass subjected to a 3D nonlinear local potential with a spherical internal rotator in the limit of low energy excitation. We discuss two families of non-stationary regimes corresponding to in-plane and out-of-plane energy channeling which are manifested by 3D transformation of general in-plane oscillations of the external element to orthogonally reoriented in-plane and out-of-plane oscillations. The energy flow is fully controlled by the orientation of the internal rotator. Numerical simulations are in very good correspondence with the multi scale analysis.