Solitary waves in dimer binary collision model: a comparative study with granular dimers
Source
9th European Nonlinear Dynamics Conference (ENOC 2017)
Date Issued
2017-06-25
Author(s)
Ahsan, Zaid
Indian Institute of Technology, Gandhinagar
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.
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.