Massimo Ruzzene, ruzzene@gatech.edu
Co-authors: Marshall Schaeffer
Wave Propagation in Multistable Magneto-Elastic Lattices
The paper discusses the wave propagation characteristics of two-dimensional (2D) magneto-elastic meta-structure
These structures demonstrate the ability to undergo large topological and stiffness changes, which allows for
dramatic changes in wave propagation characteristics. The analysis is conducted using a lumped mass system
of magnetic particles. Instabilities caused by the magnetic interactions are exploited in combination with particle contact to produce topological changes leading to stiffness changes and corresponding variations in wave
propagation patterns. The propagation of plane waves is predicted by applying Bloch theorem to linearized unit
cells, and subsequently evaluated through direct numerical simulations of the fully nonlinear governing equations. Changes in mechanical properties are also assessed through homogenization procedures relying on the
long-wavelength approximation of the discrete equations of motion and the formulation of equivalent continua.