Fully Polarized Topological Isostatic Metamaterials in Three Dimensions

Z Tang, F Ma, F Li, Y Yao, D Zhou - Physical Review Letters, 2024 - APS
Topological surface states are unique to topological materials and are immune to
disturbances. In isostatic lattices, mechanical topological floppy modes exhibit softness …

Spectral energy scattering and targeted energy transfer in phononic lattices with local vibroimpact nonlinearities

JR Tempelman, AF Vakakis, KH Matlack - Physical Review E, 2023 - APS
We propose a method for manipulating wave propagation in phononic lattices by employing
local vibroimpact (VI) nonlinearities to scatter energy across the underlying linear band …

Dynamics of Nonlinear Lattices

C Chong, PG Kevrekidis - arxiv preprint arxiv:2408.15837, 2024 - arxiv.org
In this topical review we explore the dynamics of nonlinear lattices with a particular focus to
Fermi-Pasta-Ulam-Tsingou type models that arise in the study of elastic media and, more …

Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks

T Weidemann, LA Bergman, AF Vakakis, M Krack - Nonlinear Dynamics, 2025 - Springer
We theoretically investigate the strongly nonlinear dynamics, inter-modal targeted energy
transfer and energy localization in an elastically coupled cyclic chain of oscillators with vibro …

Characterization of elastic topological states using dynamic mode decomposition

S Li, PG Kevrekidis, J Yang - Physical Review B, 2023 - APS
Elastic topological states have been receiving increased attention in numerous scientific and
engineering fields due to their defect-immune nature, resulting in applications of vibration …