Nonlinear targeted energy transfer: state of the art and new perspectives

AF Vakakis, OV Gendelman, LA Bergman… - Nonlinear …, 2022 - Springer
Following a brief review of current progress in the field of nonlinear targeted energy transfer
(TET), we discuss some general ideas and methods in this field and describe certain …

Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses

GU Patil, KH Matlack - Acta Mechanica, 2022 - Springer
Phononic materials are periodically arranged building blocks in the form of material
properties, geometries, and/or boundary conditions. This synthetic architecture makes …

Passive nonlinear targeted energy transfer

AF Vakakis - … Transactions of the Royal Society A …, 2018 - royalsocietypublishing.org
Nonlinearity in dynamics and acoustics may be viewed as scattering of energy across
frequencies/wavenumbers. This is in contrast with linear systems when no such scattering …

Pulse transmission and acoustic non-reciprocity in a granular channel with symmetry-breaking clearances

Q Zhang, W Li, J Lambros, LA Bergman, AF Vakakis - Granular Matter, 2020 - Springer
Granular media composed of ordered arrays of discrete spherical granules have attracted
considerable attention due to their highly nonlinear and discontinuous dynamics and …

Wave transmission in 2D nonlinear granular-solid interfaces, including rotational and frictional effects

C Wang, Q Zhang, AF Vakakis - Granular Matter, 2021 - Springer
We study the highly complex wave transmission at the interface between a two-dimensional
(2D) hexagonally structured granular medium and a linearly elastic thin plate; we refer to this …

Passive nonreciprocity in a system of asymmetrical rotational oscillators

L Fang, A Mojahed, A Darabi, AF Vakakis… - Physical Review Applied, 2021 - APS
In this paper we investigate an elastically linked, nonlinear, in-plane rotator system and
experimentally study its nonreciprocal impulse response. The nonlinearity of the system …

Novel energy exchange behaviors and mechanisms in nonlinear acoustic metamaterials with multiple nonlinear resonators

F Zhou, M Liu - Physica Scripta, 2024 - iopscience.iop.org
Wave-wave interactions in a nonlinear metamaterial or structure with two propagating waves
can induce energy exchange within the nonlinear systems. The effects of nonlinear …

Time scale disparity yielding acoustic nonreciprocity in a two-dimensional granular-elastic solid interface with asymmetry

C Wang, S Tawfick, AF Vakakis - Physical Review E, 2021 - APS
We study nonreciprocal wave transmission across the interface of two dissimilar granular
media separated by an elastic solid medium. Specifically, a left, larger-scale and a right …

[HTML][HTML] Nonlinear wave scattering at the interface of granular dimer chains and an elastically supported membrane

Q Zhang, R Potekin, W Li, AF Vakakis - International Journal of Solids and …, 2020 - Elsevier
In this work we study computationally nonlinear wave scattering at the flexible interfaces of
1D dimer granular chains with a square membrane with a linear uniform elastic foundation …

Computational and experimental analysis of the impact of a sphere on a beam and the resulting modal energy distribution

F Gehr, T Theurich, C Monjaraz-Tec, J Gross… - … Systems and Signal …, 2022 - Elsevier
We consider the common problem setting of an elastic sphere impacting on a flexible beam.
In contrast to previous studies, we analyze the modal energy distribution induced by the …