35 citations · 201 across the 29 of their papers we have counts for
5 papers · 1 filter
Global complexity effects due to local damping in a nonlinear system in 1:3 internal resonance
Malte Krack, Lawrence A. Bergman, Alexander F. Vakakis
It is well-known that nonlinearity may lead to localization effects and coupling of internally resonant modes. However, research focused primarily on conservative systems commonly…
On the Efficacy of Friction Damping in the Presence of Nonlinear Modal Interactions
Malte Krack, Lawrence A. Bergman, Alexander F. Vakakis
This work addresses friction-induced modal interactions in jointed structures, and their effects on the passive mitigation of vibrations by means of friction damping. Under the con…
Nonlinear Resonances and Antiresonances of a Forced Sonic Vacuum
D. Pozharskiy, Y. Zhang, M. O. Williams +4
We consider a harmonically driven acoustic medium in the form of a (finite length) highly nonlinear granular crystal with an amplitude and frequency dependent boundary drive. Remar…
Accelerating oscillatory fronts in a nonlinear sonic vacuum with strong non-local effects
O. V. Gendelman, V. Zolotarevskiy, A. V. Savin +2
In this Letter we describe a novel class of dynamical excitations -- accelerating oscillatory fronts in a new genre of nonlinear sonic vacua with strongly non-local effects. Indeed…
Nonlinear Pulse Equi-partition in Weakly Coupled Ordered Granular Chains with no Pre-Compression
Yuli Starosvetsky, M. Arif Hasan, Alexander F. Vakakis
We report on the strongly nonlinear dynamics of an array of weakly coupled, non-compressed, parallel granular chains subject to a local initial impulse. The motion of the granules…