Complex dynamics and targeted energy transfer in linear oscillators coupled to multi-degree-of-freedom essentially nonlinear attachments

DOI10.1007/s11071-006-9089-xzbMath1180.70028OpenAlexW2147079519MaRDI QIDQ842109

Lawrence A. Bergman, Stylianos Tsakirtzis, Panagiotis N. Panagopoulos, Oleg V. Gendelman, Gaëtan Kerschen, Alexander F. Vakakis

Publication date: 22 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9089-x

zbMATH Keywords

Essentially nonlinear attachmentsPassive targeted energy transferRegular backbone branchesSingular backbone branchesTransient resonance captures

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Forced motions in linear vibration theory (70J35) Nonlinear dynamics in mechanics (70K99)

Related Items (9)

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations ⋮ Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions ⋮ The response of linear oscillators coupled to MDOF nonlinear attachment with combined seismic excitation ⋮ NES cell ⋮ Vibratory control of a linear system by addition of a chain of nonlinear oscillators ⋮ Multi-degree of freedom nonlinear energy sinks for passive control of vortex-induced vibrations in a sprung cylinder ⋮ Passive targeted energy transfers and strong modal interactions in the dynamics of a thin plate with strongly nonlinear attachments ⋮ Dynamics of a linear system coupled to a chain of light nonlinear oscillators analyzed through a continuous approximation ⋮ Thermal effect on dynamics of beam with variable-stiffness nonlinear energy sink

Cites Work

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• Breather$ndash$phonon resonances in finite-size lattices: $lquot$phantom breathers$rquot$?
• On Steady-State Harmonic Vibrations of Nonlinear Systems With Many Degrees of Freedom

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