Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators

DOI10.1007/s11071-006-9073-5zbMath1177.70023OpenAlexW2129217096MaRDI QIDQ842067

D. Michael McFarland, Jeffrey J. Kowtko, Lawrence A. Bergman, 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/s11071-006-9073-5

zbMATH Keywords

resonance captureessential nonlinearitynonlinear energy pumpingmultimodal targeted energy transfernonlinear beating phenomenon

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Forced motions in linear vibration theory (70J35) Nonlinear dynamics in mechanics (70K99)

Related Items (12)

Multi-scale energy exchanges between an elasto-plastic oscillator and a light nonsmooth system with external pre-stress ⋮ Nonlinear targeted energy transfer: state of the art and new perspectives ⋮ Analysis of the transient behavior in a two dof nonlinear system ⋮ Targeted energy transfer with parallel nonlinear energy sinks. II: Theory and experiments ⋮ Targeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink ⋮ Dynamics of nonlinear primary oscillator with nonlinear energy sink under harmonic excitation: effects of nonlinear stiffness ⋮ MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS ⋮ Conditions for the existence of isolated backbone curves ⋮ Dynamics of a linear system with time-dependent mass and a coupled light mass with non-smooth potential ⋮ Vibration reduction evaluation of a linear system with a nonlinear energy sink under a harmonic and random excitation ⋮ Thermal effect on dynamics of beam with variable-stiffness nonlinear energy sink ⋮ DYNAMICS OF COUPLED DAHL TYPE AND NONSMOOTH SYSTEMS AT DIFFERENT SCALES OF TIME

Cites Work

• Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment
• Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions
• Experimental study of non-linear energy pumping occurring at a single fast frequency
• Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment
• Dynamics of a cubic nonlinear vibration absorber
• Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 resonance manifold and transient bridging orbits
• Dynamics of structures with wideband autoparametric vibration absorbers: theory
• Vibration reduction over a frequency range
• A Nonparametric Identification Technique for Nonlinear Dynamic Problems
• Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
• Irreversible Passive Energy Transfer in Coupled Oscillators with Essential Nonlinearity
• Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators
• Performance of nonlinear vibration absorbers for multi-degree-of-freedom systems using nonlinear normal modes

This page was built for publication: Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators