Dynamics of linear discrete systems connected to local, essentially non-linear attachments

By Alexander F. Vakakis, Leonid I. Manevitch, Oleg V. Gendelman, Lawrence A. Bergman. 2003

264 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computer Networks and Communications

View Paper: https://www.semanticscholar.org/paper/bb2a325b62d72de3641181436add21f8e440a252

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In Civil and Structural Engineering

In Computer Networks and Communications

Citations in the corpus

Exploring the performance of a nonlinear tuned mass damper (2009, result): “pumping phenomenon in [16–19] and others.”
Attractors of harmonically forced linear oscillator with attached nonlinear energy sink I: Description of response regimes (2007, methodology): “Unlike common linear and weakly nonlinear systems, systems with strongly nonlinear elements are able to react efficiently on the amplitude characteristics of the external forcing in a wide range of frequencies [5, 6 ]. Thus, the systems under consideration give rise to a new concept of nonlinear en”
Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment (2005, unknown): “As shown in previous works [5, 6 ], in this class of coupled oscillators interesting energy exchange phenomena can occur, including one-way irreversible transfer of energy from the linear oscillator to the nonlinear attachment (a phenomenon termed nonlinear energy pumpingin these works).”
Dynamics of a linear beam with an attached local nonlinear energy sink (2007, background): “The main advantages of the proposed nonlinear design is its relative simplicity, its modularity, its lightweightness, and its capacity to be adaptive; that is, its capacity to resonantly interact with a set of structural modes of arbitrary frequency, extracting energy from each mode before interacti”
Theoretical and Experimental Study of Multimodal Targeted Energy Transfer in a System of Coupled Oscillators (2006, background): “The lack of any preferential resonance frequency of the NES makes it capable of resonating with any mode of the primary structure through isolated resonance captures, as reported in [21, 22].”
Bifurcations of Nonlinear Normal Modes of Linear Oscillator with Strongly Nonlinear Damped Attachment (2004, background): “Introduction Recently it has been demonstrated that various syst ems comprised of linear substructures and strongly onlinear attachments demonstrate localization and irreversib l transient transfer (pumping) of energy to prescr ibed fragments of structure dependent on initial conditions and exter na”