References of "Kerschen, Gaëtan"
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See detailEfficiency of targeted energy transfers in coupled nonlinear oscillators associated with 1:1 resonance captures:Part II, analytical study
Sapsis, T. P.; Vakakis, Alexander F.; Gendelman, O. V. et al

in Journal of Sound & Vibration (2009)

We study targeted energy transfer in a two degree-of-freedom damped system under the conditionof1:1transient resonance capture. The system consists of a linear oscillator strongly coupled to an ... [more ▼]

We study targeted energy transfer in a two degree-of-freedom damped system under the conditionof1:1transient resonance capture. The system consists of a linear oscillator strongly coupled to an essentially nonlinear attachment or nonlinear energy sink. In a companion paper[ Quinnetal., Efficiency of targeted energy transfers in coupled nonlinear oscillators associated with1:1resonance captures: part I, Journal of Sound and Vibration 311 (2008)1228–1248]we studied the under lying structure of the Hamiltonian dynamics of this system ,and showed that for sufficiently small values of viscous damping , nonlinear damped transitions are strongly influenced by the under lying topological structure of periodic and quasi periodic or bits of the Hamiltonian system. In this work direct analytical treatment of the governing strongly nonlinear damped equations of motion is performed through slow/fast partitions of the transient responses, in order to investigate analytically the parameter region of optimal targeted energy transfer .To this end, we determine the characteristic time scales of the dynamics that influence the capacity of the nonlinear attachment to passively absorb and locally dissipate broad band energy from the linear oscillator. Then, we prove that optimal targeted energy transfer is realized for initial energies close to the neighbourhood of a homo clinic or bit of the under lying Hamiltonian system. We study analytically transient orbits resulting as perturbations of the homo clinic or bit in the weak lydamped system, and show that this yields an additional slow-time scale in the averaged dynamics, and leads to optimal targeted energy transfer from the linear oscillator to the nonlinear energy sink in a single ‘‘super-slow’’ half-cycle. We show that at higher energies, this ‘‘super-slow’’ half-cycle is replaced by strong nonlinear beats, which lead to significant but suboptimal targeted energy transfer efficiency. Finally, we investigate numerically targeted energy transfer efficiency in this system over a wide range of system parameter sand verify the analytical predictions. 2009 Elsevier Ltd .All rights reserved. [less ▲]

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See detailAnalyse dynamique du phénomène d'auto-blocage dans les charnières de type Carpentier
Hoffait, Sébastien ULg; Bruls, Olivier ULg; Granville, D. et al

in Colloque National en Calcul des Structures, Giens, 2009 (2009)

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See detailEnergy Transfer and Dissipation in a Duffing Oscillator Coupled to a Nonlinear Attachment
Viguié, Régis ULg; Peeters, Maxime ULg; Kerschen, Gaëtan ULg et al

in Journal of Computational and Nonlinear Dynamics (2009), 4(4),

The dynamics of a two-degree-of-freedom nonlinear system consisting of a grounded Duffing oscillator coupled to an essentially nonlinear attachment is examined in the present study. The underlying ... [more ▼]

The dynamics of a two-degree-of-freedom nonlinear system consisting of a grounded Duffing oscillator coupled to an essentially nonlinear attachment is examined in the present study. The underlying Hamiltonian system is first considered, and its nonlinear normal modes are computed using numerical continuation and gathered in a frequency-energy plot. Based on these results, the damped system is then considered, and the basic mechanisms for energy transfer and dissipation are analyzed. [DOI: 10.1115/1.3192130] [less ▲]

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See detailNonlinear vibration absorber coupled to a nonlinear primary system: A tuning methodology
Viguié, Régis ULg; Kerschen, Gaëtan ULg

in Journal of Sound & Vibration (2009), 326(3-5), 780-793

This paper addresses the problem of mitigating the vibration of nonlinear mechanical systems using nonlinear dynamical absorbers. One particular feature of the proposed absorber is that it is effective in ... [more ▼]

This paper addresses the problem of mitigating the vibration of nonlinear mechanical systems using nonlinear dynamical absorbers. One particular feature of the proposed absorber is that it is effective in a wide range of forcing amplitudes. A qualitative tuning methodology is developed and validated using numerical simulations. (C) 2009 Elsevier Ltd. All rights reserved. [less ▲]

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See detailNonlinear Targeted Energy Transfer in Mechanical and Structural Systems II
Vakakis, Alexander F.; Gendelman, O. V.; Bergman, L. A. et al

Book published by Springer (2009)

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See detailNonlinear normal modes, Part 1: Useful framework for the structural dynamicist
Kerschen, Gaëtan ULg; Peeters, Maxime ULg; Golinval, Jean-Claude ULg et al

in Mechanical Systems & Signal Processing (2009), 23

The conceptofnonlinearnormalmodes(NNMs)isdiscussedinthepresentpaperandits companion,PartII.BecausethereisvirtuallynoapplicationoftheNNMstolarge-scale engineeringstructures ... [more ▼]

The conceptofnonlinearnormalmodes(NNMs)isdiscussedinthepresentpaperandits companion,PartII.BecausethereisvirtuallynoapplicationoftheNNMstolarge-scale engineeringstructures,thesepapersareanattempttohighlightseveralaspectsthat mightdrivetheirdevelopmentinthefuture.Specifically,wesupportthat(i)numerical methodsforthecontinuationofperiodicsolutionspavethewayforaneffectiveand practical computationofNNMs,and(ii)time–frequencyanalysisisparticularlysuitable fortheanalysisoftheresultingdynamics.Anotherobjectiveofthepresentpaperisto describe,insimpleterms,andtoillustratethefundamentalpropertiesofNNMs.Thisis achievedtoconvincethestructuraldynamicistnotnecessarilyacquaintedwiththemthat theyareausefulframeworkfortheanalysisofnonlinearvibratingstructures. & 2008ElsevierLtd.Allrightsreserved [less ▲]

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See detailNonlinear Targeted Energy Transfer in Mechanical and Structural Systems I
Vakakis, Alexander F.; Gendelman, O. V.; Bergman, L. A. et al

Book published by Springer (2009)

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See detailTargeted energy transfer for suppressing aeroelastic instability due to unsteady lift
Lee, Y. S.; Vakakis, Alexander F.; Bergman, L. A. et al

in Targeted energy transfer for suppressing aeroelastic instability due to unsteady lift, Palm Springs, 2009 (2009)

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See detailModal Analysis of a Nonlinear Periodic Structure with Cyclic Symmetry
Georgiades, Fostios; Peeters, Maxime ULg; Kerschen, Gaëtan ULg et al

in AIAA Journal (2009), 47

The objective of this paper is to examine nonlinear normal modes and their bifurcations in cyclic periodic structures. The nonlinear normal modes are computed using a numerical technique that combines ... [more ▼]

The objective of this paper is to examine nonlinear normal modes and their bifurcations in cyclic periodic structures. The nonlinear normal modes are computed using a numerical technique that combines shooting and pseudoarclength continuation. Unlike perturbation techniques, the resulting algorithm can investigate strongly nonlinear regimes of motion. This study reveals that modal interactions may occur without necessarily having commensurate natural frequencies in the underlying linear system. In addition, a countable infinity of such modal Q2 interactions are shown to exist in the system. [less ▲]

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See detailNonlinear normal modes, Part 2: Toward a pratical computation using numerical continuation techniques
Peeters, Maxime ULg; Viguié, Régis ULg; Sérandour, Guillaume ULg et al

in Mechanical Systems & Signal Processing (2009), 23

The conceptofnonlinearnormalmodes(NNMs)isdiscussedinthepresentpaperandits companion,PartI.OnereasonofthestilllimiteduseofNNMsinstructuraldynamicsis that theircomputationisoftenregardedasimpractical ... [more ▼]

The conceptofnonlinearnormalmodes(NNMs)isdiscussedinthepresentpaperandits companion,PartI.OnereasonofthestilllimiteduseofNNMsinstructuraldynamicsis that theircomputationisoftenregardedasimpractical.However,whenresortingto numericalalgorithms,weshowthattheNNMcomputationispossiblewithlimited implementationeffort,whichpavesthewaytoapracticalmethodfordeterminingthe NNMsofnonlinearmechanicalsystems.Theproposedalgorithmreliesontwomain techniques,namelyashootingprocedureandamethodforthecontinuationofNNM motions. Thealgorithmisdemonstratedusingfourdifferentmechanicalsystems,a weakly andastronglynonlineartwo-degree-of-freedomsystem,asimplifieddiscrete modelofanonlinearbladeddiskandanonlinearcantileverbeamdiscretizedbythefinite elementmethod. [less ▲]

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See detailUsing passive nonlinear targeted energy transfer to stabilize drill-stringsystems
Viguié, Régis ULg; Kerschen, Gaëtan ULg; Golinval, Jean-Claude ULg et al

in Mechanical Systems & Signal Processing (2009), 23

Torsional vibrations of drill strings used in drilling oil and gas wells arises from a complex interaction of the dynamics of the drilling structure with speed-dependent effective rock-cutting forces ... [more ▼]

Torsional vibrations of drill strings used in drilling oil and gas wells arises from a complex interaction of the dynamics of the drilling structure with speed-dependent effective rock-cutting forces. These forces are often difficult to model, and contribute substantially to the instability problems of controlling the drilling operation so as to produce steady cutting. In this work we show how nonlinear passive targeted energy transfer to a lightweight attachment can be used to passively control these instabilities. This is performed by means of a nonlinear energy sink (NES), a lightweight attachment which has been shown to be effective in reducing or even completely eliminating self-excited motions in aeroelastic and other systems. The NES is a completely passive, inherently broadband vibration absorber capable of attracting and dissipating vibrational energy from the primary structure to which it is attached, in this case a nonlinear discontinuous model of a drill-string system. In this paper we describe a prototypical drill string-NES system, briefly discuss some of the analytical and computational tools suitable for its analysis, and then concentrate on mathematical results on the efficacy of the NES in this application and their physical interpretation. [less ▲]

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See detailDesign procedure of a nonlinear vibration absorber using bifurcation analysis: application to a drill-string system
Viguié, Régis ULg; Kerschen, Gaëtan ULg

in Euromech 503, Nonlinear Normal Modes, Dimension Reduction and Localization in Vibrating Systems, Frascati, 2009 (2009)

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See detailDetection and quantification of non-linear dynamic behaviour of space structures
Hot, A.; Cogan, S.; Foltete, E. et al

in 11th European Conference on Spacecraft Structures, Materials and Mechanical Testing, Toulouse, 2009 (2009)

Detailed reference viewed: 10 (0 ULg)
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See detailDesign procedure of a nonlinear vibration absorber using bifurcation analysis : application to the drill-string system
Viguié, Régis ULg; Kerschen, Gaëtan ULg

in ASME International Design Engineering Technical Conferences, San Diego, 2009 (2009)

Detailed reference viewed: 17 (5 ULg)
See detailExploration of nonlinear shunting strategies as effective vibration absorbers
Viguié, Régis ULg; Kerschen, Gaëtan ULg; Ruzzene, M.

in Smart Str. and Mat. & Nondestructive Eval. and Health Monitoring, San Diego, 2009 (2009)

Detailed reference viewed: 12 (1 ULg)
See detailOn modal interactions in strongly nonlinear systems
Peeters, Maxime ULg; Kerschen, Gaëtan ULg; Golinval, Jean-Claude ULg

in Euromech 503, Nonlinear Normal Modes, Dimension Reduction and Localization in Vibrating Systems, Frascati, 2009 (2009)

Detailed reference viewed: 11 (4 ULg)
See detailModal testing of non-linear vibrating structures
Peeters, Maxime ULg; Kerschen, Gaëtan ULg

in 11th European Conference on Spacecraft Structures, Materials and Mechanical Testing, Toulouse, 2009 (2009)

Detailed reference viewed: 9 (7 ULg)
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See detailModal testing of nonlinear vibrating structures based on a nonlinear extension of force appropriation
Peeters, Maxime ULg; Kerschen, Gaëtan ULg; Golinval, Jean-Claude ULg

in ASME International Design Engineering Technical Conferences, San Diego, 2009 (2009)

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See detailDimensionality Reducion using Linear and Nonlinear Transformations
Kerschen, Gaëtan ULg; Golinval, Jean-Claude ULg

in Boller, C. (Ed.) Encyclopedia of Structural Health Monitoring (2009)

Detailed reference viewed: 7 (3 ULg)
See detailUsing passive nonlinear targeted energy transfer to stabilize drill-stringsystems
Viguié, Régis ULg; Kerschen, Gaëtan ULg; Golinval, Jean-Claude ULg et al

in International Colloquium on Non-Linear Dynamics of Deep Drill-String Systems, Liège, 2009 (2009)

Detailed reference viewed: 9 (1 ULg)