References of "Renson, Luc"
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See detailNumerical computation of nonlinear normal modes in mechanical engineering
Renson, Luc ULiege; Kerschen, Gaëtan ULiege; Cochelin, B.

in Journal of Sound and Vibration (2016), 364

This paper reviews the recent advances in computational methods for nonlinear normal modes (NNMs). Different algorithms for the computation of undamped and damped NNMs are presented, and their respective ... [more ▼]

This paper reviews the recent advances in computational methods for nonlinear normal modes (NNMs). Different algorithms for the computation of undamped and damped NNMs are presented, and their respective advantages and limitations are discussed. The methods are illustrated using various applications ranging from low-dimensional weakly nonlinear systems to strongly nonlinear industrial structures. © 2015 Elsevier Ltd. [less ▲]

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See detailA spectral characterization of nonlinear normal modes
Cirillo, G. I.; Mauroy, A.; Renson, Luc ULiege et al

in Journal of Sound and Vibration (2016), 377

This paper explores the relationship that exists between nonlinear normal modes (NNMs) defined as invariant manifolds in phase space and the spectral expansion of the Koopman operator. Specifically, we ... [more ▼]

This paper explores the relationship that exists between nonlinear normal modes (NNMs) defined as invariant manifolds in phase space and the spectral expansion of the Koopman operator. Specifically, we demonstrate that NNMs correspond to zero level sets of specific eigenfunctions of the Koopman operator. Thanks to this direct connection, a new, global parametrization of the invariant manifolds is established. Unlike the classical parametrization using a pair of state-space variables, this parametrization remains valid whenever the invariant manifold undergoes folding, which extends the computation of NNMs to regimes of greater energy. The proposed ideas are illustrated using a two-degree-of-freedom system with cubic nonlinearity. © 2016 Elsevier Ltd [less ▲]

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See detailArray of microsystem for live monitoring of high voltage power lines
Renson, Luc ULiege; Jamar, Claude ULiege; Guérard, Suzanne ULiege et al

in Proceedings of the 1st IOMAC (2005, April)

How to use microsystems placed on power lines environment.

Detailed reference viewed: 149 (18 ULiège)