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See detailThe harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
Detroux, Thibaut ULg; Renson, Ludovic ULg; Masset, Luc ULg et al

Conference (2015, August 26)

The harmonic balance (HB) method is widely used in the literature for analyzing the periodic solutions of nonlinear mechanical systems. The objective of this paper is to extend the method for bifurcation ... [more ▼]

The harmonic balance (HB) method is widely used in the literature for analyzing the periodic solutions of nonlinear mechanical systems. The objective of this paper is to extend the method for bifurcation analysis, i.e., for the detection and tracking of bifurcations of nonlinear systems. To this end, an algorithm that combines the computation of the Floquet exponents with bordering techniques is developed. A new procedure for the tracking of Neimark-Sacker bifurcations that exploits the properties of eigenvalue derivatives is also proposed. As an application, the frequency response of a structure spacecraft is studied, together with two nonlinear phenomena, namely quasiperiodic oscillations and detached resonance curves. This example illustrates how bifurcation tracking using the HB method can be employed as a promising design tool for detecting and eliminating such undesired behaviors. [less ▲]

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See detailThe harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
Detroux, Thibaut ULg; Renson, Ludovic ULg; Masset, Luc ULg et al

in Computer Methods in Applied Mechanics and Engineering (2015), 296

The harmonic balance (HB) method is widely used in the literature for analyzing the periodic solutions of nonlinear mechanical systems. The objective of this paper is to exploit the method for bifurcation ... [more ▼]

The harmonic balance (HB) method is widely used in the literature for analyzing the periodic solutions of nonlinear mechanical systems. The objective of this paper is to exploit the method for bifurcation analysis, i.e., for the detection and tracking of bifurcations of nonlinear systems. To this end, an algorithm that combines the computation of the Floquet exponents with bordering techniques is developed. A new procedure for the tracking of Neimark–Sacker bifurcations that exploits the properties of eigenvalue derivatives is also proposed. The HB method is demonstrated using numerical experiments of a spacecraft structure that possesses a nonlinear vibration isolation device. [less ▲]

Detailed reference viewed: 39 (10 ULg)
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See detailThe harmonic balance method for bifurcation analysis of nonlinear mechanical systems
Detroux, Thibaut ULg; Renson, Ludovic ULg; Masset, Luc ULg et al

in Proceedings of the International Modal Analysis Conference (IMAC) XXXIII (2015)

Because nowadays structural engineers are willing to use or at least understand nonlinearities instead of simply avoiding them, there is a need for numerical tools performing analysis of nonlinear large ... [more ▼]

Because nowadays structural engineers are willing to use or at least understand nonlinearities instead of simply avoiding them, there is a need for numerical tools performing analysis of nonlinear large-scale structures. Among these techniques, the harmonic balance (HB) method is certainly one of the most commonly used to study finite element models with reasonably complex nonlinearities. However, in its classical formulation the HB method is limited to the approximation of periodic solutions. For this reason, the present paper proposes to extend the method to the detection and tracking of codimension-1 bifurcations in the system parameters space. As an application, the frequency response of a spacecraft is studied, together with two nonlinear phenomena, namely quasiperiodic oscillations and detached resonance curves. This example illustrates how bifurcation tracking using the HB method can be employed as a promising design tool for detecting and eliminating such undesired behaviors. [less ▲]

Detailed reference viewed: 168 (36 ULg)
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See detailHarmonic Trusses : the Search for Minimum Weight
Samyn, Philippe; Latteur, Pierre ULg

(1998, February)

Detailed reference viewed: 19 (0 ULg)
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See detailHarmonic-Balance Finite-Element Modelling of Electromagnetic Devices: A Novel Approach
Gyselinck, J.; Dular, Patrick ULg; Geuzaine, Christophe ULg et al

in IEEE Transactions on Magnetics (2002), 38(2), 521--524

Detailed reference viewed: 28 (5 ULg)
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See detailL’Harmonie des doctrines dans le néoplatonisme tardif. Platon et Aristote chez Simplicius
Gavray, Marc-Antoine ULg

in Annuaire de l'École Pratique des Hautes Etudes. Section des Sciences Religieuses (2013), 120(2011-2012), 83-39

Detailed reference viewed: 25 (4 ULg)
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See detailL'harmonie et le chaos. Le rationalisme leibnizien et la "nouvelle science"
Bouquiaux, Laurence ULg

Book published by Peeters (1994)

Detailed reference viewed: 12 (1 ULg)
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See detailL’harmonisation des conditions individuelles de travail en cas de transfert conventionnel d’entreprise
Kefer, Fabienne ULg

in La cession d’entreprise : les aspects sociaux (2011, April 07)

Detailed reference viewed: 75 (14 ULg)
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See detailHarmonisation des démarches de validation, est-elle possible ?
Hubert, Philippe ULg; Chiap, Patrice ULg; Laurentie, M. et al

Conference (2003)

Detailed reference viewed: 29 (1 ULg)
See detailL'harmonisation des législations des Etats membres de la C.E.E. en matière d'impôts directs
Thilmany, Jean ULg

in Revue pratique des sociétés (1981)

Detailed reference viewed: 14 (0 ULg)
See detailL'harmonisation des statuts entre ouvriers et employés
Baukens, Michèle; Rozenberg, Fanny ULg; Kéfer, Fabienne ULg

Book published by Anthemis (2014)

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See detailHarmonisation des strategies de validation et estimation de l'incertitude associee dans le cadre de l'accreditation des laboratoires d'essais
Hubert, Philippe ULg; Rozet, Eric ULg; Boulanger, Bruno ULg et al

in Acta Clinica Belgica. Supplementum (2006), S1(1), 53-55

In order to achieve the harmonization of validation strategies, the interpretation of several validation criteria is proposed. Furthermore, a simple and visual decision tool to assess the validity of an ... [more ▼]

In order to achieve the harmonization of validation strategies, the interpretation of several validation criteria is proposed. Furthermore, a simple and visual decision tool to assess the validity of an analytical procedure is described: the accuracy profile based on the estimation of the total error of the measurements. This profile build with beta-expectation tolerance intervals can also compute with efficiency the uncertainty related to the results of a laboratory, which is an essential parameter for the accreditation of laboratories under ISO 17025. [less ▲]

Detailed reference viewed: 91 (19 ULg)
See detailHarmonisation du droit de la construction et protection du consommateur
Kohl, Benoît ULg

Scientific conference (2008, May 08)

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See detailHarmonisation et construction
Kohl, Benoît ULg

Article for general public (2009)

Detailed reference viewed: 38 (14 ULg)
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See detailHarmonisation of Construction Liabilities in the European Union
Kohl, Benoît ULg

Conference (2013)

Detailed reference viewed: 1 (0 ULg)