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Nonlinear vibrations of steelpans: analysis of mode coupling in view of modal sound synthesis.

Communication avec acte
Auteur
MONTEIL, Mélodie
135261 Unité de Mécanique [UME]
33993 Institut Jean Le Rond d'Alembert [DALEMBERT]
ccTOUZÉ, Cyril
135261 Unité de Mécanique [UME]
ccTHOMAS, Olivier
178374 Laboratoire des Sciences de l'Information et des Systèmes : Ingénierie Numérique des Systèmes Mécaniques [LSIS- INSM]

URI
http://hdl.handle.net/10985/10115
Date
2013

Résumé

Steelpans are musical percussions made from steel barrels. During the manufacturing, the metal is stretched and bended, to produce a set of thin shells that are the differents notes of the instrument. In normal playing, each note is struck, and the sound reveals some nonlinear characteristics which give its peculiar tone to the instrument. In this paper, an experimental approach is first presented in order to show the complex dynamics existing in steelpan’s vibrations. Then two models, based on typical modal interactions, are proposed to quantify these nonlinearities. Finally, one of them is observed in free oscillations simulations, in order to compare the internal resonance model to the steelpan vibrations behaviour in normal playing. The aim is to identify the important modes participating in the vibrations in view of building reduced-order models for modal sound synthesis.

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  • Laboratoire d’Ingénierie des Systèmes Physiques Et Numériques (LISPEN)

Documents liés

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  • Identification of mode couplings in nonlinear vibrations of the steelpan 
    Article dans une revue avec comité de lecture
    MONTEIL, Mélodie; ccTHOMAS, Olivier; ccTOUZÉ, Cyril (Elsevier, 2015)
    The vibrations and sounds produced by two notes of a double second steelpan are investigated, the main objective being to quantify the nonlinear energy exchanges occurring between vibration modes that are responsible of ...
  • Conservative Numerical Methods for the Full von Kármán Plate Equations 
    Article dans une revue avec comité de lecture
    BILBAO, Stefan; ccTHOMAS, Olivier; ccTOUZÉ, Cyril; DUCCESCHI, Michele (Wiley, 2015)
    This article is concerned with the numerical solution of the full dynamical von Kármán plate equations for geometrically nonlinear (large-amplitude) vibration in the simple case of a rectangular plate under periodic boundary ...
  • An upper bound for validity limits of asymptotic analytical approaches based on normal form theory 
    Article dans une revue avec comité de lecture
    LAMARQUE, Claude-Henri; ccTOUZÉ, Cyril; ccTHOMAS, Olivier (Springer Verlag, 2012)
    Perturbation methods are routinely used in all fields of applied mathematics where analytical solutions for nonlinear dynamical systems are searched. Among them, normal form theory provides a reliable method for systematically ...
  • Nonlinear forced vibrations of thin structures with tuned eigenfrequencies: the cases of 1:2:4 and 1:2:2 internal resonances 
    Article dans une revue avec comité de lecture
    MONTEIL, Mélodie; ccTOUZÉ, Cyril; ccTHOMAS, Olivier; ccBENACCHIO, Simon (Springer Verlag, 2014)
    This paper is devoted to the analysis of nonlinear forced vibrations of two particular three degrees-of-freedom (dofs) systems exhibiting second order internal resonances resulting from a harmonic tuning of their natural ...
  • Nonlinear dynamics of coupled oscillators in 1:2 internal resonance: effects of the non-resonant quadratic terms and recovery of the saturation effect 
    Article dans une revue avec comité de lecture
    SHAMI, Zein Alabidin; ccSHEN, Yichang; ccTOUZÉ, Cyril; ccTHOMAS, Olivier; ccGIRAUD-AUDINE, Christophe (Springer Science and Business Media LLC, 2022-08)
    This article considers the nonlinear dynamics of coupled oscillators featuring strong coupling in 1:2 internal resonance. In forced oscillations, this particular interaction is the source of energy exchange, leading to a ...

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