Comportement vibratoire du steelpan : effet des procédés de fabrication et dynamique non linéaire

Abstract : This study is devoted to the steelpan, a harmonically tuned percussion from Trinidad and Tobago. It consists in a steel barrel subjected to several steps of irreversible metal forming to obtain a main spherical bowl within wich convex domes are formed. This work is mainly focused on two topics. Firstly, the study of the making processes allows us to gain a better understanding of the work of the tuner in order to propose a model of the first step of steelpan making. Secondly, a vibration analysis of the steelpan, at the end of this process, is performed to understand its dynamics which is responsible of its particular tone. In the first part of the manuscript we study the evolution of the dynamical parameters during manufacturing. In particular, mode localization after note forming, strong variations of modal dampings, natural frequencies after burning and harmonic relationships after fine tuning are observed. The second part of the manuscript focusses on the first step of manufacturing during which the top of the barrel is hammered to obtain the spherical shell. The shell is analytically modeled as a nonlinear von Karman plate and the plastic strains are introduced as initial inelastic strains. The effect of the geometry and of the residual stress fields are separately quantified on the dynamical parameters of the structure in its final equilibrium state. The last part is concerned with the complex nonlinear dynamics of the steelpan at the end of the forming process. During normal playing, energy exchanges between modes are clearly identifiable: they result in a rich sound due to numerous internal resonances. Modal coupling are measured even for small amplitudes of vibrations. Original models of internal resonances are proposed.
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Submitted on : Wednesday, December 4, 2013 - 10:50:14 AM
Last modification on : Wednesday, July 3, 2019 - 10:48:05 AM
Long-term archiving on : Saturday, April 8, 2017 - 3:28:45 AM

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Mélodie Monteil. Comportement vibratoire du steelpan : effet des procédés de fabrication et dynamique non linéaire. Vibrations [physics.class-ph]. ENSTA ParisTech, 2013. Français. ⟨pastel-00913650⟩

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