Taillard, Pierre-André

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Taillard
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Pierre-André
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Taillard, Pierre-André

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20141
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Autor:in: Dalmont, Jean-Pierre × Dateien dazu vorhanden?: Nein ×

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    Publikation
    Statistical Estimation of Mechanical Parameters of Clarinet Reeds Using Experimental and Numerical Approaches
    (Hirzel, 2014) Taillard, Pierre-André; Gross, Michel; Dalmont, Jean-Pierre; Kergomard, Jean; Laloë, Franck [in: Acta Acustica united with Acustica]
    A set of 55 clarinet reeds is observed by holography, collecting 2 series of measurements made under 2 different moisture contents, from which the resonance frequencies of the 15 first modes are deduced. A statistical analysis of the results reveals good correlations, but also significant differences between both series. Within a given series, flexural modes are not strongly correlated. A Principal Component Analysis (PCA) shows that the measurements of each series can be described with 3 factors capturing more than 90% of the variance: the first is linked with transverse modes, the second with flexural modes of high order and the third with the first flexural mode. A forth factor is necessary to take into account the individual sensitivity to moisture content. Numerical 3D simulations are conducted by Finite Element Method, based on a given reed shape and an orthotropic model. A sensitivity analysis revels that, besides the density, the theoretical frequencies depend mainly on 2 parameters: EL and GLT . An approximate analytical formula is proposed to calculate the resonance frequencies as a function of these 2 parameters. The discrepancy between the observed frequencies and those calculated with the analytical formula suggests that the elastic moduli of the measured reeds are frequency dependent. A viscoelastic model is then developed, whose parameters are computed as a linear combination from 4 orthogonal components, using a standard least squares fitting procedure and leading to an objective characterization of the material properties of the cane Arundo donax.
    01A - Beitrag in wissenschaftlicher Zeitschrift