Taillard, Pierre-André

Taillard, Pierre-André


Gerade angezeigt 1 - 4 von 4
  • Publikation
    Modal analysis of the input impedance of wind instruments. Application to the sound synthesis of a clarinet
    (Elsevier, 2018) Taillard, Pierre-André [in: Applied Acoustics]
    01A - Beitrag in wissenschaftlicher Zeitschrift
  • Publikation
    An Analytical Prediction of the Bifurcation Scheme of a Clarinet-Like Instrument: Effects of Resonator Losses
    (Hirzel, 2015) Taillard, Pierre-André; Kergomard, Jean [in: Acta Acustica united with Acustica]
    The understanding of the relationship between excitation parameters and oscillation regimes is a classical topic concerning bowed string instruments. The paper aims to study the case of reed woodwinds and attempts to find consequences on the ease of playing. In the minimum model of clarinet-like instruments, three parameters are considered: i) the mouth pressure, ii) the reed opening at rest, iii) the length of the resonator assumed to be cylindrical. Recently a supplementary parameter was added: the loss parameter of the resonator (using the “Raman model”, that considers resonator losses to be independent of frequency). This allowed explaining the extinction of sound when the mouth pressure becomes very large. The present paper presents an extension of the paper by Dalmont et al. (JASA, 2005), searching for a diagram of oscillation regimes with respect to the reed opening and the loss parameter. An alternative method is used, which allows easier generalization and simplifies the calculation. The emphasis is done on the emergence bifurcation: for very strong losses, it can be inverse, similarly to the extinction one for weak losses. The main part of the calculations are analytical, giving clear dependence of the parameters. An attempt to deduce musical consequences for the player is given.
    01A - Beitrag in wissenschaftlicher Zeitschrift
  • 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
  • Publikation
    Iterated maps for clarinet-like systems
    (Springer, 2010) Taillard, Pierre-André; Kergomard, Jean; Laloë, Franck [in: Nonlinear Dynamics]
    The dynamical equations of clarinet-like systems are known to be reducible to a non-linear iterated map within reasonable approximations. This leads to time oscillations that are represented by square signals, analogous to the Raman regime for string instruments. In this article, we study in more detail the properties of the corresponding non-linear iterations, with emphasis on the geometrical constructions that can be used to classify the various solutions (for instance with or without reed beating) as well as on the periodicity windows that occur within the chaotic region. In particular, we find a regime where period tripling occurs and examine the conditions for intermittency. We also show that, while the direct observation of the iteration function does not reveal much on the oscillation regime of the instrument, the graph of the high order iterates directly gives visible information on the oscillation regime (characterization of the number of period doubligs, chaotic behaviour, etc.).
    01A - Beitrag in wissenschaftlicher Zeitschrift