Statistical Estimation of Mechanical Parameters of Clarinet Reeds Using Experimental and Numerical Approaches
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Autor:innen
Autor:in (Körperschaft)
Publikationsdatum
2014
Typ der Arbeit
Studiengang
Typ
01A - Beitrag in wissenschaftlicher Zeitschrift
Herausgeber:innen
Herausgeber:in (Körperschaft)
Betreuer:in
Übergeordnetes Werk
Acta Acustica united with Acustica
Themenheft
DOI der Originalpublikation
Reihe / Serie
Reihennummer
Jahrgang / Band
100
Ausgabe / Nummer
Seiten / Dauer
555-573
Patentnummer
Verlag / Herausgebende Institution
Hirzel
Verlagsort / Veranstaltungsort
Auflage
Version
Programmiersprache
Abtretungsempfänger:in
Praxispartner:in/Auftraggeber:in
Zusammenfassung
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.
Schlagwörter
Musical acoustics
Fachgebiet (DDC)
Veranstaltung
Startdatum der Ausstellung
Enddatum der Ausstellung
Startdatum der Konferenz
Enddatum der Konferenz
Datum der letzten Prüfung
ISBN
ISSN
0001-7884
1436-7947
1610-1928
1861-9959
1436-7947
1610-1928
1861-9959
Sprache
Englisch
Während FHNW Zugehörigkeit erstellt
Ja
Publikationsstatus
Veröffentlicht
Begutachtung
Peer-Review der ganzen Publikation
Open Access-Status
Lizenz
Zitation
TAILLARD, Pierre-André, Michel GROSS, Jean-Pierre DALMONT, Jean KERGOMARD und Franck LALOË, 2014. Statistical Estimation of Mechanical Parameters of Clarinet Reeds Using Experimental and Numerical Approaches. Acta Acustica united with Acustica. 2014. Bd. 100, S. 555–573. DOI 10.3813/AAA.918735. Verfügbar unter: http://hdl.handle.net/11654/12183