Optimal Data Selection for Piezoelectric Material Characterization
Identifieur interne : 000786 ( Istex/Curation ); précédent : 000785; suivant : 000787Optimal Data Selection for Piezoelectric Material Characterization
Auteurs : Tom Lahmer [Allemagne] ; Barbara Kaltenbacher [Allemagne] ; Volker SchulzSource :
- PAMM [ 1617-7061 ] ; 2006-12.
Abstract
In the simulation and design of piezoelectric transducers the exact knowledge of the entries in the material tensors ‐ the elastic, dielectric and piezoelectric coupling coefficients ‐ is an important prerequisite. Our task is the identification of these coefficients from indirect measurements, namely electric impedance data at different frequencies. This leads to a parameter identification problem for a system of coupled PDEs, which we solve by regularized Newton iterations. A crucial issue is the selection of frequencies at which measurements are taken. Here, we discuss the problem of choosing these frequencies in an optimal way to preserve efficiency of our identification scheme while improving reliability of the reconstruction results. For this purpose, we formulate this task as an optimization problem with PDE constraints and propose two approaches for its solution. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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DOI: 10.1002/pamm.200610375
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Volker Schulz<affiliation><mods:affiliation>Tom Lahmer, Phone: +49 9131 8523144Barbara Kaltenbacher, Phone: +49 9131 8527183Volker Schulz, Phone: +49 651 201 3484</mods:affiliation><wicri:noCountry code="subField">3484</wicri:noCountry></affiliation>Le document en format XML
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Barbara" uniqKey="Kaltenbacher B" first="Barbara" last="Kaltenbacher">Barbara Kaltenbacher</name><affiliation wicri:level="1"><mods:affiliation>Friedrich‐Alexander University Erlangen, Department of Sensor Technology Paul‐Gordan Str. 3‐5, D‐91052 Erlangen, Germany</mods:affiliation><country xml:lang="fr">Allemagne</country><wicri:regionArea>Friedrich‐Alexander University Erlangen, Department of Sensor Technology Paul‐Gordan Str. 3‐5, D‐91052 Erlangen</wicri:regionArea></affiliation><affiliation><mods:affiliation>Tom Lahmer, Phone: +49 9131 8523144Barbara Kaltenbacher, Phone: +49 9131 8527183Volker Schulz, Phone: +49 651 201 3484</mods:affiliation><wicri:noCountry code="subField">3484</wicri:noCountry></affiliation></author><author><name sortKey="Schulz, Volker" sort="Schulz, Volker" uniqKey="Schulz V" first="Volker" last="Schulz">Volker Schulz</name><affiliation><mods:affiliation>FB 4 ‐ Department of Mathematics, Building E, University of Trier, 54286 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Appl. Math. Mech.</title><idno type="ISSN">1617-7061</idno><idno type="eISSN">1617-7061</idno><imprint><publisher>WILEY‐VCH Verlag</publisher><pubPlace>Berlin</pubPlace><date type="published" when="2006-12">2006-12</date><biblScope unit="volume">6</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="789">789</biblScope><biblScope unit="page" to="790">790</biblScope></imprint><idno type="ISSN">1617-7061</idno></series><idno type="istex">72D8EBEFD46E592217945560FF9D61822556E653</idno><idno type="DOI">10.1002/pamm.200610375</idno><idno type="ArticleID">PAMM200610375</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">1617-7061</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In the simulation and design of piezoelectric transducers the exact knowledge of the entries in the material tensors ‐ the elastic, dielectric and piezoelectric coupling coefficients ‐ is an important prerequisite. Our task is the identification of these coefficients from indirect measurements, namely electric impedance data at different frequencies. This leads to a parameter identification problem for a system of coupled PDEs, which we solve by regularized Newton iterations. A crucial issue is the selection of frequencies at which measurements are taken. Here, we discuss the problem of choosing these frequencies in an optimal way to preserve efficiency of our identification scheme while improving reliability of the reconstruction results. For this purpose, we formulate this task as an optimization problem with PDE constraints and propose two approaches for its solution. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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