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Optimization of Electro-mechanical Smart Structures

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Constrained Optimization and Optimal Control for Partial Differential Equations

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 160))

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Abstract

We present topology optimization of piezoelectric loudspeakers using the SIMP method and topology gradient based methods along with analytical and numerical results.

Mathematics Subject Classification (2000). 90C30, 74P15.

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Author information

Authors and Affiliations

  1. Haberstr. 2, D-91052, Erlangen, Germany

    Eberhard Bänsch

  2. Universitätsstr. 65-67, A-9020, Klagenfurt, Austria

    Manfred Kaltenbacher

  3. Martensstr. 3, D-91052, Erlangen, Germany

    Günter Leugering

  4. Nägelsbachstr. 49b, D-91052, Erlangen, Germany

    Fabian Schury & Fabian Wein

Authors
  1. Eberhard Bänsch
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  2. Manfred Kaltenbacher
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  3. Günter Leugering
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  4. Fabian Schury
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  5. Fabian Wein
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Corresponding author

Correspondence to Eberhard Bänsch .

Editor information

Editors and Affiliations

  1. , Department Mathematik, Universität Erlangen-Nürnberg, Martensstr. 3, Erlangen, 91058, Germany

    Günter Leugering

  2. , Fakultät Bio- und Chemieingenieurwesen, Technische Universität Dortmund, Geschossbau 2, Dortmund, 44221, Germany

    Sebastian Engell

  3. , Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, Berlin, 12489, Germany

    Andreas Griewank

  4. , Fachbereich Mathematik, Universität Hamburg, Bundesstr. 55, Hamburg, 20146, Germany

    Michael Hinze

  5. , Institut für Angewandte Mathematik, Ruprecht-Karls-Universität Heidelberg, Im Neuenheimer Feld 293, Heidelberg, 69120, Germany

    Rolf Rannacher

  6. , FB 4 - Department Mathematik, Universität Trier, Trier, 54286, Germany

    Volker Schulz

  7. Fakultät für Mathematik, M1, Lehrstuhl für Mathematische Optimierung, Technische Universität München, Boltzmannstr. 3, Garching bei München, 85748, Germany

    Michael Ulbrich

  8. , Fachbereich Mathematik, Technische Universität Darmstadt, Dolivostrasse 15, Darmstadt, 64293, Germany

    Stefan Ulbrich

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Bänsch, E., Kaltenbacher, M., Leugering, G., Schury, F., Wein, F. (2012). Optimization of Electro-mechanical Smart Structures. In: Leugering, G., et al. Constrained Optimization and Optimal Control for Partial Differential Equations. International Series of Numerical Mathematics, vol 160. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0133-1_26

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