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Modellierung, Simulation und Schwingungsreduktion dünner Schalen mit piezoelektrischen Wandlern

Modeling, simulation and vibration reduction of thin shells with piezoelectric transducers

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Zusammenfassung

In diesem Beitrag wird zuerst eine elektromechanisch gekoppelte Theorie für dünne Schalen mit piezoelektrischen Wandlern im Rahmen einer geometrisch nichtlinearen Formulierung vorgestellt. Hierbei wird eine Schale als materielle Fläche mit mechanischen und elektrischen Freiheitsgraden modelliert. Eine Finite Elemente Implementierung beschließt den ersten Teil der Arbeit. Im zweiten Teil des Beitrags wird die vorgestellte Theorie mit Hilfe von Vergleichsrechnungen mit dem kommerziell erhältlichen Finite Elemente Programm Abaqus sowie mit Ergebnissen aus der Literatur verifiziert, um dann im dritten Teil der Arbeit zur Schwingungsreduktion zur Anwendung gebracht zu werden. Der vorliegende Beitrag endet mit einer experimentellen Untersuchung der passiven Schwingungsreduktion einer dünnen Schale mit piezoelektrischen Wandlern unter Verwendung der Methode des passiven Shunt Dampings.

Abstract

In the present paper a geometrically nonlinear electromechanically coupled theory for thin shells with piezoelectric transducers is presented. Within this theory the shell is modelled as a material surface with mechanical and electrical degrees of freedom. A Finite Element implementation completes the first part of the paper. In the second part of the paper the shell theory is verified by a comparison to results computed with the commercially available Finite Element code Abaqus as well as to results from the literature. In the third part of the paper the theory is applied to the problem of vibration reduction in thin shells with piezoelectric transducers. Simulation results and experimental results are presented, in which the method of passive shunt damping is used.

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Authors and Affiliations

  1. Institut für Mechanik und Mechatronik, Technische Universität Wien, Getreidemarkt 9, 1060, Wien, Österreich

    Michael Krommer & Yury Vetyukov

  2. Institut für Mechatronik, Universität Innsbruck, Technikerstraße 13a, 6020, Innsbruck, Österreich

    Michael Pieber

Authors
  1. Michael Krommer
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  2. Michael Pieber
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  3. Yury Vetyukov
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Corresponding author

Correspondence to Michael Krommer.

Additional information

Die Autoren bedanken sich für die Unterstützung durch die Linz Center of Mechatronics GmbH im Rahmen des COMET-K2 Zentrums ACCM und beim Fraunhofer Zentrum LBF sowie beim LOEWE Zentrum AdRIA in Darmstadt für die Unterstützung bei der Durchführung der experimetellen Untersuchungen.

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Krommer, M., Pieber, M. & Vetyukov, Y. Modellierung, Simulation und Schwingungsreduktion dünner Schalen mit piezoelektrischen Wandlern. Elektrotech. Inftech. 132, 437–447 (2015). https://doi.org/10.1007/s00502-015-0375-5

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  • DOI: https://doi.org/10.1007/s00502-015-0375-5

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