Mathematical analysis of piezoelectric sandwich torsion transducers based on the d36-effect

Michael Krommer, Christian Zehetner

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In the present article, we analyze a d36-effect piezoelectric torsion transducer following the Saint-Venant torsion theory taking the electrical field into account. A representation of the stress function, the electric potential, and the warping function are derived and solved with finite differences. Then, the one-dimensional governing equations at the structural beam level, including the constitutive relations as well as the balance equations for the dynamics of the transducer, are presented. The axial moment and the total charge are computed as functions of the rate of twist and the applied potential difference. As an example, a cantilevered transducer is studied.

Original languageEnglish
Pages (from-to)19-32
Number of pages14
JournalMechanics of Advanced Materials and Structures
Volume22
Issue number1-2
DOIs
Publication statusPublished - 2 Jan 2015

Keywords

  • Actuation and sensing
  • D-effect
  • Piezoelectric sandwich torsion transducers
  • Saint-Venant solution

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