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Effectivity of Piezoelectric Transition Elements in Modelling of Electro-Mechanical Systems

Effectivity of Piezoelectric Transition Elements in Modelling of Electro-Mechanical Systems AbstractThe paper presents the coupled electro-mechanical problem. In the numerical analysis of the issue, piezoelectric solid-to-shell transition elements were applied. They combine three-dimensional or hierarchical shell piezoelectric elements with piezoelectric first order elements. The mentioned first order of the element refers to the field of transversal displacements of an element. The mechanical field of the discussed piezoelectric elements may correspond to: the model of three-dimensional theory of elasticity, hierarchical shell models of higher orders or the first order shell model. The electrical field of the potential may be modelled with hierarchical dielectric first order models or higher in transverse direction or with a three-dimensional theory. Effectiveness of modification of algorithms of classical piezoelectric elements was assessed in this paper. To perform such an assessment, curves of convergence of hp method in model tasks are presented. Curves obtained with the use of classical and modified piezoelectric transition elements were set and compared. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Agricultural Engineering de Gruyter

Effectivity of Piezoelectric Transition Elements in Modelling of Electro-Mechanical Systems

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References (6)

Publisher
de Gruyter
Copyright
© 2019 Magdalena Zielińska et al., published by Sciendo
ISSN
0567-8315
eISSN
2449-5999
DOI
10.1515/agriceng-2019-0020
Publisher site
See Article on Publisher Site

Abstract

AbstractThe paper presents the coupled electro-mechanical problem. In the numerical analysis of the issue, piezoelectric solid-to-shell transition elements were applied. They combine three-dimensional or hierarchical shell piezoelectric elements with piezoelectric first order elements. The mentioned first order of the element refers to the field of transversal displacements of an element. The mechanical field of the discussed piezoelectric elements may correspond to: the model of three-dimensional theory of elasticity, hierarchical shell models of higher orders or the first order shell model. The electrical field of the potential may be modelled with hierarchical dielectric first order models or higher in transverse direction or with a three-dimensional theory. Effectiveness of modification of algorithms of classical piezoelectric elements was assessed in this paper. To perform such an assessment, curves of convergence of hp method in model tasks are presented. Curves obtained with the use of classical and modified piezoelectric transition elements were set and compared.

Journal

Agricultural Engineeringde Gruyter

Published: Jun 1, 2019

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