<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The 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 <italic>hp</italic> method in model tasks are presented. Curves obtained with the use of classical and modified piezoelectric transition elements were set and compared.</p></abstract>

The 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.

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

Department of Mechanics and Foundations of Machines Construction

University of Warmia and Mazury in Olsztyn

Institute of Flow Machines of the Polish Academy of Sciences in Gdansk

Agricultural Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The paper presents the coupled electro-mechanical problem. In the numerical analysis of the issue, piezoelectric solid-to-shell transition elements were...

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

Published Online: Sep 09, 2019

Page range: 93 - 101

Received: Mar 01, 2019

Accepted: May 01, 2019

DOI: https://doi.org/10.1515/agriceng-2019-0020

Keywords
finite elements method, piezoelectric elements, transition models, numerical solution convergence

© 2019 Magdalena Zielińska et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Sep 09, 2019

Page range: 93 - 101

Received: Mar 01, 2019

Accepted: May 01, 2019

DOI: https://doi.org/10.1515/agriceng-2019-0020

Keywordsfinite elements method, piezoelectric elements, transition models, numerical solution convergence

© 2019 Magdalena Zielińska et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
finite elements method, piezoelectric elements, transition models, numerical solution convergence