Engineering Mechanics

International Conference

Proceedings Vol. 18 (2012)


ENGINEERING MECHANICS 2012

18th INTERNATIONAL CONFERENCE
May 14 – 17, 2012, Svratka, Czech Republic
;
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2012 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-39-0 (printed, Extended Abstracts)
ISBN 978-80-86246-40-6 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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Bending of functionally graded circular plates with piezoelectric layer by the MLPG method
P. Staňák, J. Sládek, V. Sládek, S. Krahulec
pages 1207 - 1217, full text

A meshless local Petrov-Galerkin (MLPG) method is applied to solve bending of circular plate with piezoelectric layer attached at the top. Plate is analyzed as a 3D axisymmetric. Functionally graded material properties with continuous variation in the plate thickness direction are considered. Piezoelectric layer with applied nonzero voltage difference acts as a piezoelectric actuator, thus deflection of the plate can be controlled. Local integral equations are defined from the set of governing equations for mechanical and electric fields using appropriate test functions. Spatial variation of all physical fields is approximated by the moving least-squares (MLS) method only in terms of nodes. After performing all spatial integrations the system of ordinary differential equations is finally obtained and solved by Houbolt finite-difference scheme.


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