Shape control of coupled nonlinear piezoelectric beams

Achuthan, Ajit, Keng, Ang Kok and Wang, Chien Ming (2000) Shape control of coupled nonlinear piezoelectric beams. Smart Materials and Structures, 10 5: 914-924. doi:10.1088/0964-1726/10/5/308

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Author Achuthan, Ajit
Keng, Ang Kok
Wang, Chien Ming
Title Shape control of coupled nonlinear piezoelectric beams
Journal name Smart Materials and Structures   Check publisher's open access policy
ISSN 0964-1726
Publication date 2000-08-22
Sub-type Article (original research)
DOI 10.1088/0964-1726/10/5/308
Open Access Status Not yet assessed
Volume 10
Issue 5
Start page 914
End page 924
Total pages 11
Publisher IOP
Language eng
Abstract This paper deals with the shape control of composite laminated beams with nonlinear piezoelectric patch actuators. The governing electromechanical coupled equations for nonlinear material behaviour are developed for a general three-dimensional structural element using Gibbs free energy formulation. In the analysis, nonlinearity is accounted for by incorporating enough nonlinear terms in the Gibbs free energy expression. Since many of the higher-order material properties are not available for most of the piezoelectric materials, the experimental data that are available for the nonlinear relationship between the electric field and the electric displacement are used. A finite element model is developed for the beam with piezoelectric actuators using a modified bilinear four-noded quadratic element. The expression for the actuation voltages required for shape control is then obtained by minimizing an error function, which is a measure of the area between the achieved and desired shape. The final system of coupled equations is solved by an iterative finite element procedure. Numerical results are obtained for several piezoelectric patch configurations on beams with various boundary conditions. The results show the significance of nonlinear effects in the shape control of beams with piezoelectric actuators, which has hitherto not been accounted.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mechanical & Mining Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 14 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 24 times in Scopus Article | Citations
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Created: Sat, 14 Jan 2017, 02:12:31 EST by Clare Nelson on behalf of School of Mechanical and Mining Engineering