On Higher-Order Modelling of Smart Beams with Embedded Shear-Mode Piezoceramic Actuators and Sensors
Title:
On Higher-Order Modelling of Smart Beams with Embedded Shear-Mode Piezoceramic Actuators and Sensors
Author:
Trindade, Marcelo A. Benjeddou, Ayech
Appeared in:
Mechanics of advanced materials & structures
Paging:
Volume 13 (2006) nr. 5 pages 357-369
Year:
2006-08-01
Contents:
A refined sandwich beam model is proposed in the present work. The mechanical model is a refinement of the classical sandwich theory (CST), where the core is modelled with a third-order shear deformation theory (TSDT). It is shown that the electromechanical coupling with the higher-order strains requires a third-order through-thickness model for the electric potential. Using these assumptions, a finite element (FE) model is developed considering, through the beam length, electrically: constant electric difference of potentials for the piezoelectric facing and core layers and quadratic third-order variable of the electric potential in the core, while mechanically: linear axial displacement and quadratic bending rotation of the core, and cubic transverse displacement of the sandwich beam. The proposed FE model is then compared with analytical and numerical CST, that use a first-order shear deformation theory (FSDT) in the core, and analytical equivalent single layer (ESL) models for a continuous piezoceramic core. It is shown that even when acting as an actuator, there exists a third-order induced potential in the piezoceramic material which may yield an overall stiffer structure. A comparison between FSDT and TSDT FE results for a piezoceramic embedded in an elastic core is also performed to evaluate the electrical and mechanical model refinements.
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