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26 July 2004 Finite element formulation of orthotropic piezoceramic patch actuator laminated plates
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Constitutive and finite element models of a piezoceramic laminated plate are derived using shear deformation (Mindlin plate) theory for each layer, where constraints are added to ensure the elastic deformation continuity at the interface. The major difference of this study compared to previous studies is that the finite element formulation is applicable to both thin and thick laminated plates with thick PZT wafers where electro-mechanical coupling occurs due to either electrical or mechanical input. This formulation allows the cross section of each layer to rotate individually, which increases the accuracy compared to conventional formulations in the literature. An experimental study is conducted to identify the piezoelectric constants of the PZT wafer in 31 and 32 directions and the effect of the directional piezoelectric actuation (g31 ≠ g32) is embedded in the formulation where the PZT layer is formulated as an orthotropic structure. A combination of Lagrange bilinear and Serendipity quadratic elements with 4 and 8 nodes, respectively, are used for approximating the degrees of freedom of the system and to apply the finite element procedure in MATLAB. The proposed FE solution with directional actuation that accounts for orthotropic properties is compared to an FE solution based on thin plate theory with isotropic piezoelectric actuation (g31 = g32) and isotropic material properties. Modeling accuracy is evaluated by comparison with experimental measurements along with a passive control application.
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Ziya Koray Kusculuoglu and Thomas J. Royston "Finite element formulation of orthotropic piezoceramic patch actuator laminated plates", Proc. SPIE 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control, (26 July 2004);

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