Mr. Ziya Koray Kusculuoglu Profile

Ziya Koray Kusculuoglu

Mechanical Engineer MS at Univ of Illinois at Chicago

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Proceedings Article | 26 July 2004 Paper

Finite element formulation of orthotropic piezoceramic patch actuator laminated plates

Ziya Koray Kusculuoglu, Thomas Royston

Proceedings Volume 5383, (2004) https://doi.org/10.1117/12.539007

KEYWORDS: Chemical elements, Ferroelectric materials, Finite element methods, Semiconducting wafers, Control systems, Actuators, Composites, Matrices, Smart materials, Systems modeling

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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.

Proceedings Article | 10 July 2002 Paper

New constitutive model for vibrations of a beam with a piezoceramic patch actuator

Ziya Kusculuoglu, Behrooz Fallahi, Thomas Royston

Proceedings Volume 4693, (2002) https://doi.org/10.1117/12.475206

KEYWORDS: Matrices, Actuators, Finite element methods, Aluminum, Semiconducting wafers, Kinematics, Vibration control, Control systems, Modal analysis, Chemical elements

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Piezoceramic wafer (patch) actuators have been used for the excitation and control of vibrations of beam and plate-like structures. Accurate constitutive modeling of the beam or plate with a piezo-patch actuator adhered to it is an important aspect to understanding this problem. In this paper, a multi-layered beam model is presented that predicts natural frequencies of the open-circuited beam-patch system. Both the beam and the patch actuator are modeled as Timoshenko beams. Constraints are introduced to ensure continuity of the axial and transverse displacements at the interface of the two Timoshenko beams. The cross section of each layer is allowed to take different values, which adds an additional degree of freedom to the system. The displacement equation of each Timoshenko beam is represented in a factored matrix form. This factored matrix form is utilized to develop a procedure for derivation of element mass and stiffness matrices using a symbolic manipulation program (MAPLE). MAPLE is used to form the global mass and stiffness matrices. An eigenvalue analysis is conducted and natural frequencies of the layered beam are calculated. To verify the model, experimental studies are performed to determine cantilevered beam-patch system natural frequencies. Better agreement between the theoretical and experimental results is observed than could be obtained using Euler's (thin) beam theory.

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