Analysis of Active-Passive Plate Structures Using a Simple and Efficient Finite Element Model

In this work a simple and efficient finite element model is developed for vibration analysis of active-passive damped multilayer sandwich plates, with a viscoelastic core sandwiched between elastic layers, including piezoelectric layers. The elastic layers are modeled using the classical plate theory and the core is modeled using Reddy’s third-order shear deformation theory. The finite element is obtained by assembly of N “elements” through the thickness, using specific assumptions on the displacement continuity at the interfaces between layers. To achieve a mechanism for the active control of the structural dynamics response, a feedback control algorithm is used, coupling the sensor and active piezoelectric layers. The dynamic analysis of active-passive damped multilayer sandwich plate structures is conducted in frequency domain to obtain the natural frequencies and respective loss factors, and in time domain for steady state harmonic motion. For both analyses, a finite element code is implemented. The model is applied in the solution of some illustrative examples and the results are presented and discussed.

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