Abstract
Classical laminated plate theory (CLT) has been applied successfully in the past to laminates with discrete piezoelectric patches bonded to the surface or embedded within the layers (1–7). The basic assumptions made in the earlier models were that the strains inside the patches are assumed to be constant and hence the presence of the sensor and actuator patches were neglected while modeling the dynamic properties of the laminate. The validity of these assumptions, the effect of the size of the patches and these assumptions on the solutions obtained, has not been studied. In this paper, the CLT is applied to a laminate with surface-bonded piezoelectric patches without the above-mentioned assumptions. A detailed modeling of the patches is developed by expressing the electric potential inside the patch as a quadratic function of thickness coordinate. The equations of motion are derived for a generally orthotropic laminate and solution method for these equations. Analytical solutions are obtained for a plate bonded with one and five collocated piezoelectric actuator/sensor patches. The effect of the passive and active stiffness of the surface bonded actuator and sensor patches on the dynamic characteristics of host plate structure is studied.
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