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Because of the special material properties, the direct pie- zoelectric effect and the converse piezoelectric effect, piezo- electric material can be used as sensors or actuators. The con- cept of using a network of piezoelectric sensors and actuators to form a self-monitoring and self-controlling "smart system" has recently drawn considerable interest. Consider a composite plate containing piezoceramics on both upper and bottom surface. Based on the piezoelectricity with consideration for the coupling between the strain field and the electric field, a finite element formulation is developed. An eight-node three- dimensional brick element is used, and three- dimensional incompatible modes are introduced to take into ac- count the bending behavior of the structure. This study uses this code to analyze the response of the structure subjected to different boudary conditions and loading conditions. As the sensor electrical output is known, an inverse method is imple- mented to determine the voltage that should be applied to the actuator to reduce the deflection to a minimum. This study in- cludes different optimization method in the inverse analysis, and provides a model of direct control. The results of this study show that the deflections resul- ting from thermal loading could be reduced from the inverse analysis. An active control algorithm could be obtained based on enough analytical data. The optimum voltage of actuator is easy to determine from the control algorithm.
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