Equations for the Control of the Flexural Vibrations of Composite Plates byPartially Electroded Piezoelectric Actuators

摘要

A system of two-dimensional equations for the flexural vibrations of symmetriccomposite plates with both unelectroded and electroded portions of piezoelectric actuators attached to the top and bottom surfaces is obtained. The resulting system of equations is applied in the analysis of the cylindrical bending of a composite plate caused by voltages applied to partially electroded piezoelectric actuators. It is shown that no shearing stress is transferred across the interfaces between the electroded portions of the actuators and the composite plate and that an exponentially decaying shearing stress is transferred across the interfaces in the unelectroded regions of the actuators. The resulting finite shearing stress shows that when the electrodes end a short distance from the edge of the actuator, the undesirable singular shearing stress distribution that exists when the electrodes extend to the edge of the actuator is eliminated. (MM).