Abstract
This paper discusses a control problem of a transient thermal stress in a smart multi-layer composite disk consisting of a transversely isotropic structural layer onto which piezoelectric layers of crystal 6mm are perfectly bonded. The first piezoelectric layer serves as a sensor and the other piezoelectric layers serve as an actuator. It is assumed that a number of electrodes are arranged concentrically on the upper surface of each actuator layer. When an unknown heating temperature distribution acts on the bottom surface of the composite disk, a transient electric potential distribution is considered to be measured on the upper surface of the sensor layer. The unknown heating temperature can be inferred from the measured electric potential. Then, voltages applied to all electrodes can be determined by optimization so that the maximum transient thermal stress in the structural layer is minimized subject to constrains on the stresses in the piezoelectric layers. Finally, numerical results are shown in a table.
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