Abstract
This paper deals with an adaptable stress control problem in a multilayer composite disk consisting of a transversely isotropic structural layer onto which piezoelectric layers are bonded. The piezoelectric layer next to the structural layer serves as a sensor and the other piezoelectric layers serve as actuators. It is assumed that a transient electric potential distribution is measured on the sensor layer when an unknown transient heating temperature distribution acts on the structural layer. The inverse thermoelastic problem is analyzed by employing the potential function methods as well as the finite difference method, so that the unknown heating temperature is determined from a knowledge of the electric potential distribution induced on the sensor layer. The transient maximum thermal stress in the structural layer can be suppressed by applying appropriate transient voltages to electrodes arranged on each actuator layer. The applied voltages are determined by optimization in order to minimize the maximum thermal stress at arbitrary time.
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