Control of Transient Thermoelastic Displacement in a Piezoelectric Based Intelligent Plate

Abstract

The present paper deals with an intelligent solid state actuator which can control a distribution of thermoelastic displacement at submicron order, in the case where unknown transient heating temperature acts on the actuator. The intelligent actuator consists of an isotropic structural layer onto which two piezoceramic layers of crystal class 6 mm are perfectly bonded. First, by analyzing an inverse problem of transient piezothermoelasticity, the unknown heating temperature acting on the structural layer is inferred from the electric potential induced in the middle piezoceramic layer. Next, analysis of a control problem leads to a transient electric potential applied to the top piezoceramic layer which gives the desired elastic displacement distribution on the free surface of the structural layer. Finally, numerical results are illustrated graphically.