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The equations governing the linear response of a coupled piezothermoelastic composite plate, considering the pyroelectric effect, are outlined. The finite element method with linear shape functions for a first-order shear deformation theory of laminated plates is used to obtain the deflections and temperature. The finite element equations are developed for a piezothermoelectric sensor and actuator. The governing equations are solved using the time-marching method. Numerical results are presented for the conventional active direct proportional control of the plate. Controlled and uncontrolled displacements and temperature responses are graphically illustrated. The corresponding temperature response with consideration of the pyroelectric effects is also presented. Dynamic case studies are carried out to observe the pyroelectric effects in the piezothermoelastic control systems.
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Heidary et al. (2005) studied this question.
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