The Coupled Character Of Piezoelectric Smart Devices

ABSTRACT:Based on the elasticity theory of piezoelectric material, the following three problems are studied in the paper:(1) the steady-state forced vibration of the functionally graded piezoelectric beams. (2) the steady-state forced vibration of the piezoelectric-elastic laminated beams. (3) the theoretical analysis of a piezoelectric bimorph cantilever.For the first two problems, the response of the functionally graded piezoelectric beams (FGPM) and the piezoelectric-elastic beams can be got using the state-space differential quadrature method (SS-DQM). Along the length direction of the beam, the boundary conditions at both ends of the beam are considered in the discrete process. The mechanical and electric loads are introduced into the recurrence equation along the gradient direction of the FGPM beam. The frequencies of external dynamic loads and the mechanic and electric conditions at both ends of the beams are considered in the state space equation. In addition, the analytical solution of the piezoelectric bimorph cantilever under different boundary conditions can be got using the stress function method. A sensor model, driving the displacement model and driving force model are created and the factors affecting the performance of the models are analyzed. The paper gets some useful conclusions for the design and optimization of the piezoelectric sensors and actuators.