Static and dynamic responses analysis for 1–3 piezocomposite laminates with Interdigitated Electrodes

Abstract

The static and dynamic responses analysis for the 1-3 piezocomposite laminates equipped with Interdigitated Electrodes (IDE) is performed with analytical method. In the static analysis, the solution of the derived governing dif ferential equations is obtained through the power series expansion and Fourier expansion methods. In the dynamic analysis, the governing equations for the transverse vibration are established bas ed on the thin plate theory, and the solutions are obtained through the separation of variables and Fourier expansion methods. The illustrative analysis is carried out to investigate the static and dynamic characteristics of the laminated plates. The numerical results show that, the magnitude of shear curvature gradually increases with the increment of the stiffness anisotropy and the free-strain anisotropy of the piezocomposite and the vibration suppression can be also achieved by adopting a time-dependent control voltage to the IDE of the piezocomposite. Investigators have developed several numerical and analytical models for the static and dynamic control of laminated plates with piezoelectric ceramic sensors and actuators. A pioneering work is due to Alik and Hughes (4), which analyzed the interactions between electricity and elasticity. Ray et al. (5) studied the exact static analysis of piezoelectric plates under cyl indrical bending. Comparing with the analysis of laminate plates with piezoelectric layers, the work repo rted in the area of laminated plate with 1-3 piezocomposite layers is still quite limited, especially f or the analytical analysis of the static and dynamic control of laminates with 1-3 piezoelectric composite layer equipped with the IDE. In this paper, the static