ANALYSIS FOR DYNAMIC AND ACTIVE VIBRATION CONTROL OF PIEZOELECTRIC FUNCTIONALLY GRADED PLATES BASED ON ISOGEOMETRIC METHOD

An isogeometric analysis method based on third-order shear deformation theory is proposed to solve the dynamic response and active vibration control of functionally graded plates (FGPs) with surface-bonded piezoelectric layers. The material properties of FGPs are assumed to be graded through the thickness by a power law distribution, and the variation of electric potential is assumed to be linear in the direction of the thickness of the piezoelectric layer. The isogeometric-analysis finite-element formulation of the piezoelectric functionally graded plates (PFGPs) is derived by utilizing the linear piezoelectric constitutive equation and Hamiltonian principle. The availability and accuracy of the present method are verified by the analysis of the static bending responses of smart piezoelectric structures. The dynamic response and active vibration control analyses of the plate are calculated via Newmark-β direct integration method. The neutral plane is introduced to avoid the control instability caused by stretching-bending coupling effect when the sensor and the actuator are bonded on the upper and lower surfaces of the FGPs, respectively. Besides, the voltage responses of the sensor and the actuator of the two structures in the vibration control process are analyzed.