Nonlinear Active Vibration Control of Piezoelastic Laminated Plates Considering Interfacial Damage Effects

In this paper, the coupling of the direct and converse piezoelectric effects of the piezoelectric layers treated as sensor and actuator is considered, and a nonlinear active vibration control model for cross-ply piezoelastic laminated plates containing the damage effect of the intra-layer materials and inter-laminar interfaces is presented. The model is based on the general six-degrees-of-freedom plate theory and Von Karman-type of nonlinear strains. For the interfacial conditions, interfacial shear slip modeling between layers is introduced, which is depicted by three shape functions and interfacial damage variables. By using the Hamilton variation principle and the simple negative velocity feedback control algorithm, the active control of damping is derived to the nonlinear dynamic equations and used to actively control the vibration response of the plate. In numerical examples for simply supported laminated plates, this model is validated by comparison with existing results documented in the literature; the effects of feedback control gain and the location of piezoelectric layers on the vibration control is discussed, and different damage models on the nonlinear vibration response of piezoelectric laminated plate with interfacial imperfections are investigated.