Numerical Simulation And Vibration Control Research Of Piezoelectric Multilayered Structures

Laminated piezoelectric smart structures consist of elastic materials, piezoelectric materials and bonding layers. The complicated inter-coupling effects between elastic and electric field exist in smart structures. Consequently, establishing analysis model that can accurately describe static-dynamic response of the laminated piezoelectric smart structures under external load, modeling the behavior of quantitative design, optimization and computer simulation of the electro-mechanical coupling; exploring the macroscopical field coupling of mechanical and electric field, discussing the computational theory and method of electro-mechanical coupling problem, optimizing laminated piezoelectric-magnetic smart structures, sensor and actuator layer depth, thickness and place, developing the finite element model and theory formula of laminated smart structures embedded sensor and actuator layers, carrying out the static analysis, shape control and active control. All these problems mentioned above are urgent to solve. The main contents of this paper are as follows:1. Finite element equation derivation and analysis model establishment of laminated piezoelectric smart structure. By properly approximating the electric and elastic field, the finite element analysis model and calculation formula of laminated piezoelectric structure are established according to Hamilton principle and magnetic-electro-mechanical-thermal constitutive equation. Programs are compiled based on ANSYS/APDL preparing for static analysis and active control.2. Static analysis of laminated piezoelectric smart structures. The effect of bonding layers was ignored in most of the existed piezoelectric FE model, although bonding layers have effect to structure indeed. So establishing the FE model that can accurately describe the distribution of elastic field, electric field and temperature field as well as the behavior of structure self-perception and action of laminated piezoelectric structure is very important.3. Optimization design of laminated piezoelectric smart structures. Adjusting the electric field and voltage of laminated piezoelectric structure will result in structure shape control. Early researches of smart structures were mainly concentrated in adhesive sensor and actuator layers. However, the adhesive sensor and actuator layers are prone to be chemically corrupted and mechanically damaged. The actuator force is closely related to embedded depth, thickness and place of piezoelectric sensor and actuator layers. The developments of smart structural dynamics and materials science have made it possible to embed piezoelectric sensor and actuator into structures.4. Active controlling of laminated piezoelectric smart structures. This paper researched the active control model involving embedded sensor and actuator depth, thickness and place, developed the finite element optimization design and theory formula of close loop feedback control algorithm of smart structure with embedded sensor and actuator layers. Numerical research is performed to the effect of different laminated form material property and vibration of actuator layer place response of laminated piezoelectric smart structures.The subject scientifically analyzed the static problem, optimization design, shape control and active control of laminated piezoelectric structures developing by of theoretical derivation and FE modeling method. It has great scientific significance and practical value to make research on the calculation theory and method of laminated piezoelectric smart structures.