Dynamic Analysis Of Thin Plates With Two-dimensional Piezoelectric Actuators

One type of smart structure is composed of beam, plate or shell integrated with piezoelectric actuator and/or sensors. They are widely used in many fields including control of noise and vibration, control of shape, structure healthy monitoring and so on. The inherent coupling effects between piezoelectric materials and elastic structures are studied, and the computational method and modeling of piezoelectric actuator and elastic thin plate are extensively investigated in this thesis.Firstly, Some basic theories about refereed piezoelectric materials, spline function, Guass-Quadrature are introduced in section one and two , and the applicability of spline function in structure-analyses is showed by giving two examples. Secondly, Summarize models and methods for smart structures embedded with piezoelectric actuator and make it to be pure elastic issues. Thirdly, in elasticity part, mathematic model is constructed by using finite splines method; in piezoelectric part, the dynamic-character of piezoelectric actuator is represented by using equivalent impedance method. Then according to the associated condition between mechanics and electricity, two parts can be connected. So, we can construct the model of the coupled issue between mechanics and electricity in smart structures. Fourthly, By analyzing the dynamic response of the elastic thin plate in detail, simulating the signal of thin plate vibration in time and frequency field respectively, and comparing with the experimental data, it can be concluded that the result in the coupled model is in agreement with experiment's, this model can accurately predict the dynamic response of the elastic thin plate with the promotion of the two-dimensional piezoelectric actuator. Finally, by analyzing and computing, in this paper we can conclude that the coupled model between mechanics and electricity is able to be widely used, and it could be programmed easily and analyzed in time and frequency field. Moreover, since the impedance of more demission can be obtained by experimental measuring, this model can be highly précised in this point.