Dynamic Analysis And Vibration Control Of Functionally Graded Piezoelectric Laminate Plates

Functionally graded piezoelectric material (FGPM) is a new material which assembles many materials'good characteristics to itself. The FGPM has been widely used in a large number of engineering structures and its mechanical behavior research has been greatly developed and applied to structural vibration control.In this paper, based on a functionally graded piezoelectric material force– electric coupled constitutive relations, geometric relations, and boundary conditions, using Hamilton principle, derived from piezoelectric material coupled field finite element dynamic equation, and in accordance with laminate plates theory, set up functionally graded piezoelectric laminates force - electric coupled finite element model. By the finite element software ANSYS's nature of force -electric field coupling characteristics and laminate theory, make ANSYS seconddary development and the parameter of material property change gradedly. According to the characteristics of functionally graded plate, by virtue of APDL language finite element computing program to calculate and analyse model analysis and dynamic response of Functionally Graded Piezoelectric Laminate plates. All because of functionally graded piezoelectric thin plate used as actuators and sensors, introduce degenerated three coupled finite element model,and piezoelectric structure in accordance with the basic principles of control theory, deprive of the functionally graded piezoelectric laminates of the control equation and use modal control theory of LQG control.Through this article on the functionally graded piezoelectric laminates dynamic analysis and vibration control study to draw some useful conclusions to guide practice.