Spline Meshless Method For Dynamic Analysi Of The Thickness Piezoelectric FGM Rectangular Plate

Piezoelectric material is a kind of new intelligent materials with forward and reverse piezoelectric effect, which has the property of electromechanical-coupled and advantage of faster response, less time consuming, easier process, combination flexible and frequency response range. Therefore, it has widely used in health monitoring and surveillance, shape control and vibration in the high-tech fields and industrial areas.Functionally graded material is a kind of new composite materials which consist of variety materials that changes in the continuous transition along a certain direction with any demarcation. For the gradient of functionally graded material, the mutant of physical properties has not exist. In thermal environment, stress concentration of this material has absence, and the thermal stress betweem material layers has reduce. For the advantage of high temperature, wear resistance, corrosion resistance and thermal shock, the material has widely used in many areas such as aerospace field, biological engineering, mechanical engineering, optical engineering, electromagnetic engineering, nuclear engineering, civil engineering.Based on the spline meshless method, computing models of thick or thin piezoelectric FGM plate had been established with longitudinal displacements, deflection and shear strains as basic unknown quantities of displacement field in this paper. Then the effect on dynamic characteristics and response of piezoelectric FGM plate for coupling effect of tension-bending, mechanical-electrical and thermal-electrical with different temperature, gradient of material and boundary conditions. Base on the modal control theory and LQR optimal method, spline meshless active vibration control model of thick or thin piezoelectric FGM plate had been established. And control effect and applicability of the control model had been analysized. Results show that the new spline meshless model, which was correct and suitable for both thin paltes and thick paltes without shear locking problems. The new model is provided for engineering calculation and theoretical research of piezoelectric FGM plate with the advantages of high efficiency, high precision and processing boundary conditions easily.