Spline Finite Point Method Applied To The Dynamic Characteristics Analysis Of Piezoelectric Fgm Plate

Functionally graded material is a new kind of composite material, with continuous transition material components and the excellent properties of hight temperature resistance, high strength, impact resistance, etc. It can reduce the thermal stress, residual stress and stress concentration, as well as enhance the properties of the structure. Therefore, it has broad application prospects.Piezoelectric material is a new kind of smart material which has electromechanical-coupled property. It is with wide frequency response range, fast response, large density, ease of distribution and other merits that is easy to measure input and output signals. It has been widely used in daily life and work. At present, lots of investigations have been made on piezoelectric structures. And, research on piezoelectric FGM smart structures is a hot topic.In this paper, spline finite point method is adopted to establish the mechanical model by MATLAB software for the dynamic characteristics analysis of piezoelectric FGM plates in the thermal environment and under the strong electric field. Besides, the membrane force caused by thermal and electric loads are compared to the critical membrane force so as to ensure the plate is in steady state. The main works are as follows:Based on the classical plate theory and high order shear deformation theory, considering the heat transfer along the plate thickness direction and membrane force caused by temperature, the spline finite point model for the dynamic analysis of FGM plate is established. The study has been done that the functional gradient materials are changing with the temperature. The relevant physical parameters are also analyzed on the temperature influence to the dynamic characteristics for FGM plate; The effects of membrane force on each order natural frequency of vibration is investigated. At the same time, both of the temperature dependence of the material parameters and membrane force are taken into consideration, discussing the effect of temperature load on free vibration.Based on the piezoelectric linearity and piezoelectric nonlinearity constitutive relation, dynamic analysis models for piezoelectric FGM plate are established. And the dynamic analysis model for piezoelectric FGM plate under thermal environment and electric field is established. The effect of electric field on free vibration frequency of piezoelectric FGM plate with different thickness ratio is studied; The errors between piezoelectric linearity and nonlinearity is discussed; The influence of electric applied ways to each order natural frequency of vibration is also investigated; The control effect of strong electric field to the free vibration in thermal environment has also been discussed.The results of spline finite point method were compared with other analysis methods, comparison results indicate that the proposed new method is with clear physical concept, convenient to deal with boundary conditions, easy to program, the calculation is little and the results are with high precision, is a kind of new mothed worth promoting. In this paper, based on the spline finite point method, the dynamic property of the piezoelectric FGM plates under strong electric field and thermal environment are studied. A large number of examples have been made, and some conclusions which have reference value for the theoretical and practical application were drawn out.