Spline Finite-Point Method For Analysis Of Functionally Graded Piezoelectric Beam And Plate

In this article, the three-dimensional analyses on the mechanics property of functionally graded piezoelectric material beam and plate are carried out by the spline finite point method. Using third B spline function to fit the displacement of neutral, the article has gained an arbitrariness point's displacement of the configuration through introducing displacement mode, then expressed all basic quantity of mechanics and electricity with this assumed function and created displacement function with node displacement and generalized parameter. In the analysis, it has been assumed that functionally graded piezoelectric material is distributed into four different gradient models along thickness: multinomial , exponent function , power function and sine function. According to three-dimensional elastic theory, using spline finite point method, static and dynamical models of functionally graded piezoelectric beam and plate are set up. Program with FORTRAN language is made to analyze the static of functionally graded piezoelectric material beam and plate.Then the results from the program are taken to compared with the existing correlated results to prove the rationality and validity of the article's method . Lastly the flexure analysis of functionally graded piezoelectric plate is carried out. The article can provide some reference for functionally graded piezoelectric structure.