给出的功能梯度材料构件半解析数值方法不同于一般的半解析法,而是用一维离散,给出三维分析结果,并针对功能梯度材料的材料参数随空间坐标变化的特点,将材料参数纳入到力学方程中进行整体积分计算,从而编制统一程序计算不同情况下的板件问题.并且用半解析法分析变厚度及加肋功能梯度板,给出了不同于经典平板理论的功能梯度板件力学量三维分布形态.
The paper presents a semi-analytical numerical method to analyze the functionally graded material structures. The presented method is different from general semi-analytical method in that it derives 3-D analytical results with 1-D discretization. The method is of strong adaptability, brevity and high efficiency. According to the characteristics of functionally graded material parameters varying with the space coordinates, the material parameters are entered into mechanical equations for the whole integral calculation, then the unified program is formed for solving different kinds of plate problems. The semi-analytical method is used to analyze variable-thickness and ribbed functionally graded material plates, and the 3-D distributions of mechanical quantities different from classic plate theory are given.