摘要
本文采用考虑剪切变形的Mindlin板理论构造8节点等参有限元,板的位移和转角均选为C°类抛物型形函数。为了避免板在小厚跨比情况下总刚方程出现平凡解,单元矩阵计算采用降阶积分方法处理。本方法能同时适用于具有复杂几何和位移边界条件的中厚板和薄板的计算,且可方便地在普遍使用的位移法有限元程序系统中实施。
A simple and efficient 8-node isoparametric plate finite element is constructed on the basis of Mindlin's plate theory. The C°-parabolic shape function is applied to both the displacement and rotation variables of plates. In order to keep the solution from being locked, the reduced integration mehtod by 2×2 Gauss integration is required to calculate the element matrices. The proposed method can satisfy mid-thick and thin plates associated with complicated geometrical and displacement boundary conditions. The computing execution under the circumstance of the widely used displacement model program system of FEM is easily achieved。
