摘要
利用域内一致和边界一致概念，以最小二乘法求出对剪应变的单独插值函数，并利用节点坐标进行坐标变换，可构造一种基于Ｍｉｎｄｌｉｎ板弯曲理论的四边形板单元．将这种方法用于复合材料层合板与夹层板的静动力分析．该单元推导简单，易于程序实现；由数值算例表明具有很好的特性，计算精度好，避免了剪切闭锁现象，对厚板及薄板均适用．
A new quadrilateral plate element based on Mindlin theory can be constructed by means of the concept of consistent shear strain both within field and at boundary of element. The least square method is used to derive the independent interpolation functions for shear strains, and coordinates of nodes replacing of Gauss points are used in coordinate transformation. This method has been used in the static and dynamic analysis of composite laminated and sandwich plates. This plate element is easy in deriving and programming. Numerical examples show that the element has good property and is accurate, free from shear locking, and suitable to both thick and thin plates.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1997年第4期392-397,共6页
Journal of Dalian University of Technology
基金
国家自然科学基金
国家杰出青年科学基金
