基于四边形面积坐标法的广义协调薄板单元  

Generalized conforming plate elements based on quadrilateral area coordinate

作　　者：康澜[1] 张其林[1] 秦中慧[1] 

机构地区：[1]同济大学土木工程学院,上海200092

出　　处：《计算机辅助工程》2007年第3期140-144,共5页Computer Aided Engineering

基　　金：高等学校博士学科点专项科研基金(0210232005)

摘　　要：为克服等参坐标的缺点,采用四边形面积法构造一系列4节点12自由度的广义协调任意面积坐标四边形薄板(Area-coordinate Quadrilateral Plate,AQP)单元.对广义协调条件、边界位移场和试函数的选取规律进行深入探讨.该系列单元克服等参单元易网格畸变的缺点,在推导过程中引入广义位移的特征矩阵、节点位移的特征矩阵以及转换矩阵的概念,以使推导过程简单化、通用化.数值算例表明,此方法通用性强、易于程序化,所构造的单元自由度少、效率和精度较高.To solve some problems occurred in the isoparametric coordinates, a series of quadrilateral generalized Area-coordinate Quadrilateral Plate （AQP） elements with four nodes and 12 degrees of freedom are successfully constructed by quadrilateral area coordinate method. Generalized conforming conditions, displacement field on boundary and selective rule of trying function are deeply discussed. The elements overcome the mesh distortion of isoparametric elements, and characteristic matrix of node displacements and generalized displacements and conversion matrix are introduced into deductive procedure to make it simple and universal. The examples show that the method is of strong generality and easy programming, and the elements have less freedom and demonstrate higher efficiency and accuracy.

关 键 词：等参坐标 四边形面积坐标 薄板单元 广义协调条件 网格畸变 

分 类 号：TU311.4[建筑科学—结构工程]