| 基于解析试函数的广义协调四边形膜元 |
| |
| 引用本文： | 傅向荣,龙驭球.基于解析试函数的广义协调四边形膜元[J].工程力学,2002,19(4):12-16. |
| |
| 作者姓名： | 傅向荣 龙驭球 |
| |
| 作者单位： | 清华大学土木系,北京,100084 |
| |
| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
| |
| 摘 要： | 本文构造三个广义协调四边形膜元。根据弹性力学平面问题的控制方程和艾雷应力函数,求出问题基本解析解,然后用其作为试函数来构造单元:ATF-Q4a、ATF-Q4b、ATF-Q4q。数值算例表明,其中两个单元ATF-Q4a和ATF-Q4q对网格畸变不敏感,显示出良好的性能。
|
| 关 键 词： | 有限元 试函数 艾雷应力函数 网格畸变敏感性 |
| 文章编号： | 1000-4750(2002)04-012-05 |
GENERALIZED CONFORMING QUADRILATERAL PLANE ELEMENTS BASED ON ANALYTICAL TRIAL FUNCTIONS |
| |
| FU Xiang-rong,LONG Yu-qiu.GENERALIZED CONFORMING QUADRILATERAL PLANE ELEMENTS BASED ON ANALYTICAL TRIAL FUNCTIONS[J].Engineering Mechanics,2002,19(4):12-16. |
| |
| Authors: | FU Xiang-rong LONG Yu-qiu |
| |
| Abstract: | Three generalized conforming quadrilateral plane elements are developed in this paper. From the governing equations of the elastic plane problem and the Airy stress function, the fundamental analytical solutions are first derived and then used as the trial functions to formulate the elements: ATF-Q4a, ATF-Q4b and ATF-Q4q. Numerical examples show that two of the proposed elements, ATF-Q4a and ATF-Q4q, are free from mesh sensitivity and exhibit excellent performance. |
| |
| Keywords: | finite element trial function Airy stress function mesh distorsion |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
