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| 重构的无单元伽辽金形函数 | |
| 引用本文： | 孟闻远,李秀芹,卓家寿.重构的无单元伽辽金形函数[J].西安建筑科技大学学报(自然科学版),2006,38(1):5-8. |
| 作者姓名： | 孟闻远 李秀芹 卓家寿 |
| 作者单位： | 1. 河海大学土木工程学院,江苏,南京,210098;华北水利水电学院土木工程系,河南,郑州450008 2. 华北水利水电学院土木工程系,河南,郑州450008 3. 河海大学土木工程学院,江苏,南京,210098 |
| 摘 要： | 分析了目前已有的无单元法在发展过程中存在的问题:如本质边界条件的处理、太多的求逆矩阵运算而产生过度的计算量等问题,这些问题难以克服且互相牵涉.针对这些问题,从本质上研究了产生这些问题的内在原因,然后在继承已有无单元法优秀内核的基础上,借助传统数学分析的工具,开发了新的形函数,从根本上解除了这些障碍;对非凸区影响域问题,提出了新的准则.算例证明:新的形函数及准则非常有效. |
| 关 键 词： | 无单元形函数 移动插值技术 影响域 |
| 文章编号： | 1006-7930（2006）01-0005-04 |
| 收稿时间： | 2003-11-24 |
| 修稿时间： | 2005-07-05 |
Reconstructive meshless Galerkin shape function |
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| MENG Wen-yuan,LI Xiu-qin,ZHUO Jia-shou.Reconstructive meshless Galerkin shape function[J].Journal of Xi'an University of Architecture & Technology,2006,38(1):5-8. | |
| Authors: | MENG Wen-yuan LI Xiu-qin ZHUO Jia-shou |
| Affiliation: | 1. School of Civil Engineering ,Hehai University, Nanjing 210098,China;2. Dept. of Civil Eng , North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008,China |
| Abstract: | Problems exist in developing the meshless methods were found,such as the treating of essential boundary condition and the excessive calculations due to matrix inverse computing,etc.These problems are difficult to overcome and involved in one another.The internal cause of these problems are studied essentially.Then,on the basis of inheriting the reasonable inner core of meshless methods that exist,and by means of the traditional tools of mathematic analysis,a new shape function was developed,and the problems above were solved basically.To the influencing-fields problem adjacent to nonconvex areas,a new criterion was proposed.The examples given show the validity of the new shape function and criterion. |
| Keywords: | meshless shape function moving and interpolating technique influencing-filed |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |