| 基面力的概念在势能原理有限元中的应用 |
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| 引用本文： | 彭一江,金明.基面力的概念在势能原理有限元中的应用[J].北京交通大学学报(自然科学版),2007,31(4):1-4,9. |
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| 作者姓名： | 彭一江 金明 |
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| 作者单位： | 北京工业大学,建筑工程学院,北京,100022;北京交通大学,土木建筑工程学院,北京,100044;北京交通大学,土木建筑工程学院,北京,100044 |
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| 基金项目： | 国家自然科学基金
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高等学校博士学科点专项科研项目
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京市教委科技发展计划
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北京市属市管高校人才强教计划
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北京工业大学校科研和教改项目 |
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| 摘 要： | 为了改进传统的势能原理有限元方法,利用高玉臣(2003)的单元刚度矩阵精确表达式,给出了一种基于基面力概念的势能原理有限元计算方法和相应的积分显示有限元列式,利用MATLAB计算机语言编制出基面力有限元计算程序,针对几个典型的平面弹性理论问题进行数值研究.结果表明,数值解与理论解相吻合.
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| 关 键 词： | 基面力 势能原理 有限元 刚度矩阵 |
| 文章编号： | 1673-0291（2007）04-0001-04 |
| 修稿时间： | 2005-12-062007-04-19 |
Application of the Base Forces Concept in Finite Element Method on Potential Energy Principle |
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| PENG Yi-jiang,JIN Ming.Application of the Base Forces Concept in Finite Element Method on Potential Energy Principle[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2007,31(4):1-4,9. |
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| Authors: | PENG Yi-jiang JIN Ming |
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| Institution: | 1. College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100022, China; 2. School of Civil Engineering and Architecture, t3eijing Jiaotong University, Beijing 100044, China |
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| Abstract: | To improve the traditional finite element method based on potential energy principle,a finite element method based on the base forces is proposed by using explicit expression of stiffness matrices by Gao,Y.C.(2003).The explicit formulations of the base forces finite element method are presented.A finite element approach program is developed by using MATLAB computer language,which is used to solve several problems of elasticity theory.The results show that the numerical solutions are consistent with those of the theoretical solutions. |
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| Keywords: | base forces potential energy principle finite element stiffness matrix |
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