| 基面力概念在余能原理有限元中的应用 |
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| 引用本文： | 彭一江, 金明. 基面力概念在余能原理有限元中的应用[J]. 北京工业大学学报, 2007, 33(5): 487-492. |
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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,力学研究所,北京,100044 |
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| 基金项目： | 国家自然科学基金资助项目(19572001);;教育部高等学校博士学科点专项科研基金资助项目(20030004003);;北京市教育委员会科技发展计划资助项目(KM200510005016);;北京市属市管高校人才强教计划资助项目(05004999200602);;北京工业大学博士科研启动基金资助顶目(52031008200701)． |
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| 摘 要： | 为了改进传统的余能原理有限元方法,利用基面力概念,提出了一种具有边中节点的单元,推导出一种余能原理有限元柔度矩阵精确表达式的具体形式和节点位移显示表达式,运用广义余能原理中的Lagrange乘子法得到以基面力为基本未知量的余能原理有限元法的支配方程,编制出相应的MATLAB语言有限元分析程序.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 余能原理 Lagrange乘子法 柔度矩阵 有限元 |
| 文章编号： | 0254-0037（2007）05-0487-06 |
| 收稿时间： | 2006-01-12 |
| 修稿时间： | 2006-01-12 |
Application of the Base Forces Concept to Finite Element Method Based on Complementary Energy Principle |
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| PENG Yi-jiang, JIN Ming. Application of the Base Forces Concept to Finite Element Method Based on Complementary Energy Principle[J]. Journal of Beijing University of Technology, 2007, 33(5): 487-492. |
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| Authors: | PENG Yi-jiang JIN Ming |
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| Affiliation: | College of Architecture and Civil Engineering;Beijing University of Technology;Beijing 100022;China;Institute of Mechanics;Beijing Jiaotong University;Beijing 100044;China |
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| Abstract: | To improve the traditional finite element method based on the complementary energy principle, an element with the center nodes of each side is proposed. The explicit unified expression of element compliance matrix and the explicit formulations for the displacements of element nodes are derived from the concept of base forces. The control equation of the finite element method expressed by the base forces is obtained by using Lagrange multiplier method of the generalized complementary energy principle. A fini... |
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| Keywords: | base forces complementary energy principle Lagrange multiplier method compliance matrix finite element |
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