| 基于基面力概念的新型势能原理有限元方法 |
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| 引用本文： | 彭一江,金明.基于基面力概念的新型势能原理有限元方法[J].北京工业大学学报,2007,33(7):687-692. |
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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(19572001);;教育部高等学校博士学科点专项科研基金(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(52031008200701)． |
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| 摘 要： | 针对势能原理有限元方法中单元刚度矩阵的显示表达问题,从基面力的概念出发,利用单元刚度矩阵显示表达式,建立了基于基面力概念的势能原理有限元法的数学模型,编制出MATLAB语言的有限元程充序,将该方法应用于解决一些典型的弹性理论问题,进行了各种形状单元的对比计算和分析,数值解与理论解相吻合,从而验证了该方法的可行性．
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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： | 0254-0037（2007）07-0687-06 |
| 修稿时间： | 2006-03-01 |
The New Finite Element Method on Potential Energy Principle by Base Forces |
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| PENG Yi-jiang,JIN Ming.The New Finite Element Method on Potential Energy Principle by Base Forces[J].Journal of Beijing Polytechnic University,2007,33(7):687-692. |
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| Authors: | PENG Yi-jiang JIN Ming |
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| Affiliation: | 1.College of Architecture and Civil Engineering;Beijing University of Technology;Beijing 100022;China;2.Institute of Mechanics;Beijing Jiaotong University;Beijing 100044;China |
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| Abstract: | Using the concept of base forces,the problem on the explicit tensor expression of element stiffness matrix for finite element method was identified,mathematic model of finite element method on potential ener- gy principle was established by using an explicit expression.A code on the base forces finite element method was developed by using MATLAB computer language.The approach was used to solve several problems of e- lasticity theory,and various shape elements were compared and analyzed.The numerical results... |
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| Keywords: | base forces potential energy principle finite element stiffness matrix |
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