基于势能原理的二维基面力元法性能研究

单岩岩; 任聪; 黄斯拜; 白亚琼

doi:10.3879/j.issn.1000-0887.2016.06.008

基于势能原理的二维基面力元法性能研究

doi: 10.3879/j.issn.1000-0887.2016.06.008

北京工业大学建筑工程学院, 北京 100124

基金项目: 国家自然科学基金（10972025）

详细信息

作者简介:
单岩岩（1989—），女，硕士生（通讯作者. E-mail: shanyany@126.com）.

中图分类号: TU313.1;O343.1
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- 文章访问数: 871
- HTML全文浏览量: 50
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- 被引次数: 0
出版历程
- 收稿日期: 2015-12-14
- 修回日期: 2016-01-25
- 刊出日期: 2016-06-15

The 2D Base Force Element Method Based on the Potential Energy Principle

College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100124, P.R.China

Funds: The National Natural Science Foundation of China（10972025）

摘要

摘要: 根据高玉臣提出的“基面力”概念，介绍二维线弹性势能原理的四边形基面力元模型.结合典型算例进行数值计算，并考虑单元长宽比的影响.将基面力元解分别与理论解、常规有限元解和平面四节点等参元（Q-4模型）解进行对比分析，探讨势能原理基面力元法的正确性和计算性能.计算结果表明：基面力元解与理论解相吻合,具有较高的精度，且对单元长宽比的影响不敏感.基于势能原理的基面力元法具有较广的应用前景.
- 基面力 /
- 势能原理 /
- 刚度矩阵
Abstract: Based on the base force concept proposed by Gao Y C, the quadrangular element model of the base force element method (BFEM) for 2D linear elastic problems was proposed. Several typical examples of numerical calculation were given in view of the effect of the element’s length-to-width ratio. The BFEM results were compared with the analytic solution and the conventional triangular finite element solution as well as the isoperimetric quadrangular element (Q4 model) solution; in turn the correctness and the computing performance of the BFEM based on the potential energy principle were verified. It is shown that the BFEM gives results in good agreement with the analytic solution and has higher accuracy than the conventional finite element methods, but is not sensitive to the element’s length-to-width ratio. So the BFEM is expected to have wide application prospects.
- base force /
- potential energy principle /
- stiffness matrix

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参考文献(15)

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