一种新型有限元网格形状评价指标

张吉; 陈岱林; 王徽; 梁博

2011, 3(2): 16-20.

一种新型有限元网格形状评价指标

张吉 , 陈岱林 , 王徽 , 梁博

中国建筑科学研究院建筑工程软件研究所，北京 100013

网络出版日期: 2011-06-01

作者简介: 张吉(1982-)，男，博士研究生。主要从事建筑结构设计软件的研发及有限元数值分析工作

A New Index for Finite Element Mesh Shape Evaluate

Zhang Ji , Chen Dailin , Wang Hui , Liang Bo

Institution of Building Engineering Software, China Academy of Building Research, Beijing 100013, China

Available Online: 2011-06-01

引用本文: 张吉, 陈岱林, 王徽, 梁博. 一种新型有限元网格形状评价指标[J]. 土木建筑工程信息技术, 2011, 3(2): 16-20.

Citation: Zhang Ji, Chen Dailin, Wang Hui, Liang Bo. A New Index for Finite Element Mesh Shape Evaluate[J]. Journal of Information Technologyin Civil Engineering and Architecture, 2011, 3(2): 16-20.

摘要:本文对通用有限元软件ANSYS与SAP2000中的单个网格评价指标进行了分析与总结。在现有单个网格评价指标计算的基础上，建议了一种新的网格评价指标，该评价指标不仅能用于单个网格的评价，而且能用于复杂的多网格有限元模型。通过C++编程实现了整个评价指标的计算，对悬臂梁模型采用不同网格划分后对形状指标进行计算后，发现按不同网格的形状指标与计算精确度存在明显的正相关性。将其用于多高层建筑结构网格评价，计算结果表明该评价指标是高效而又可靠的。

关键词: 网格, 有限单元法, 形状指数

Abstract: Single element mesh shape evaluate index of ANSYS and SAP2000 is analyzed and summarized in the present paper.Based on this indexes, a new index is proposed. Benefit from the new index, not only single element mesh but also mesh compose of more elements can be evaluated. A cantilever beam problem is meshed by different shape and procedure programmed by C++ language is used to calculate this index of the mesh, after compared the solution with exact one, a conclusion can be draw that there is a strong correlation between the index value and the precision of solution. Multilayer and high-rise buildings mesh is also evaluated, the results show the index is still efficient and reliable.

Key words: Mesh, Finite Element Method, Shape Index

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一种新型有限元网格形状评价指标

A New Index for Finite Element Mesh Shape Evaluate

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