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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:

28卷

期数:

2011年02期

页码:

119-126

栏目:

出版日期:

2011-06-20

文章信息/Info

Title:

Weakness of Level Set Method in Topology Optimization and Its Improvement

作者:

王超逸^1,2,封建湖¹

1. 长安大学 理学院,陕西 西安 710064; 2. 鞍山钢铁集团公司,辽宁 鞍山 114009

Author(s):

WANG Chao-yi^1,2, FENG Jian-hu¹

1. School of Sciences, Chang'an University, Xi'an 710064, Shaanxi, China; 2. Anshan Iron & Steel Group Corporation, Anshan 114009, Liaoning, China

关键词:

拓扑优化;  水平集方法;  拓扑导数;  有限元法

Keywords:

topology optimization;  level set method;  topology derivative;  finite element method

分类号:

TU311

DOI:

-

文献标志码:

A

摘要:

提出了一种基于拓扑导数的水平集方法,利用拓扑导数在材料的内部生成新的孔,再运用水平集方法移动和融合新生成的孔,克服了传统水平集方法的缺点并保留其优点; 通过数值算例展示了传统水平集方法的缺点和新方法拓扑优化问题的改进效果。结果表明:提出的拓扑导数水平集算法简单有效,可以进行连续体结构的拓扑优化设计。

Abstract:

Structural topology optimization has been identified as one of the most challenging tasks in structural design. Level set method has many merits on topological optimization problems. But it also has some defects. For example, the higher dependence on initial topology of complex structures, in which proper number and position of holes are included, cannot be determined in advance. Furthermore, in order to greatly improve computational efficiency, another topology optimization method, we called it topology derivative-level set algorithm, was proposed by unifying topology derivative theory with the level set method. Numerical experiments illustrated the weakness of the traditional level set method and the improvement of the topology derivative-level set algorithm. The numerical results show that the topology derivative-level set algorithm can be used for topology optimization of continuum structures.

参考文献/References:

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相似文献/References:

[1]任晓辉,封建湖.基于水平集方法的连续体结构拓扑优化[J].建筑科学与工程学报,2007,24(01):74.
　REN Xiao-hui,FENG Jian-hu.Topology Optimization of Continuum Structure Based on Level Set Method[J].Journal of Architecture and Civil Engineering,2007,24(02):74.

备注/Memo

备注/Memo:

收稿日期:2011-03-01
作者简介:王超逸(1983-),男,安徽淮南人,鞍山钢铁集团公司工程师,工学硕士,E-mail:wchyhuayun@163.com。

常用功能

更新日期/Last Update: 2011-06-20