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工程设计学报
工程设计学报  2015, Vol. 22 Issue (2): 155-160    DOI: 10.3785/j.issn. 1006-754X.2015.02.009
建模、分析、优化和决策     
基于密度-敏度层次更新策略的三维连续体结构拓扑优化
田启华，王进学，杜义贤，王 涛
三峡大学 机械与动力学院，湖北 宜昌 443002
Three-dimensional continuum topology optimization based on density-sensitivity level update policy
TIAN Qi-hua， WANG Jin-xue， DU Yi-xian， WANG Tao
College of Mechanical and Power Engineering， China Three Gorges University， Yichang 443002， China
 全文: PDF(3049 KB)   HTML
摘要： 针对三维连续体结构静力学拓扑优化中灰度单元过多的问题，以结构的柔度最小为目标函数，运用基于SIMP插值方法建立的静力学拓扑优化数学模型，提出一种密度-敏度层次更新策略．以数控插齿机床身为例，运用该更新策略，采用MATLAB编程进行三维拓扑优化.优化结果中灰度单元明显减少，说明了密度-敏度层次更新策略的合理性．
关键词： 灰度单元;  密度-敏度层次更新策略;  数控插齿机床身;  三维拓扑优化    
Abstract: According to the problem of gray cells redundant during the three-dimensional continuum static topology optimization, a density-acuity level update strategy was proposed taking the minimum flexibility of the structure as the objective function and using the topology optimization mathematical model based on the SIMP interpolation method. Took NC gear shaping machine tool bed as an example, the update strategy was used and the algorithm with MATLAB was achieved to do the three\|dimensional topology optimization. The gray cells decreased obviously in the optimization result, which illustrated the rationality of the density-acuity level update strategy.
Key words: gray cell    density-acuity level update policy    NC gear shaping machine tool bed    three-dimensional topology optimization
收稿日期: 2014-08-14 出版日期: 2015-04-28
基金资助:

国家自然科学基金资助项目（51475265，51105229）；三峡大学2014年硕士学位论文培优基金资助项目（2014PY025）．
作者简介: 田启华(1962—),男，湖北宜昌人，教授，博士，从事CAD/CAE/CAM、优化设计等研究，E-mail：tqh@ctgu.edu.cn．
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引用本文:

田启华，王进学，杜义贤，王 涛. 基于密度-敏度层次更新策略的三维连续体结构拓扑优化[J]. 工程设计学报, 2015, 22(2): 155-160.

TIAN Qi-hua， WANG Jin-xue， DU Yi-xian， WANG Tao. Three-dimensional continuum topology optimization based on density-sensitivity level update policy. Chinese Journal of Engineering Design, 2015, 22(2): 155-160.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn. 1006-754X.2015.02.009    或    https://www.zjujournals.com/gcsjxb/CN/Y2015/V22/I2/155

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