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|本期目录/Table of Contents|

结构柔顺度拓扑优化的倒变量准则

《应用力学学报》[ISSN:1000-4939/CN:61-1112/O3]

期数:
2019年02期
页码:
334-342
栏目:
出版日期:
2018-12-18

文章信息/Info

Title:
Reciprocal criterion of structural compliance topology optimization
作者:
彭细荣熊创贤李文斌
湖南城市学院 土木工程学院 413000 益阳
Author(s):
Peng Xirong Xiong Chuangxian Li Wenbin
School of Civil Engineering, Hunan City University, 413000, Yiyang, China
关键词:
SIMP法倒变量准则法柔顺度过滤计算效率
分类号:
O343.1
DOI:
10.11776/cjam.36.02.D005
文献标识码:
A
摘要:
针对在工程中广泛应用于最大化结构刚度设计的最小化结构柔顺度拓扑优化问题,应用连续体拓扑优化SIMP法,基于倒变量建立了优化模型;应用K-T条件建立了相应的优化准则,并提出了柔顺度过滤方法消除棋盘格现象及网格依赖等数值问题。应用不同的网格,与原准则法及MMA法进行了算法效率比较,与敏度过滤法及密度过滤法进行了优化求解结果及效率的比较。所附MATLAB程序测试表明:所提方法迭代次数最少、运行时间最短,随问题规模增大迭代次数不会增加;与原准则法相比,不用设置运动极限参数,适合求解大规模工程问题。

参考文献/References

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