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结构拓扑优化中棋盘格抑制方法的研究

豆麟龙 尹益辉 刘远东

豆麟龙, 尹益辉, 刘远东. 结构拓扑优化中棋盘格抑制方法的研究[J]. 应用数学和力学, 2014, 35(8): 920-929. doi: 10.3879/j.issn.1000-0887.2014.08.010
引用本文: 豆麟龙, 尹益辉, 刘远东. 结构拓扑优化中棋盘格抑制方法的研究[J]. 应用数学和力学, 2014, 35(8): 920-929. doi: 10.3879/j.issn.1000-0887.2014.08.010
DOU Lin-long, YIN Yi-hui, LIU Yuan-dong. Research of the Checkerboard Pattern Suppression Method in Structural Topological Optimization[J]. Applied Mathematics and Mechanics, 2014, 35(8): 920-929. doi: 10.3879/j.issn.1000-0887.2014.08.010
Citation: DOU Lin-long, YIN Yi-hui, LIU Yuan-dong. Research of the Checkerboard Pattern Suppression Method in Structural Topological Optimization[J]. Applied Mathematics and Mechanics, 2014, 35(8): 920-929. doi: 10.3879/j.issn.1000-0887.2014.08.010

结构拓扑优化中棋盘格抑制方法的研究

doi: 10.3879/j.issn.1000-0887.2014.08.010
详细信息
    作者简介:

    豆麟龙(1989—),男,河南沈丘人,硕士(E-mail: douzi891213@126.com);尹益辉(1967—),男,四川江油人,研究员,博士(通讯作者. Tel: +86-816-2485439; E-mail: yinyh@caep.ac.cn).

  • 中图分类号: O342

Research of the Checkerboard Pattern Suppression Method in Structural Topological Optimization

  • 摘要: 针对棋盘格过滤技术中单元权重系数的计算,对已有文献中的棋盘格抑制方法进行改进,提出了物理意义明确且更具一般性的公式.建立含应力约束的弹塑性拓扑优化模型,将改进的棋盘格抑制方法用于弹塑性结构拓扑优化,采用ESO(evolutionary structural optimization)法进行优化.编程实现了两个数值算例,对算例结果分析表明:改进的棋盘格抑制方法具有更好的抑制效果,且该方法并不局限于材料线性范围的拓扑优化,也适用于进行材料非线性的拓扑优化时棋盘格的抑制.
  • [1] Jog C S, Haber R B. Stability of finite element models for distributed-parameter optimization and topology design[J].Computer Methods in Applied Mechanics and Engineering,1996, 130(3/4): 203-226.
    [2] Rodrigues H, Fernandes P. A material based model for topology optimization of thermoelastic structures[J].International Journal for Numerical Methods in Engineering,1995, 38(12): 1951-1965.
    [3] Haber R B, Jog C S, Bendse M P. Variable-topology shape optimization with a constraint on perimeter[C]//Gilmore B J, Hoeltzel D A, Dutta D, Eschenauer H A eds.Advances in Design Automation.New York: ASME , 1994: 261-272.
    [4] Borrvall T. Topology optimization of elastic continua using restriction[J].Archives of Computational Methods in Engineering, 2001,8(4): 351-385.
    [5] Petersson J, Sigmund O. Slope constrained topology optimization[J].International Journal for Numerical Methods in Engineering,1998,41(8): 1417-1434.
    [6] Zhou M, Shyy Y K, Thomas H L. Checkerboard and minimum member size control in topology optimization[J].Structural and Multidisciplinary Optimization,2001,21(2): 152-158.
    [7] Bruns T E, Tortorelli D A. Topology optimization of nonlinear elastic structures and compliant mechanisms[J].Computer Methods in Applied Mechanics and Engineering,2001,190(26/27): 3443-3459.
    [8] Bourdin B. Filters in topology optimization [J].International Journal for Numerical Methods in Engineering,2001,50(9): 2143-2158.
    [9] Sigmund O, Petersson J. Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima[J].Structural optimization,1998,16(1): 68-75.
    [10] Sigmund O. Morphology-based black and white filters for topology optimization[J].Structural and Multidisciplinary Optimization,2007,33(4/5): 401-424.
    [11] Hu S B, Chen L P, Zhang Y Q, Yang J Z, Wang S T. A crossing sensitivity filter for structural topology optimization with chamfering, rounding, and checkerboard-free patterns[J].Structural and Multidisciplinary Optimization,2009,37(5): 529-540.
    [12] Huang X, Xie Y M. Topology optimization of nonlinear structures under displacement loading[J].Engineering Structures,2008,30(7): 2057-2068.
    [13] Li Q, Steven G P, Xie Y M. A simple checkerboard suppression algorithm for evolutionary structural optimization[J].Structural and Multidisciplinary,2001,22(3): 230-239.
    [14] 郭中泽, 陈裕泽, 张卫红, 邓克文. 渐进优化法的一种高阶棋盘格式抑制方法[J]. 机械设计, 2006,23(5): 1-4.(GUO Zhong-ze, CHEN Yu-ze, ZHANG Wei-hong, DENG Ke-wen. A kind of high ordered checkerboard pattern suppressing algorithm of progressive optimization method [J].Journal of Machine Design,2006,23(5): 1-4.(in Chinese))
    [15] Querin O M, Steven G P, Xie Y M. Topology optimization of structures with material and geometric nonlinearities[C]//AIAA Meeting Papers on Disc,1996: 1812-1818.
    [16] 谢亿民, 杨晓英, Steven G P, Querin O M. 渐进结构优化法的基本理论及应用[J]. 工程力学, 1999,16(16): 70-81.(XIE Yi-min, YANG Xiao-ying, Steven G P, Querin O M. The basic theory and application of evolutionary structural optimization method[J].Engineering Mechanics,1999,16(16): 70-81.(in Chinese))
    [17] Poulsen T A. A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization[J].Structural and Multidisciplinary Optimization,2002,24(5): 396-399.
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出版历程
  • 收稿日期:  2014-01-03
  • 刊出日期:  2014-08-15

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