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载荷不确定的周期性结构稳健拓扑优化

付志方 王春洁

付志方, 王春洁. 载荷不确定的周期性结构稳健拓扑优化[J]. 北京航空航天大学学报, 2017, 43(4): 747-753. doi: 10.13700/j.bh.1001-5965.2016.0822
引用本文: 付志方, 王春洁. 载荷不确定的周期性结构稳健拓扑优化[J]. 北京航空航天大学学报, 2017, 43(4): 747-753. doi: 10.13700/j.bh.1001-5965.2016.0822
FU Zhifang, WANG Chunjie. Robust topology optimization of periodic structures under uncertain loading[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(4): 747-753. doi: 10.13700/j.bh.1001-5965.2016.0822(in Chinese)
Citation: FU Zhifang, WANG Chunjie. Robust topology optimization of periodic structures under uncertain loading[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(4): 747-753. doi: 10.13700/j.bh.1001-5965.2016.0822(in Chinese)

载荷不确定的周期性结构稳健拓扑优化

doi: 10.13700/j.bh.1001-5965.2016.0822
详细信息
    作者简介:

    付志方, 男, 博士研究生。主要研究方向:结构优化、仿真

    王春洁, 女, 博士, 教授, 博士生导师。主要研究方向:机械设计, 结构优化、仿真, 结构动力学

    通讯作者:

    王春洁, E-mail:wangcj@buaa.edu.cn

  • 中图分类号: TH122;O327

Robust topology optimization of periodic structures under uncertain loading

More Information
  • 摘要:

    提出了一种考虑周期性几何约束的结构稳健拓扑优化设计方法。针对线弹性体结构,提出了载荷不确定性条件下周期性结构稳健拓扑优化模型;推导了周期性结构柔度均值与方差的敏度数表达式,并基于软删双向渐进结构优化法提出了载荷不确定性条件下的周期性结构稳健拓扑优化设计方法。2个不同约束条件下的实例表明:本文提出的优化模型稳定性较好;考虑载荷不确定性得到的结构与确定性载荷下得到的结构有很大的区别,且稳健性优化设计得到的结构更加稳定。

     

  • 图 1  2D设计区域被分割成6个子域

    Figure 1.  2D design domain with 6 unit cells

    图 2  双侧固定梁结构的设计域

    Figure 2.  Design domain for a bilateral clamped beam structure

    图 3  双侧固定梁拓扑优化得到的构型

    Figure 3.  Layouts obtained from topology optimization of bilateral clamped beam

    图 4  双侧固定梁拓扑优化迭代历史

    Figure 4.  Iteration history of topology optimization of bilateral clamped beam

    图 5  初始设计区域

    Figure 5.  Primary design domain

    图 6  米歇尔结构拓扑优化得到的构型

    Figure 6.  Layouts obtained from topology optimization of Michelle structure

    图 7  米歇尔结构迭代历史

    Figure 7.  Iteration history of Michelle structure

    表  1  双侧固定梁拓扑优化结果

    Table  1.   Topology optimization result of bilateral clamped beam

    J
    周期数 稳健性优化 确定性优化
    均值 标准差 目标函数 均值 标准差 目标函数
    M=1×1 525.62 11.98 268.80 529.72 7.84 268.78
    M=1×2 601.58 1.78 301.68 615.17 17.70 316.44
    M=2×4 862.01 35.40 448.71 884.58 33.04 458.81
    下载: 导出CSV

    表  2  米歇尔结构拓扑优化结果

    Table  2.   Topology optimization result of Michelle structure

    J
    周期数 稳健性优化 确定性优化
    均值 标准差 目标函数 均值 标准差 目标函数
    M=1×1 92.43 10.46 51.45 141.66 67.41 104.54
    M=1×2 120.52 14.87 67.70 359.52 235.67 297.60
    M=1×4 139.89 20.44 80.17 265.13 132.34 198.74
    下载: 导出CSV
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出版历程
  • 收稿日期:  2016-10-24
  • 录用日期:  2016-11-25
  • 网络出版日期:  2017-04-20

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