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蜂窝壁缺失所致应力集中分析

石晓飞 席平 宋玉旺 李如 石晓娟

石晓飞, 席平, 宋玉旺, 等 . 蜂窝壁缺失所致应力集中分析[J]. 北京航空航天大学学报, 2016, 42(12): 2662-2668. doi: 10.13700/j.bh.1001-5965.2015.0819
引用本文: 石晓飞, 席平, 宋玉旺, 等 . 蜂窝壁缺失所致应力集中分析[J]. 北京航空航天大学学报, 2016, 42(12): 2662-2668. doi: 10.13700/j.bh.1001-5965.2015.0819
SHI Xiaofei, XI Ping, SONG Yuwang, et al. Stress concentration analysis of honeycomb with missing cell walls[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(12): 2662-2668. doi: 10.13700/j.bh.1001-5965.2015.0819(in Chinese)
Citation: SHI Xiaofei, XI Ping, SONG Yuwang, et al. Stress concentration analysis of honeycomb with missing cell walls[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(12): 2662-2668. doi: 10.13700/j.bh.1001-5965.2015.0819(in Chinese)

蜂窝壁缺失所致应力集中分析

doi: 10.13700/j.bh.1001-5965.2015.0819
详细信息
    作者简介:

    石晓飞, 男, 博士研究生。主要研究方向:航天器结构设计及强度仿真。E-mail:xiaofshi@foxmail.com

    宋玉旺, 男, 博士, 讲师。主要研究方向:复杂产品数字化设计方法。E-mail:46102492@qq.com

    通讯作者:

    席平, 女, 博士, 教授, 博士生导师。主要研究方向:CAD/CAE、航天器数字化设计。Tel.:010-82316747, E-mail:xiping@buaa.edu.cn

  • 中图分类号: V221+.3;TB553

Stress concentration analysis of honeycomb with missing cell walls

More Information
  • 摘要:

    蜂窝或胞壁缺失是蜂窝夹层结构缺陷形式的一种,由于蜂窝(壁)的缺失,导致蜂窝芯子的连续性被破坏,并产生应力集中。本文从蜂窝细观尺度出发,通过数值解析与有限元模拟相结合的方式对缺陷周围胞壁正应力进行分析,首先,通过有限元模拟得到胞壁的拉应力结果,结果表明,应力集中带状区上的胞壁标准化拉应力沿横向符合近似卡方概率密度函数的分布形式;存在一个临界位置使蜂窝壁拉应力分布曲线出现反转。其次,对蜂窝缺陷最大拉应力处的壁内弯矩值与胞壁缺失个数的关系进行了推导。最后,给出了预估弯曲应力的公式,并分析了缺陷形状对预估公式参数的影响。

     

  • 图 1  蜂窝壁单个缺失

    Figure 1.  Honeycomb with missing cell walls

    图 2  蜂窝壁单元缺失

    σ2, maxP-缺陷蜂窝胞壁拉应力最大值;ycr-临界y值。

    Figure 2.  Honeycomb with missing cell wall elements

    图 3  缺陷蜂窝芯子有限元模型及缺失单元

    Figure 3.  Finite element model of honeycomb core with defects and corresponding missing element

    图 4  应力集中带状区胞壁标准化拉应力分布

    Figure 4.  Normalized tensile stress distribution of cell walls in stress concentration strip area

    图 5  m=3, n=7缺陷附近竖向蜂窝壁内拉应力分布

    Figure 5.  Tensile stress distribution of y-direction honeycomb walls with defect of m=3, n=7

    图 6  m=3, n=3缺陷附近竖向蜂窝壁内拉应力分布

    Figure 6.  Tensile stress distribution of y-direction honeycomb walls with defect of m=3, n=3

    图 7  m=5, n=1缺陷附近竖向蜂窝壁内拉应力分布

    Figure 7.  Tensile stress distribution of y-directionhoneycomb walls with defect of m=5, n=1

    图 8  最大拉应力所在胞壁应力分解

    Figure 8.  Stress decomposition on cell wall with maximum tensile stress

    图 9  最大拉应力处蜂窝壁静力分析

    -蜂窝壁A所受y向拉力。

    Figure 9.  Static analysis of honeycomb walls with maximum tensile stress

    图 10  α/α0n的变化关系

    Figure 10.  Variation relationship of α/α0 with n

    图 11  导致不同应力集中程度的6种缺陷类型[17]

    Figure 11.  Six different defect types of stress concentration[17]

    表  1  应力集中带状区的胞壁标准化拉应力有限元结果

    Table  1.   FEM results of normalized tensile stress of cell walls in stress concentration strip area

    x/w σ2P/σ2
    n=4 n=5 n=8
    2(2.5) 1.265 7 (1.365 1)
    3(3.5) 1.252 9 (1.325 9)
    4(4.5) 1.195 1 (1.249 2) 1.628 5
    5(5.5) 1.146 7 (1.188 0) 1.528 0
    6(6.5) 1.112 3 (1.144 5) 1.403 9
    7(7.5) 1.088 3 (1.114 1) 1.308 9
    8(8.5) 1.071 5 (1.092 7) 1.241 4
    9(9.5) 1.059 4 (1.077 1) 1.193 5
    10(10.5) 1.050 5 (1.065 6) 1.158 9
    11(11.5) 1.043 9 (1.056 9) 1.133 3
    12(12.5) 1.038 9 (1.050 1) 1.114 0
    13(13.5) 1.034 9 (1.044 8) 1.099 0
    14 1.087 2
    15 1.077 8
    下载: 导出CSV

    表  2  蜂窝壁横向拉应力值拟合残差

    Table  2.   Fitting error of x-directional tensile stress of cell walls

    %
    公式号 n=4 n=5 n=8
    式(3) 0.04 0.07 0.19
    式(6) 0.40 0.66 1.80
    式(7) 1.98 16.10
    下载: 导出CSV

    表  3  不同n值时的α/α0

    Table  3.   Variations of α/α0 with different n

    n 4 5 6 7 8
    α/α0 1.000 0 0.844 2 0.880 0 0.943 3 1.019 8
    下载: 导出CSV
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出版历程
  • 收稿日期:  2015-12-17
  • 录用日期:  2016-03-18
  • 刊出日期:  2017-12-20

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