Chinese Journal of Ship Research, Volume. 17, Issue 6, 236(2022)

Combined surrogate model for stress prediction of spherical bulkhead with openings

Tianyi CHEN1, Weiping HE2, Jun LIU1, and Yuansheng CHENG1
Author Affiliations
  • 1School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • 2Wuhan Second Ship Design and Research Institute, Wuhan 430205, China
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    Figures & Tables(10)
    [in Chinese]
    [in Chinese]
    [in Chinese]
    [in Chinese]
    • Table 1. Structural parameters of typical spherical bulkhead with openings

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      Table 1. Structural parameters of typical spherical bulkhead with openings

      编号结构参数符号
      1球壁半径R2
      2圆柱壳半径R1
      3过渡环半径R3
      4球壁厚度t1
      5圆柱壳厚度t2
      6过渡环厚度t3
      7围栏厚度t4
      8偏斜围栏半径R4
      9偏斜围栏高度h
      10偏斜围栏内伸高度h1
      11偏斜角θ
      12斜置围栏半径R4'
      13斜置围栏高度h'
      14斜置围栏内伸高度h1'
      15水平斜置角φ
      16斜置围栏水平坐标ex
      17斜置围栏竖直坐标ey
    • Table 2. Design variable value space of single-opening surrogate model

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      Table 2. Design variable value space of single-opening surrogate model

      设计变量取值空间
      水平偏角Qzx /(°)[5:2:25]
      竖直偏角Qyz /(°)[5:2:25]
      围栏轴心x方向位置e1 /m[0.8:0.2:2.4]
      围栏内、外伸高度之和dh1 /m[0.5:0.1:1.2]
      围栏内伸高度系数kh[0.3:0.05:0.7]
      围栏半径R4 /m[0.2:0.04:0.6]
      围栏厚度t4 /m[0.035:0.005:0.07]
      球壁半径R2 /m[3:0.4:7]
      圆柱壳半径/球壁半径k1[0.75:0.01:0.85]
      过渡环半径/球壁半径k2[0.18:0.004:0.22]
      过渡环厚度t3 /m[0.04:0.005:0.08]
      圆柱壳厚度/过渡环厚度kt1[0.75:0.02:0.95]
      球壁厚度/过渡环厚度kt2[0.9:0.02:1.1]
    • Table 3. Accuracy of characteristic stress surrogate model under different number of sample points

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      Table 3. Accuracy of characteristic stress surrogate model under different number of sample points

      样本点数特征应力平均误差/%最大误差/%
      40dσ15.6930.21
      σ26.5928.19
      σ38.5644.41
      σ45.4039.54
      70dσ14.5325.20
      σ25.2624.75
      σ36.6846.81
      σ44.9235.37
      100dσ14.4031.10
      σ25.0622.83
      σ36.1138.68
      σ44.6137.66
    • Table 4. Accuracy of combined surrogate model

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      Table 4. Accuracy of combined surrogate model

      特征应力平均误差/%最大误差/%
      σ13.5318.44
      σ24.4717.87
      σ30.6815.73
      σ40.5618.24
    • Table 5. Parameters of typical multi-opening spherical bulkhead structure

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      Table 5. Parameters of typical multi-opening spherical bulkhead structure

      结构参数数值
      球壁半径/基准半径R2 /R*1.2
      圆柱壳半径/基准半径R1 /R*1.0
      过渡环半径/基准半径R3 /R*0.24
      球壁厚度/基准厚度t1 /t*3.0
      圆柱壳厚度/基准厚度t2/t*2.5
      过渡环厚度/基准厚度t3 /t*3.0
      围栏厚度/基准厚度t4 /t*2.5
      偏斜围栏半径/基准半径R4/R*0.07
      偏斜围栏高度h/m0.7
      偏斜围栏内伸高度h1 /m0.25
      偏斜角θ/(°)30
      斜置围栏半径/基准半径R4'/R*0.08
      斜置围栏高度h'/m0.9
      斜置围栏内伸高度h1'/m0.4
      水平斜置角φ/(°)10
      上斜置围栏水平坐标ex,upper/m3
      上斜置围栏竖直坐标ey,upper/m−0.3
      下斜置围栏水平坐标ex,lower/m2.7
      下斜置围栏竖直坐标ey,lower/m−1.3
    • Table 6. Comparison of the predicted characteristic stress values of the combined surrogate model and the calculated values of the finite element for the typical multi-opening spherical bulkhead

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      Table 6. Comparison of the predicted characteristic stress values of the combined surrogate model and the calculated values of the finite element for the typical multi-opening spherical bulkhead

      特征应力组合代理模型预报值/MPa有限元计算值/MPa组合代理模型误差/%
      偏斜围栏孔边球壁中面最大主应力565.7507.711.42
      偏斜围栏中面最大主应力398.0378.05.30
      上端斜置围栏孔边球壁中面最大主应力599.0638.0-6.11
      上端斜置围栏中面最大主应力452.2441.52.42
      下端斜置围栏孔边球壁中面最大主应力599.3641.2-6.54
      下端斜置围栏中面最大主应力460.0443.23.80
      过渡环中点内表面纵向应力794.5793.50.12
      与过渡环连接处的圆柱壳内表面纵向应力330.3317.83.93
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    Tianyi CHEN, Weiping HE, Jun LIU, Yuansheng CHENG. Combined surrogate model for stress prediction of spherical bulkhead with openings[J]. Chinese Journal of Ship Research, 2022, 17(6): 236

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    Paper Information

    Category: Ship Structure and Fittings

    Received: May. 25, 2021

    Accepted: --

    Published Online: Mar. 26, 2025

    The Author Email:

    DOI:10.19693/j.issn.1673-3185.02390

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