Chinese Journal of Ship Research, Volume. 16, Issue 4, 96(2021)

Reliability-based optimization of ship structure based on interest subdomain dynamic surrogate model

Wenjun LUO1,2,3 and Deyu WANG2,3
Author Affiliations
  • 1COSCO Shipping Specialized Carriers Co., Ltd., Guangzhou 510623, China
  • 2State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 3Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai 200240, China
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    Figures & Tables(20)
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    • Table 1. Reliability calculation results of the math example

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      Table 1. Reliability calculation results of the math example

      方法功能函数调用次数最优解$\;\beta _{{\rm{mcs}}}^1$$\;\beta _{{\rm{mcs}}}^2$$\;\beta _{{\rm{mcs}}}^3$
      理论解6.7318(3.4409,3.2909)
      改进均值法 (AMV)[4]726.7257(3.4391,3.2866)2.973.05Inf
      混合均值法 (HMV)[4]2086.7257(3.4391,3.2866)2.973.05Inf
      混沌控制法 (CC), λ=0.1 [4]11306.6620(3.4227,3.2393)2.862.93Inf
      修正混沌控制法 (HCC), λ=0.1 [4]646.7257(3.4391,3.2866)2.973.05Inf
      本文方法386.7363(3.4421,3.2942)3.063.12Inf
    • Table 2. Main dimensions and speed of the 618TEU multipurpose vessel

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      Table 2. Main dimensions and speed of the 618TEU multipurpose vessel

      参数数值
      船长/m132.9
      型宽/m19.3
      型深/m9.9
      设计吃水/m7.4
      航速/kn12
    • Table 3. Introduction of boundary conditions

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      Table 3. Introduction of boundary conditions

      约束边界约束情况说明
      首端面约束Ux=Uz=URy=URz=0
      尾端面约束Ux=Uz=URy=URz=0
      首端面参考点约束Ux=Uy=Uz=URy=URz=0
      尾端面参考点约束Ux=Uy =URy=URz=0
      中纵剖面端面对称边界条件,约束Ux = URz=0
    • Table 4. Parameter list of design variables

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      Table 4. Parameter list of design variables

      设计变量编号设计变量名称设计变量初值/mm
      ${t_1}$舷侧内板-118
      ${t_2}$甲板18
      ${t_3}$舷侧外板-116
      ${t_4}$舷侧内板-214
      ${t_5}$二层甲板9
      ${t_6}$舷侧外板-212
      ${t_7}$舷侧内板-312
      ${t_8}$内底板-112
      ${t_9}$船舭板15
      ${t_{10}}$内底板-213
      ${t_{11}}$内底板-315
      ${t_{12}}$外底板-112
      ${t_{13}}$外底板-212
      ${t_{14}}$旁底桁-112
      ${t_{15}}$旁底桁-210
      ${t_{16}}$中底桁7
    • Table 5. Analysis domain and allowable stress for \begin{document}${{{g}}_i}(x)$\end{document}

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      Table 5. Analysis domain and allowable stress for \begin{document}${{{g}}_i}(x)$\end{document}

      变量名称结构分类区域许用应力值/MPa
      ${g_1}({t_i})$主甲板、内外底板、顶边舱、底边舱斜板、舷侧内板,舷侧纵桁或平台220
      ${g_2}({t_i})$船底纵桁235
      ${g_3}({t_i})$肋板、横舱壁板175
      ${g_4}({t_i})$凳板、横框架板195
      ${g_5}({t_i})$纵向构件上的梁206
      ${g_6}({t_i})$横向构件上的梁176
    • Table 6. Comparison between reliability-based design optimization and probability-free constrained optimization

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      Table 6. Comparison between reliability-based design optimization and probability-free constrained optimization

      设计变量初始值/mm无概率约束优化结果/mm可靠性优化设计结果/mm文献[13]中的可靠性优化结果/mm
      ${t_1}$18161717
      ${t_2}$18181817
      ${t_3}$16151516
      ${t_4}$14141512
      ${t_5}$9877
      ${t_6}$12101012
      ${t_7}$12101010
      ${t_8}$12101111
      ${t_9}$15131313
      ${t_{10}}$15131313
      ${t_{11}}$15131313
      ${t_{12}}$12101010
      ${t_{13}}$12121313
      ${t_{14}}$12101010
      ${t_{15}}$10888
      ${t_{16}}$7555
      理论质量/t487.413453.300456.600460.67
      有限元计算质量/t452.536455.952458.296
      可靠度Pr /%41.8199.6899.87
      有限元计算调用次数284380
    • Table 7. Comparison between reliability-based design optimization and probability-free constrained optimization

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      Table 7. Comparison between reliability-based design optimization and probability-free constrained optimization

      评估指标初始值计算结果无概率约束优化计算结果可靠性优化计算结果文献[13]中的可靠性优化计算结果
      理论质量/t487.413453.300456.600460.67
      有限元计算质量/t452.536455.952458.296
      可靠度Pr/%41.8199.6899.87
      有限元计算调用次数284380
    • Table 8. Comparison between result of reliability-based design optimization and FEM

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      Table 8. Comparison between result of reliability-based design optimization and FEM

      变量名称可靠性优化设计有限元计算相对误差/%
      ${g_1}$/MPa200.23200.79−0.278 9
      ${g_2}$/MPa117.62118.25−0.532 8
      ${g_3}$/MPa110.05110.09−0.036 3
      ${g_4}$/MPa169.13169.36−0.135 8
      ${g_5}$/MPa205.84205.420.204 5
      ${g_6}$/MPa117.66117.630.025 5
      质量/t456.6452.5360.898 1
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    Wenjun LUO, Deyu WANG. Reliability-based optimization of ship structure based on interest subdomain dynamic surrogate model[J]. Chinese Journal of Ship Research, 2021, 16(4): 96

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    Paper Information

    Category: Symposium of Data-driven Ship Design Optimization

    Received: Jul. 26, 2020

    Accepted: --

    Published Online: Mar. 28, 2025

    The Author Email:

    DOI:10.19693/j.issn.1673-3185.02043

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