Chinese Journal of Ship Research, Volume. 16, Issue 4, 116(2021)

Sensitivity analysis method of ship hydrodynamic derivatives based on intelligent control

Zilu OUYANG1, Hongdong WANG1,2, Jianyao WANG1,2, and Hong YI1,2
Author Affiliations
  • 1State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Key Laboratory of Marine Intelligent Equipment and System Ministry of Education, Shanghai Jiao Tong University, Shanghai 200240, China
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    Figures & Tables(14)
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    • Table 1. Sensitivity coefficients of hydrodynamic derivatives based on control index

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      Table 1. Sensitivity coefficients of hydrodynamic derivatives based on control index

      水动力导数S1水动力导数S1水动力导数S1
      Xu2.12×10−2Yv1.192Nv2.83×10−1
      Xvv1.34×10−2Yr6.06×10−1Nr1.961
      Xrr1.10×10−3Yru1.13×10−2Nvu2.38×10−2
      Xrv2.55×10−2Yvu1.33×10−2Nru2.11×10−2
      Xuu2.13×10−3Yud3.20×10−3Nvvr1.45×10−1
      Xdd5.00×10−3Yvvr8.83×10−2Nvvv1.81×10−2
      Xvd2.26×10−4Yvvv1.74×10−2Nddd1.60×10−3
      Xuuu≈0Yuud≈0Nuud4.26×10−4
      Xuvd≈0Yvvd1.23×10−4Nvdd2.13×10−4
      Xudd8.89×10−5Yvdd≈0Nvvd3.40×10−3
      Yddd1.60×10−3Nud3.14×10−2
    • Table 2. Sensitivity coefficients of hydrodynamic derivatives based on composite evaluation function of the control process

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      Table 2. Sensitivity coefficients of hydrodynamic derivatives based on composite evaluation function of the control process

      水动力导数S2水动力导数S2水动力导数S2
      Xu8.25×10−1Yv3.896Nv8.62×10−1
      Xvv6.27×10−1Yr8.363Nr4.25×10−1
      Xrr6.95×10−2Yru9.34×10−2Nvu1.62×10−2
      Xrv1.349Yvu1.02×10−1Nru1.17×10−2
      Xuu1.50×10−2Yud8.58×10−3Nvvr2.89×10−2
      Xdd3.96×10−1Yvvr6.14×10−1Nvvv1.00×10−2
      Xvd2.08×10−2Yvvv1.40×10−1Nddd2.66×10−2
      Xuuu6.36×10−4Yuud1.44×10−4Nuud4.05×10−4
      Xuvd3.14×10−4Yvvd1.33×10−2Nvdd3.99×10−4
      Xudd6.50×10−3Yvdd2.31×10−4Nvvd6.23×10−3
      Yddd3.80×10−2Nud3.95×10−2
    • Table 3. Sensitivity coefficients of hydrodynamic derivatives based on standard maneuverability test index

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      Table 3. Sensitivity coefficients of hydrodynamic derivatives based on standard maneuverability test index

      水动力导数S3水动力导数S3水动力导数S3
      Xu9.28×10−1Yv2.332Nv4.527
      Xvv1.13×10−1Yr1.640Nr4.296
      Xrr4.23×10−2Yru1.91×10−1Nvu2.65×10−1
      Xrv2.78×10−1Yvu1.09×10−1Nru3.92×10−1
      Xuu3.94×10−2Yud8.97×10−1Nvvr1.806
      Xdd2.22×10−1Yvvr1.368Nvvv1.90×10−1
      Xvd9.46×10−2Yvvv1.13×10−1Nddd3.03×10−1
      Xuuu3.50×10−2Yuud3.87×10−2Nuud1.70×10−1
      Xuvd1.16×10−2Yvvd5.60×10−2Nvdd2.77×10−2
      Xudd2.48×10−1Yvdd8.62×10−4Nvvd2.31×10−1
      Yddd1.17×10−1Nud6.00×10−1
    • Table 4. Cluster analysis results of hydrodynamic derivatives based on multi-dimensional sensitivity coefficient

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      Table 4. Cluster analysis results of hydrodynamic derivatives based on multi-dimensional sensitivity coefficient

      水动力导数聚类标签水动力导数聚类标签水动力导数聚类标签
      XuBYvANvA
      XvvCYrANrA
      XrrCYruCNvuC
      XrvBYvuCNruC
      XuuCYudCNvvrB
      XddCYvvrBNvvvC
      XvdCYvvvCNdddC
      XuuuCYuudCNuudC
      XuvdCYvvdCNvddC
      XuddCYvddCNvvdC
      YdddCNudC
    • Table 5. Euclidean distance between cluster centers and origin

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      Table 5. Euclidean distance between cluster centers and origin

      聚类欧氏距离
      A1.542
      B1.225
      C0.904
    • Table 6. Path tracking point

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      Table 6. Path tracking point

      路径点坐标/m
      1(0,0)
      2(3 000,3000
      3(6 000,0)
      4(9 000,3 000)
      5(12 000,0)
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    Zilu OUYANG, Hongdong WANG, Jianyao WANG, Hong YI. Sensitivity analysis method of ship hydrodynamic derivatives based on intelligent control[J]. Chinese Journal of Ship Research, 2021, 16(4): 116

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    Paper Information

    Category: Ship Design and Performance

    Received: Jun. 7, 2020

    Accepted: --

    Published Online: Mar. 28, 2025

    The Author Email:

    DOI:10.19693/j.issn.1673-3185.01992

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