Chinese Journal of Ship Research, Volume. 17, Issue 3, 264(2022)

Analysis of the direct calculation method of ship fatigue damage considering slamming load

Weijun XU1,2, Zhen HUA1, Huilong REN1,2, Chenfeng LI1,2, and Woda LI3
Author Affiliations
  • 1College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
  • 2MOE International Joint Laboratory of Naval Architecture and Offshore Technology, Harbin 150001, China
  • 3Marine Design and Research Institute of China, Shanghai 200011, China
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    Figures & Tables(13)
    [in Chinese]
    [in Chinese]
    [in Chinese]
    • Table 1. Location of fatigue hotspots of a ship

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      Table 1. Location of fatigue hotspots of a ship

      热点编号热点所在位置
      Hotspot01345号肋位,横舱壁、06甲板与纵舱壁三者交点处
      Hotspot02345号肋位,横舱壁、03甲板与纵舱壁三者交点处
      Hotspot03262号肋位,横舱壁、07甲板与纵舱壁三者交点处
      Hotspot04208号肋位,03甲板左舷右侧舱口角隅处
      Hotspot05136号肋位,上层建筑左端部与03甲板交点处
      Hotspot06137号肋位,02甲板左端上层建筑折角处
      Hotspot0760号肋位,04甲板横梁与横舱壁交点处
      Hotspot0852号肋位,横舱壁和03甲板与纵舱壁交点处
      Hotspot09234号肋位,03甲板下横梁与横舱壁交点处
      Hotspot10222号肋位,横舱壁和04甲板与左侧距船舯1 000 mm处纵舱壁交点处
    • Table 2. Basic parameters of fatigue damage calculation

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      Table 2. Basic parameters of fatigue damage calculation

      参数数值
      装载工况满载
      浪向角θ/( º)0,30,60
      波浪圆频率ω/( rad·s-1)0~2.5(间隔频率为0.01)
      海况北大西洋海况
      海浪谱双参数P-M谱
      设计寿命/年50
    • Table 3. Experimental S-N curve parameters

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      Table 3. Experimental S-N curve parameters

      S-N曲线KSq
      C4.677×101277.624 7
      D1.520×101253.368 0
      E1.282×101250.43
    • Table 4. Fatigue damage and nonlinear contribution of each hotspot

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      Table 4. Fatigue damage and nonlinear contribution of each hotspot

      热点编号波频分量的疲劳损伤度计及砰击的总损伤度非线性贡献度非线性影响系数
      Hotspot013.40×10−125.58×10−120.6421.104
      Hotspot025.27×10−98.82×10−90.6741.171
      Hotspot031.10×10−11.80×10−10.6401.147
      Hotspot043.48×10−75.83×10−70.6721.167
      Hotspot053.08×10−85.47×10−80.7751.215
      Hotspot063.96×10−86.90×10−80.7441.216
      Hotspot073.00×10−95.69×10−90.8951.255
      Hotspot082.00×10−83.70×10−80.8471.296
      Hotspot097.39×10−81.27×10−70.7181.148
      Hotspot101.21×10−72.07×10−70.7031.152
    • Table 5. Damage calculated by time domain combined beam theory method

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      Table 5. Damage calculated by time domain combined beam theory method

      热点编号非线性影响系数应力集中系数计及砰击的损伤度
      Hotspot011.1041.4540.172
      Hotspot021.1711.3120.087
      Hotspot031.1471.4530.180
      Hotspot041.1674.6440.617
      Hotspot051.2151.3840.107
      Hotspot061.2161.3050.132
      Hotspot071.2551.3360.107
      Hotspot081.2961.1520.408
      Hotspot091.1481.2510.050
      Hotspot101.1521.8190.292
    • Table 6. Calculation parameters of wave load response

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      Table 6. Calculation parameters of wave load response

      参数数 值
      计算航速/kn16
      计算浪向角θ/(º)0,30,60,90,120,150,180,210,240,270,300,330
      各航向出现的概率1/12
      计算波浪圆频率ω/(rad·s−1)0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.0,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2.0
    • Table 7. Spectrum analysis and evaluation results of example ship

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      Table 7. Spectrum analysis and evaluation results of example ship

      热点编号疲劳累积损伤度 (压载)疲劳累积损伤度 (满载)总损伤度
      Hotspot010.1050.1160.221
      Hotspot020.0750.0840.160
      Hotspot030.0930.1250.217
      Hotspot040.3170.3550.671
      Hotspot050.0850.0950.179
      Hotspot060.0750.090.165
      Hotspot070.0630.0710.134
      Hotspot080.1560.1750.331
      Hotspot090.0850.1100.194
      Hotspot100.2730.3050.578
    • Table 8. Slamming influence coefficients of each hot spot under each working condition

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      Table 8. Slamming influence coefficients of each hot spot under each working condition

      热点编号砰击影响系数
      θ = 0°θ = 30°θ = 60°
      Hotspot011.1291.1101.079
      Hotspot021.2151.1751.123
      Hotspot031.1311.0921.084
      Hotspot041.2071.1691.058
      Hotspot051.2471.1991.107
      Hotspot061.2521.2011.112
      Hotspot071.2631.2101.144
      Hotspot081.3001.2451.160
      Hotspot091.1881.1261.097
      Hotspot101.1811.1391.113
    • Table 9. Fatigue damage results and slamming influence coefficients of each hotspots

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      Table 9. Fatigue damage results and slamming influence coefficients of each hotspots

      热点编号压载工况下的疲劳损伤度满载工况下的疲劳损伤度不考虑砰击的总损伤度计及砰击的总损伤度砰击影响系数
      Hotspot010.1050.1160.2210.2601.18
      Hotspot020.0750.0840.1600.1941.21
      Hotspot030.0930.1250.2170.2381.10
      Hotspot040.3170.3550.6710.7701.15
      Hotspot050.0850.0950.1790.1921.07
      Hotspot060.0750.0900.1650.2001.21
      Hotspot070.0630.0710.1340.2081.55
      Hotspot080.1560.1750.3310.4291.30
      Hotspot090.0850.1100.1940.2231.15
      Hotspot100.2730.3050.5780.6631.15
    • Table 10. Fatigue damage degree of time domain rain flow counting method and frequency domain spectrum analysis method

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      Table 10. Fatigue damage degree of time domain rain flow counting method and frequency domain spectrum analysis method

      热点编号未计及砰击的损伤度计及砰击的损伤度砰击影响系数
      时域雨流计数法频域谱分析法时域雨流计数法频域谱分析法时域雨流计数法频域谱分析法
      Hotspot010.1560.2210.1720.2601.1031.176
      Hotspot020.0740.1600.0870.1941.1761.213
      Hotspot030.1570.2170.1800.2381.1461.097
      Hotspot040.5290.6710.6170.7701.1661.148
      Hotspot050.0880.1790.1070.1921.2161.073
      Hotspot060.1090.1650.1320.2001.2111.212
      Hotspot070.0850.1340.1070.2081.2591.552
      Hotspot080.3150.3310.4080.4291.2951.296
      Hotspot090.0440.1940.0500.2231.1361.149
      Hotspot100.2530.5780.2920.6631.1541.147
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    Weijun XU, Zhen HUA, Huilong REN, Chenfeng LI, Woda LI. Analysis of the direct calculation method of ship fatigue damage considering slamming load[J]. Chinese Journal of Ship Research, 2022, 17(3): 264

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    Paper Information

    Category: Ship Structure and Fittings

    Received: Jun. 28, 2021

    Accepted: --

    Published Online: Mar. 25, 2025

    The Author Email:

    DOI:10.19693/j.issn.1673-3185.02431

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