基于直接计数法和动力学模型的横浪中破损船舶倾覆概率计算研究

Calculation of Capsizing Probability for Damaged Vessels in Beam Seas Based on Direct Counting Method and Dynamic Model

  • 摘要: 【目的】本研究旨在基于直接计数法和动力学模型对横浪瘫船状态下破损船舶的倾覆概率进行计算分析,进而实现改进现行破损船舶稳性评估规范中基于剩余稳性参数对倾覆概率进行保守估计方法的目的。【方法】动力学模型考虑了“波浪-船体-进舱水”的耦合效应,其中“波浪-船体”耦合采用瞬时湿表面压力积分方法计算非线性船体回复力和Froude-Krylov力,采用STF方法和脉冲响应函数法计算辐射力和绕射力,采用试验获得的破损船舶横摇阻尼考虑流体粘性的影响;“波浪-进舱水”耦合效应采用修正的伯努利方程计算破口处的水体流入流出速率;“船体-进舱水”耦合采用集中质量法计算进水晃荡力,并采用瞬时湿表面压力积分方法考虑进水对船体的静压力,其中进水的粘性耗散作用采用半经验公式进行近似计算。基于IMO规范和上述动力学模型,采用直接计数法对破损船舶倾覆概率进行计算,并将倾覆概率表示为时间的边际概率函数。【结果】将模型应用于破损船舶标模DTMB 5415进行横摇运动响应和倾覆概率计算,主要结果如下:1)基于动力学模型的横摇运动响应结果与试验结果相比,峰值对应周期附近的相对误差均在20%以内;2)该船在30分钟内的倾覆概率随有义波高的升高而增大,当波浪特征周期接近船舶破损后的横摇固有周期附近时倾覆概率出现最大值。【结论】结果显示本研究对于横浪中破损船舶倾覆概率计算能够得到较为客观准确的结果。

     

    Abstract: Objectives This study aims to calculate and analyze the capsizing probabilities of damaged vessels in beam seas under dead ship conditions with varying significant wave heights and wave characteristic periods based on direct counting method and dynamic model and then proceed to improving the current conservative estimation method based on residual stability parameters in damaged vessel stability assessment regulations. Methods The dynamic model incorporates the coupled "wave-ship-floodwater" interactions. Wave-ship coupling involves calculating nonlinear restoring forces and Froude-Krylov forces through instantaneous wet surface pressure integration. Radiation and diffraction forces are computed using the STF method combined with impulse response functions, while experimentally derived roll damping coefficients are incorporated to address viscous effects. The wave-floodwater coupling effect is taken into account through the modified Bernoulli equations that determine water inflow/outflow rates at damaged breaches. The ship-floodwater coupling effect is considered by employing the lumped mass method to simulate sloshing forces of floodwater. Hydrostatic pressure induced by flooding is evaluated via instantaneous wet surface pressure integration. The viscous dissipation effects are approximated using semi-empirical formulas. The direct counting method, adhering to International Maritime Organization (IMO) guidelines, quantifies capsizing probability through time-dependent marginal probability functions. Results The model is applied to the benchmark damaged vessel DTMB 5415 for roll motion response and capsizing probability calculations. Key findings include: 1) The dynamic model which predicts roll motion responses shows relative errors within 20% compared to experimental results in the vicinity of the period corresponding to the peak response. 2) The 30-minute capsizing probability increases with significant wave height, reaching the maximum value when the wave characteristic period approached the natural roll period of the damaged vessel. Conclusions The proposed methodology provides objective and accurate capsizing probability predictions for damaged vessels in beam seas, demonstrating significant improvements over conventional residual stability-based approaches.

     

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