In a recent paper, Zhang et al. (2019) statistically analyzed the pile group effect of nine piles in a side-by-side arrangement exposed to multi-directional irregular waves. In this study, the corresponding data are further analyzed and their probabilistic distributions are examined. The Weibull distribution is used to fit the measured wave force, and the relationships between parameters A and B of the Weibull distribution are given, where it satisfactorily fitted the probability distribution of the measured wave force on the piles with the appropriate parameters. To explain the rules governing the probability distribution of the wave force, the relationships between this and the characteristics of force groupiness are studied. Variations in the parameters of the Weibull distribution and the average force coefficients are also examined using the proposed KC_LD1/3 and relative spacing (S/D). The results show that the probability distribution of the irregular wave force on piles exposed to multi-directional irregular waves is strongly dependent on the wave directionality, KC_LD1/3 numbers and relative spacing.

在最近的一篇论文中，Zhang等人。（2019）统计分析了9个桩并排布置的多方向不规则波的桩群效应。在这项研究中，将进一步分析相应的数据并检查其概率分布。威布尔分布用于拟合测得的波浪力以及参数A和B之间的关系给出了Weibull分布的分布，其中用适当的参数令人满意地拟合了桩上测得的波浪力的概率分布。为了解释控制波浪力概率分布的规则，研究了波浪力与力群特征之间的关系。使用建议的KC _{LD 1/3}和相对间距（S / D），还检查了威布尔分布参数和平均力系数的变化。结果表明，不规则波浪力在多向不规则波浪中的概率分布与波浪方向性密切相关，KC _{LD 1/3} 数字和相对间距。