As a severe disaster in the whole world, hail poses significant threats to the life of human and other animals. To prevent potential damages caused by hail, it is important to clearly understand and accurately predict the mechanical response of natural hailstones to impact, which is, however, extremely challenging due to the randomness of the hailstone’s geometric configuration, spatial location, spatial attitude, motion state and so on. In this work, randomness was incorporated into these parameters based on statistical analysis of experimental data, an approach was then proposed to generate a spatial field consisting of sparse and random hailstones by using Monte Carlo algorithm. Based on the statistical data of falling hailstones in the literature, a random hail field was established via the proposed approach and then used to simulate the response of stochastic hailstones impacting on a rigid target using the finite element method. The random response of hail impact was well captured by simulation results, and the convergence and reliability of the proposed modeling approach was validated by a comparison between simulation results and the experimental data in the literature. It was finally discussed the promising potential of the application of the proposed model.

冰雹是世界范围内的严重灾害，对人类和其他动物的生命构成重大威胁。为了防止冰雹造成的潜在损害，重要的是要清楚地了解和准确预测天然冰雹对撞击的机械响应，但是由于冰雹的几何配置、空间位置、空间姿态、运动的随机性，这极具挑战性。状态等等。在这项工作中，在对实验数据进行统计分析的基础上，将随机性纳入这些参数中，然后提出了一种使用蒙特卡罗算法生成由稀疏和随机冰雹组成的空间场的方法。根据文献中冰雹落下的统计数据，通过所提出的方法建立了一个随机冰雹场，然后使用有限元方法模拟随机冰雹撞击刚性目标的响应。模拟结果很好地捕捉了冰雹冲击的随机响应，通过模拟结果与文献中的实验数据的比较验证了所提出的建模方法的收敛性和可靠性。最后讨论了所提出模型的应用前景。通过仿真结果与文献中的实验数据的比较，验证了所提出的建模方法的收敛性和可靠性。最后讨论了所提出模型的应用前景。通过仿真结果与文献中的实验数据的比较，验证了所提出的建模方法的收敛性和可靠性。最后讨论了所提出模型的应用前景。