An analytically derived solution for the time history of a ship-ice impact

IF 3.8 2区工程技术 Q1 ENGINEERING, CIVIL

Cold Regions Science and Technology Pub Date : 2025-09-27 DOI:10.1016/j.coldregions.2025.104706

Edward J.D. Bryson, Sthéfano L. Andrade, Bruce W.T. Quinton

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引用次数: 0

Abstract

The Popov-Daley method is a closed form analytically derived model used for calculating contact forces of a ship-ice impact. It consists of determining the available kinetic energy of the ship-ice system which is then dissipated into indentation energy. This method has been applied in multiple areas, with the International Association of Classification Societies (IACS) Unified Requirements for Polar Class Ships (Polar URs) using the Popov-Daley method as part of its design ice load model, assuming that all energy is dissipated through ice crushing, whereas other studies involving non-ice strengthened ships allow for structural deformation and thus consider both ice and structural indentation energies. More recently, the Popov-Daley method has seen use in multiple academic studies where its application over a period of time is desired, but a solution for the time – history derived from the underlying energy balance equations does not currently exist. With this in mind, a method for analytically solving the time – history of a Popov-Daley style ship-ice collision model has been developed, with equations derived for the indentation depth – time relationship as well as for the total time of the collision using the same assumptions employed in the Polar URs. The proposed models were found to be in very good agreement with numerical and preliminary experimental results. Applications of the models and further necessary validation work are both discussed.

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船冰碰撞时程的解析推导解

波波夫-戴利法是一种用于计算船冰碰撞接触力的封闭形式解析推导模型。它包括确定船冰系统的可用动能，然后将其耗散为压痕能量。该方法已应用于多个领域，国际船级社协会（IACS）极地级船舶统一要求（Polar URs）将Popov-Daley方法作为其设计冰荷载模型的一部分，假设所有能量都通过冰破碎耗散，而其他涉及非冰加固船舶的研究考虑了结构变形，因此考虑了冰和结构压陷能量。最近，波波夫-戴利方法已经在多个学术研究中使用，在这些研究中，它的应用需要一段时间，但是从潜在的能量平衡方程中得出的时间历史的解决方案目前还不存在。考虑到这一点，我们开发了一种解析求解波波夫-戴利式船冰碰撞模型时程的方法，并使用极地URs中采用的相同假设导出了压痕深度-时间关系以及碰撞总时间的方程。所提出的模型与数值和初步实验结果吻合得很好。讨论了模型的应用和进一步必要的验证工作。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Cold Regions Science and Technology 工程技术-地球科学综合

CiteScore

7.40

自引率

12.20%

发文量

209

审稿时长

4.9 months

期刊介绍： Cold Regions Science and Technology is an international journal dealing with the science and technical problems of cold environments in both the polar regions and more temperate locations. It includes fundamental aspects of cryospheric sciences which have applications for cold regions problems as well as engineering topics which relate to the cryosphere. Emphasis is given to applied science with broad coverage of the physical and mechanical aspects of ice (including glaciers and sea ice), snow and snow avalanches, ice-water systems, ice-bonded soils and permafrost. Relevant aspects of Earth science, materials science, offshore and river ice engineering are also of primary interest. These include icing of ships and structures as well as trafficability in cold environments. Technological advances for cold regions in research, development, and engineering practice are relevant to the journal. Theoretical papers must include a detailed discussion of the potential application of the theory to address cold regions problems. The journal serves a wide range of specialists, providing a medium for interdisciplinary communication and a convenient source of reference.