Two-Dimensional Numerical Method for Predicting the Resistance of Ships in Pack Ice: Development and Validation

This study presents a 2D numerical simulation method for predicting the resistance of ships navigating in pack ice. The key contribution of this study lies in the derivation of analytical closed-form solutions for calculating the flexural deformation and stress distribution in an elastic plate using...

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Main Authors: Yan Huang, Ce Sun, Jianqiao Sun
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/12/12/2251
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author Yan Huang
Ce Sun
Jianqiao Sun
author_facet Yan Huang
Ce Sun
Jianqiao Sun
author_sort Yan Huang
collection DOAJ
description This study presents a 2D numerical simulation method for predicting the resistance of ships navigating in pack ice. The key contribution of this study lies in the derivation of analytical closed-form solutions for calculating the flexural deformation and stress distribution in an elastic plate using Symplectic Mechanics and Hooke’s laws. These solutions are used to determine the failure mode of ice floes. Linear Elastic Fracture Mechanics (LEFMs) and the weight function method are utilized to analyze crack initiation, propagation, and fracture. Ice is broken when a crack propagates to 14.5% of the ice length. The compressive strength of ice and the contact area are used to calculate the ice load. A collision method was developed based on the Sweep and Prune (SAP) and Gilbert–Johnson–Keerthi (GJK) algorithms. A program for predicting the resistance of ships navigating in pack ice was developed based on MATLAB and the aforementioned theories. The navigation resistance of RV Xuelong at different ice concentrations and speeds was simulated and compared with the model test results from an ice tank. The comparison shows that the simulation results are consistent with the test results, with an average error of 9.05%, indicating the effectiveness and reliability of this numerical method. This study lays a solid foundation for future research on autonomous ship navigation in pack ice.
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spelling doaj-art-a19642bf898c48c1a75fdb3eb23d07f82024-12-27T14:33:23ZengMDPI AGJournal of Marine Science and Engineering2077-13122024-12-011212225110.3390/jmse12122251Two-Dimensional Numerical Method for Predicting the Resistance of Ships in Pack Ice: Development and ValidationYan Huang0Ce Sun1Jianqiao Sun2State Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation, Tianjin University, Tianjin 300350, ChinaState Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation, Tianjin University, Tianjin 300350, ChinaState Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation, Tianjin University, Tianjin 300350, ChinaThis study presents a 2D numerical simulation method for predicting the resistance of ships navigating in pack ice. The key contribution of this study lies in the derivation of analytical closed-form solutions for calculating the flexural deformation and stress distribution in an elastic plate using Symplectic Mechanics and Hooke’s laws. These solutions are used to determine the failure mode of ice floes. Linear Elastic Fracture Mechanics (LEFMs) and the weight function method are utilized to analyze crack initiation, propagation, and fracture. Ice is broken when a crack propagates to 14.5% of the ice length. The compressive strength of ice and the contact area are used to calculate the ice load. A collision method was developed based on the Sweep and Prune (SAP) and Gilbert–Johnson–Keerthi (GJK) algorithms. A program for predicting the resistance of ships navigating in pack ice was developed based on MATLAB and the aforementioned theories. The navigation resistance of RV Xuelong at different ice concentrations and speeds was simulated and compared with the model test results from an ice tank. The comparison shows that the simulation results are consistent with the test results, with an average error of 9.05%, indicating the effectiveness and reliability of this numerical method. This study lays a solid foundation for future research on autonomous ship navigation in pack ice.https://www.mdpi.com/2077-1312/12/12/2251ship resistanceice tanktestfracturenumerical simulation
spellingShingle Yan Huang
Ce Sun
Jianqiao Sun
Two-Dimensional Numerical Method for Predicting the Resistance of Ships in Pack Ice: Development and Validation
Journal of Marine Science and Engineering
ship resistance
ice tank
test
fracture
numerical simulation
title Two-Dimensional Numerical Method for Predicting the Resistance of Ships in Pack Ice: Development and Validation
title_full Two-Dimensional Numerical Method for Predicting the Resistance of Ships in Pack Ice: Development and Validation
title_fullStr Two-Dimensional Numerical Method for Predicting the Resistance of Ships in Pack Ice: Development and Validation
title_full_unstemmed Two-Dimensional Numerical Method for Predicting the Resistance of Ships in Pack Ice: Development and Validation
title_short Two-Dimensional Numerical Method for Predicting the Resistance of Ships in Pack Ice: Development and Validation
title_sort two dimensional numerical method for predicting the resistance of ships in pack ice development and validation
topic ship resistance
ice tank
test
fracture
numerical simulation
url https://www.mdpi.com/2077-1312/12/12/2251
work_keys_str_mv AT yanhuang twodimensionalnumericalmethodforpredictingtheresistanceofshipsinpackicedevelopmentandvalidation
AT cesun twodimensionalnumericalmethodforpredictingtheresistanceofshipsinpackicedevelopmentandvalidation
AT jianqiaosun twodimensionalnumericalmethodforpredictingtheresistanceofshipsinpackicedevelopmentandvalidation