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Identification of ice loads on ship structure using a hybrid regularization strategy
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  • Published: 27 May 2026

Identification of ice loads on ship structure using a hybrid regularization strategy

  • Chenyan Zhou1,2,
  • Ling Chen1,4,
  • XiaoQuan Li3,
  • Weiting Liu4,
  • Qun Yin4 &
  • …
  • Jianing Zhang2 

Scientific Reports (2026) Cite this article

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Mathematics and computing

Abstract

Accurately identifying ice loads acting on a ship is crucial for ensuring the structural safety of polar vessels. To mitigate the severe ill-posedness caused by limited measurement data and high sensitivity to noise, regularization techniques are widely used in ice load identification. However, existing regularization strategies often struggle to balance the preservation of transient impact peaks with the reconstruction of smooth background fluctuations, leading to ice load identification results that lack physical plausibility. To address this, this study proposes an ice load identification method based on a hybrid regularization strategy. First, Green’s kernel functions are used to establish a dynamic mapping between the structural strain response and impact ice loads, thereby formulating the inverse problem model for ice load identification. On this basis, a hybrid regularization model combining the advantages of the L1 and L2 norms is introduced, designed to simultaneously capture the peaks of impact loads while maintain the continuity of low-amplitude background loads. The corresponding objective function is efficiently solved using a coordinate descent algorithm, and the optimal set of regularization parameters is selected based on the Bayesian Information Criterion (BIC). Finally, the performance of the proposed method is evaluated through high-fidelity numerical simulations of the local structure of an ice-class research vessel, and its engineering applicability is validated through scaled model experiments. The results indicate that the hybrid regularization strategy not only enhances the accuracy of peak load identification but also effectively mitigates signal truncation in low-amplitude regions, demonstrating a balanced overall performance. In multi-source impact scenarios, it exhibits high robustness and low sensitivity to interference. The proposed method provides an effective solution for ice load identification in polar vessels.

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Acknowledgments

The authors are particularly grateful to the Mechanics Group of Nantong Institute of Technology, the School of Ship and Ocean Engineering, Dalian Maritime University for providing support.

Funding

This research was funded by the Natural Science Research Program for Universities of Jiangsu Province, China (Grant No. 23KJD580004) and Nantong the Science and Technology Planning Project (Grant No. JC2024059).

Author information

Authors and Affiliations

  1. School of Naval Architecture and Ocean Engineering, Nantong Institute of Technology, Nantong, 226000, China

    Chenyan Zhou & Ling Chen

  2. School of Naval Architecture and Ocean Engineering, Dalian Maritime University, Dalian, 116026, China

    Chenyan Zhou & Jianing Zhang

  3. School of Materials Science and Engineering, Nanjing Institute of Technology, Nanjing, 211167, China

    XiaoQuan Li

  4. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, China

    Ling Chen, Weiting Liu & Qun Yin

Authors
  1. Chenyan Zhou
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  2. Ling Chen
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  3. XiaoQuan Li
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  4. Weiting Liu
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  5. Qun Yin
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  6. Jianing Zhang
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Corresponding authors

Correspondence to Ling Chen or Jianing Zhang.

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Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.

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Cite this article

Zhou, C., Chen, L., Li, X. et al. Identification of ice loads on ship structure using a hybrid regularization strategy. Sci Rep (2026). https://doi.org/10.1038/s41598-026-54263-z

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  • Received: 21 January 2026

  • Accepted: 18 May 2026

  • Published: 27 May 2026

  • DOI: https://doi.org/10.1038/s41598-026-54263-z

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Keywords

  • Polar vessels
  • Ice load identification
  • Hybrid regularization
  • Numerical simulation
  • Scaled model experiments
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