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Keywords = non-linear ship motions

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35 pages, 4901 KB  
Article
Differential-Flatness-Based Trajectory Planning for Direct Helicopter Shipboard Landing with Geometry-Aware Final-Landing Constraints
by Zhihong Yang, Chen Jiang and Haowen Wang
Aerospace 2026, 13(8), 669; https://doi.org/10.3390/aerospace13080669 - 26 Jul 2026
Viewed by 239
Abstract
Autonomous helicopter shipboard landing requires the generation of dynamically feasible trajectories that can accurately match the time-varying motion of a moving deck while maintaining desirable near-deck geometric and kinematic characteristics. This paper proposes a differential-flatness-based trajectory planning method for single-phase direct shipboard landing [...] Read more.
Autonomous helicopter shipboard landing requires the generation of dynamically feasible trajectories that can accurately match the time-varying motion of a moving deck while maintaining desirable near-deck geometric and kinematic characteristics. This paper proposes a differential-flatness-based trajectory planning method for single-phase direct shipboard landing from a cruising state in the vicinity of the ship. The landing trajectory is planned in the flat-output space of a simplified differentially flat helicopter model and parameterized using the minimum-control-effort trajectory representation, MINCO, together with an unconstrained optimization formulation. To improve the final landing process, a set of geometry-aware final-landing constraints is developed by explicitly accounting for the relative pose, relative motion, and near-deck geometry between the helicopter and the moving deck. These constraints enforce terminal motion-state matching and regulate the landing-gear/deck geometry, relative tangential velocity, and relative tilt angle in the near-deck region. Comprehensive simulation studies, including ablation and parameter-sensitivity analyses, computational comparisons, Monte Carlo evaluations, and closed-loop validation with a full nonlinear UH-60 model, demonstrate that the proposed method can efficiently generate trackable shipboard landing trajectories with improved terminal consistency and pre-touchdown geometric and kinematic regulation. Additional closed-loop sensitivity tests show that the tested trajectories remained executable under moderate high-level gain variations, while accurate terminal horizontal alignment remains dependent on deck-motion prediction accuracy. Full article
(This article belongs to the Section Aeronautics)
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25 pages, 13475 KB  
Article
Online Nonparametric Identification Modeling of Intelligent Ship Maneuvering Dynamics Based on Expectation- Maximization Algorithm
by Wancheng Yue, Hongbo Nie and Weiwei Bai
J. Mar. Sci. Eng. 2026, 14(13), 1207; https://doi.org/10.3390/jmse14131207 - 30 Jun 2026
Cited by 1 | Viewed by 270
Abstract
Accurate identification of ship maneuvering dynamics is a fundamental prerequisite for realizing autonomous navigation in intelligent ship systems. Existing nonparametric identification methods face critical limitations under realistic data-stream conditions: batch-mode algorithms cannot process streaming sensor data in real time, while parametric approaches impose [...] Read more.
Accurate identification of ship maneuvering dynamics is a fundamental prerequisite for realizing autonomous navigation in intelligent ship systems. Existing nonparametric identification methods face critical limitations under realistic data-stream conditions: batch-mode algorithms cannot process streaming sensor data in real time, while parametric approaches impose rigid assumptions on the underlying system structure. This paper proposes an online nonparametric identification framework for intelligent ship maneuvering dynamics based on the Expectation-Maximization (EM) algorithm, specifically, an Online EM (OEM) variant adapted for sequential data streams. The proposed method treats ship maneuvering forces and moments with a probabilistic Gaussian mixture framework and iteratively refines both model parameters and latent structure using incoming sensor observations, without requiring a pre-specified model order. The method is designed to handle the nonlinearity and non-Gaussianity of ship motion under environmental disturbances, including wind and current. Systematic experiments are conducted on the SR108 container ship dataset, encompassing turning tests and zigzag tests. Comparative evaluations against the incremental Gaussian mixture model (IGMM) demonstrate that the proposed OEM-based method achieves superior prediction accuracy and real-time adaptability. The proposed framework provides a computationally efficient and practically deployable solution for online, structure-free modeling of intelligent ship maneuvering systems. Full article
(This article belongs to the Special Issue Ship Manoeuvring and Control)
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22 pages, 1898 KB  
Article
Research on Data-Driven Linear Prediction and Real-Time Control Method for Ship Rolling Control System in Beam Sea
by Tongtong Qie, Jianyong Zheng, Jianzheng Zhang, Hongyu Wei, Haolin Yang and Kun Wei
Oceans 2026, 7(4), 53; https://doi.org/10.3390/oceans7040053 - 26 Jun 2026
Viewed by 424
Abstract
Predicting a ship’s motion trend in waves is crucial for safe navigation and operation. Existing prediction models are mostly based on the assumption of local linear dynamics, which can achieve great performance in idealized ocean environments. However, ships typically sail in real marine [...] Read more.
Predicting a ship’s motion trend in waves is crucial for safe navigation and operation. Existing prediction models are mostly based on the assumption of local linear dynamics, which can achieve great performance in idealized ocean environments. However, ships typically sail in real marine environments with regular or irregular waves, which makes the robustness and real-time performance of ship motion estimation models particularly important. To address this limitation, this paper proposes a global linear predictor (GLP) based on the Koopman operator, which can effectively represent the nonlinear rolling dynamics of ships. Furthermore, the GLP model is used to predict and control the rolling motion of a ship in real time. The proposed method is validated in both regular and irregular wave environments. The simulation experiment results show that the accuracy of the proposed method is about 14% higher than that of other classical methods on ships’ rolling dynamics. And it achieves a more than 91% rolling reduction efficiency in all wave conditions, significantly decreasing the amplitude of a ship’s rolling. Full article
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37 pages, 6716 KB  
Article
Motion Response Prediction and Hull-Form Optimization for a Wigley Ship in Regular Waves
by Yukun Shi, Basharat Ullah, Zhijing Wu, Ru Wang, Sheng Yang and Shurui Wen
J. Mar. Sci. Eng. 2026, 14(12), 1132; https://doi.org/10.3390/jmse14121132 - 19 Jun 2026
Viewed by 403
Abstract
This study consists of two main components. The first part establishes a seakeeping assessment method, while the second part focuses on hull-form optimization with seakeeping performance as the objective. For the seakeeping analysis, the Lewis conformal mapping method is used to calculate the [...] Read more.
This study consists of two main components. The first part establishes a seakeeping assessment method, while the second part focuses on hull-form optimization with seakeeping performance as the objective. For the seakeeping analysis, the Lewis conformal mapping method is used to calculate the sectional hydrodynamic coefficients. Strip theory is then applied to obtain the global hydrodynamic coefficients of the hull. The coupled heave and pitch motion responses are calculated and compared with nonlinear time-domain simulation results and experimental data, showing good agreement. A multivariate linear regression model is established to approximate the relationship between the principal hull-form parameters and the heave and pitch RAOs. The comparison between the regression model and strip theory results shows that the prediction error remains within 5%, indicating that the regression model can provide an efficient surrogate objective function for hull-form optimization. The particle swarm optimization (PSO) algorithm is then employed to optimize the hull form, with the ship length, breadth, draft, and block coefficient considered as design variables. To further evaluate the optimized hull, additional calculations are conducted under different Froude numbers and encounter angles. Under head sea conditions with varying Froude numbers, the optimized hull reduces the peak heave RAO by 11.6–31.1% and the peak pitch RAO by 8.6–17.9%. Under different encounter angles at Fr = 0.3, the reductions in peak heave and pitch RAOs are 31.1–33.9% and 16.5–18.8%, respectively. These results demonstrate that the proposed regression assisted PSO optimization framework can effectively reduce the heave and pitch responses of the Wigley hull under the investigated regular wave conditions. Full article
(This article belongs to the Special Issue Advanced Studies in Marine Vessel Motion Control)
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22 pages, 4029 KB  
Article
A Residual PPO Method for Shipboard Helicopter Landing Control
by Xiao Chang and Jianliang Ai
Aerospace 2026, 13(6), 516; https://doi.org/10.3390/aerospace13060516 - 31 May 2026
Viewed by 438
Abstract
Shipboard helicopter landing in the near-deck region requires stable attitude regulation and high-precision deck-relative motion control under substantial model uncertainty and environmental disturbances, conditions under which conventional model-based controllers may lose performance or become overly conservative. This paper proposes a task-oriented, learning-enhanced control [...] Read more.
Shipboard helicopter landing in the near-deck region requires stable attitude regulation and high-precision deck-relative motion control under substantial model uncertainty and environmental disturbances, conditions under which conventional model-based controllers may lose performance or become overly conservative. This paper proposes a task-oriented, learning-enhanced control algorithm for ship-relative near-deck station keeping and landing by integrating a model-based baseline controller with residual reinforcement learning in a deck-relative closed-loop framework. The algorithmic contribution is the deck-relative baseline–residual control architecture: a split-channel incremental nonlinear dynamic inversion (INDI) outer loop and a reduced-order dynamic inversion (DI) inner loop provide the nominal baseline pathway, while a bounded residual Proximal Policy Optimization (PPO) policy supplies compensation in the same physical outer-loop command channels to suppress unmodeled nonlinearities and time-varying disturbances. Simulation results show that Residual PPO improves hover robustness and landing performance relative to the baseline controller and Pure PPO. With approximately 20–30% residual authority, it achieved 90.0% Desired landing rates in both tested descent-and-landing scenes. Full article
(This article belongs to the Section Aeronautics)
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26 pages, 2568 KB  
Article
Simulation of a Four-Stroke Diesel Engine for Propulsion in Wave
by Zhe Chen, Fan Shi, Jiawang Li and Guangnian Li
Algorithms 2026, 19(5), 421; https://doi.org/10.3390/a19050421 - 21 May 2026
Viewed by 392
Abstract
With the development of shipping to harsh marine environment, it is very important to understand the transient behavior of a marine diesel engine in high sea conditions. Wave-induced hull motion will lead to severe load fluctuations and air-fuel ratio imbalance. In this study, [...] Read more.
With the development of shipping to harsh marine environment, it is very important to understand the transient behavior of a marine diesel engine in high sea conditions. Wave-induced hull motion will lead to severe load fluctuations and air-fuel ratio imbalance. In this study, an integrated simulation platform coupled with environmental loads, hull dynamics, propeller characteristics and a high-fidelity thermodynamic engine model was constructed to explore the response characteristics of the propulsion system. The model integrates a zero-dimensional multi-zone combustion method, turbocharger dynamic characteristics and an incremental PID governor, and has been verified based on the bench test data of TBD234V12 diesel engine and the 20 m Wigley standard ship. The simulation results under the sea conditions from level 7 to 9 show that the transient load has a nonlinear amplification effect. Specifically, from sea state 7 to sea state 9, the engine load fluctuation range expands by 2.0 times, while the main peak amplitude of speed fluctuation increases by 3.7 times. Furthermore, the peak exhaust pressure rises by 1.8 times, and the exhaust temperature fluctuation amplitude broadens by 35%. Frequency domain analysis further identified the low-frequency energy concentration phenomenon in the exhaust pressure spectrum and the precursor characteristics of compressor surge. The research results quantify the deterioration law of thermodynamic stability and mechanical stress under wave disturbance, and provide an important reference for the formulation of an engine robust control strategy and fatigue life assessment under high sea conditions. Full article
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20 pages, 2324 KB  
Article
A System Identification Approach to Motion Model Based on Full-Scale Ship Maneuvering Data
by Yanfei Tian, Wuliu Tian, Ke Zhang, Lin Hua, Jie Wen and Fangyang Zhu
Sensors 2026, 26(10), 3199; https://doi.org/10.3390/s26103199 - 19 May 2026
Viewed by 658
Abstract
The paper concerns motion modeling for full-scale ships under the frame of system identification (SI) principles. Several groups of full-scale ship maneuvering experiments have been implemented to collect research data. On structure identification, as an innovation, a nonlinear integrating ship motion model is [...] Read more.
The paper concerns motion modeling for full-scale ships under the frame of system identification (SI) principles. Several groups of full-scale ship maneuvering experiments have been implemented to collect research data. On structure identification, as an innovation, a nonlinear integrating ship motion model is identified and established. The concerned model includes 21 parameters. Under the premise of error criterion, a batch least-squares (BLS)-based parameter estimation process is used to estimate the 21 parameters. The strategy is verified for feasibility and availability by using a pragmatic case study. The accuracy of the estimated parameter values is checked by comparing the track in simulation with the trial trajectory. Research indicates that the technical process proposed in the paper from the perspective of SI principles can be applied to the modeling of ship maneuvering motion. Full article
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16 pages, 3239 KB  
Article
Cooperative Control of USVs for Engineering Mother Ship Operation Scenarios Under Complex Sea State
by Wenxuan Ma, Teer Guo, Xianku Zhang and Chunyu Song
J. Mar. Sci. Eng. 2026, 14(10), 874; https://doi.org/10.3390/jmse14100874 - 8 May 2026
Viewed by 360
Abstract
In order to solve the engineering ships’ problem of difficult operation and low precision of cooperative control under complex sea states, this paper proposes a control strategy utilizing USVs to collaborate with an engineering mother ship for operational purposes. By using the nonlinear [...] Read more.
In order to solve the engineering ships’ problem of difficult operation and low precision of cooperative control under complex sea states, this paper proposes a control strategy utilizing USVs to collaborate with an engineering mother ship for operational purposes. By using the nonlinear feedback method to improve the closed-loop gain-shaping algorithm, the tangent function is introduced to effectively solve the unstable problem of the control system for small USVs under complex sea states. Meanwhile, the motion of the mother ship is decoupled to establish the mathematical model of the headwind stationary state, and the improved closed-loop gain-shaping algorithm is applied to design the course-keeping controller and speed controller to effectively meet the dynamic positioning fixed-point control tasks of mother ships. The results show that the designed USV-engineering mother ship cooperative controller is effective under complex sea states. The control strategy is convenient and energy-saving, providing technical support for the improvement of informatization and the intelligence level of USV–mother ship cooperative control. Full article
(This article belongs to the Special Issue New Technologies in Autonomous Ship Navigation)
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19 pages, 1994 KB  
Review
Reinforcement Learning-Driven Autonomous Path Planning for Unmanned Surface Vehicles: Current Status, Challenges, and Future Prospects
by Zexu Dong, Jiashu Zheng, Chenxuan Guo, Fangming Zhao, Yijie Chu and Xiaojun Chen
Sensors 2026, 26(9), 2852; https://doi.org/10.3390/s26092852 - 2 May 2026
Viewed by 2344
Abstract
The continuous advancement of autonomy and intelligence in marine shipping has made the safe and efficient navigation of unmanned surface vehicles in complex waters a major research focus. As a key link of the autonomous decision-making system for unmanned surface vehicles (USVs), local [...] Read more.
The continuous advancement of autonomy and intelligence in marine shipping has made the safe and efficient navigation of unmanned surface vehicles in complex waters a major research focus. As a key link of the autonomous decision-making system for unmanned surface vehicles (USVs), local path planning needs to achieve real-time collision avoidance and motion optimization under dynamic obstacles, multiple rule constraints, and strong environmental uncertainty. In recent years, reinforcement learning has gradually become an important technical route for local path planning of USVs by virtue of its autonomous decision-making ability in high-dimensional continuous state space and adaptability to complex nonlinear problems. Combined with the evolution of the algorithm paradigm and its functional positioning in different water scenarios, this paper systematically reviews the relevant literature by examining the evolution of algorithmic paradigms; focuses on summarizing deep Q-network (DQN), Proximal Policy Optimization (PPO), Soft Actor-Critic (SAC), and Twin Delayed Deep Deterministic Policy Gradient (TD3), along with the collaborative architectures integrated with traditional planning methods such as A* and Rapidly-exploring Random Tree (RRT); and summarizes the performance characteristics, advantages, and limitations of various methods in typical scenarios. The review shows that the main bottlenecks of current research include insufficient reward mechanism design, low sample utilization efficiency, difficulty in transferring from simulation to real ships, and insufficient safety and trustworthiness verification. This paper looks forward to the future development trends from the two directions of data fusion and security enhancement in order to provide reference for related research. Full article
(This article belongs to the Special Issue Advances in Sensing, Control and Path Planning for Robotic Systems)
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30 pages, 4674 KB  
Article
Maneuverability Prediction of a Twin-Azimuth-Thruster Ship Using a CFD and MMG Coupled Model with Emphasis on Hydrodynamic Coupling Effects
by Guiyuan Pi, Ronghui Li, Fumi Wu and Tunbiao Wu
J. Mar. Sci. Eng. 2026, 14(9), 795; https://doi.org/10.3390/jmse14090795 - 27 Apr 2026
Cited by 1 | Viewed by 687
Abstract
Predicting the maneuverability of ships equipped with twin azimuth thrusters remains challenging due to their complex hydrodynamic interactions. This study develops an integrated framework that combines Computational Fluid Dynamics (CFD) with an enhanced Manoeuvring Mathematical Group (MMG) Model. Using the platform supply vessel [...] Read more.
Predicting the maneuverability of ships equipped with twin azimuth thrusters remains challenging due to their complex hydrodynamic interactions. This study develops an integrated framework that combines Computational Fluid Dynamics (CFD) with an enhanced Manoeuvring Mathematical Group (MMG) Model. Using the platform supply vessel Hai Yang Shi You 661 as a case study, all requisite hydrodynamic derivatives and propeller coefficients were efficiently obtained through CFD-based captive model tests, including oblique towing and Planar Motion Mechanism tests, conducted in STAR-CCM+ 2206. A core contribution of this work is the systematic evaluation of how hydrodynamic model fidelity affects prediction accuracy. Numerical turning circle simulations were executed with three models of increasing complexity: one with only linear derivatives, a second incorporating nonlinear higher-order terms, and a third, full model that additionally includes nonlinear velocity coupling terms. The results, rigorously validated against full-scale trial data, demonstrate that while the basic CFD-MMG approach is feasible, the inclusion of nonlinear coupling terms is critical for achieving accurate predictions in large-amplitude maneuvers. This enhancement reduced the maximum error in tactical diameter prediction from over 25% to approximately 11.8%. Consequently, this study provides a validated and cost-effective framework for maneuvering the prediction of azimuth-thruster vessels and offers clear, quantitative guidance on the necessary level of model complexity for practical engineering applications. Full article
(This article belongs to the Special Issue Ship Manoeuvring and Control)
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30 pages, 11623 KB  
Article
Research on Dynamic Reconstruction Methods for Key Local Responses of Structures Under Strong Shock Loads
by Renjie Huang, Dongyan Shi, Xuan Yao and Yongran Yin
J. Mar. Sci. Eng. 2026, 14(8), 698; https://doi.org/10.3390/jmse14080698 - 9 Apr 2026
Viewed by 466
Abstract
In response to the problem that sensors cannot be directly installed at key local positions on the surface of ship hull structures during the transient strong shock process of underwater explosions due to spatial constraints or large plastic deformations, this paper investigates the [...] Read more.
In response to the problem that sensors cannot be directly installed at key local positions on the surface of ship hull structures during the transient strong shock process of underwater explosions due to spatial constraints or large plastic deformations, this paper investigates the chaotic-like nonlinear transient behavior of structural dynamic response systems under strong shock and proposes a key position structural response reconstruction method based on dynamic inversion. Since the structural response under a transient strong shock exhibits significant non-stationarity and nonlinearity, signals from neighboring measurement points cannot directly characterize the dynamic behavior at key positions. Therefore, the shock response signals are discretized in both time and space dimensions. The phase space reconstruction method is employed to characterize the motion trajectory of acceleration responses in a two-dimensional phase space, establish mapping functions for system motion evolution, and use their control parameters to characterize the system’s nonlinear dynamic behavior. Furthermore, based on the spatiotemporal dynamic equations, a spatiotemporal coupled mapping model for spatial state points is established to achieve the theoretical inversion of acceleration responses at key positions. This method provides theoretical support for analyzing the dynamic characteristics of structures at key positions under strong shock environments, characterizing the shock environment, and assessing and designing equipment for shock safety. However, the current validation is based on high-fidelity numerical simulations rather than physical prototype tests; therefore, the predictive capability of this method in actual physical environments requires further validation through subsequent physical model tests. Full article
(This article belongs to the Special Issue Advanced Studies in Marine Structures)
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28 pages, 3863 KB  
Article
DeepSORT-OCR: Design and Application Research of a Maritime Ship Target Tracking Algorithm Incorporating Hull Number Features
by Jing Ma, Xihang Su, Kehui Xu, Hongliang Yin, Zhihong Xiao, Jiale Wang and Peng Liu
Mathematics 2026, 14(6), 1062; https://doi.org/10.3390/math14061062 - 20 Mar 2026
Viewed by 565
Abstract
Maritime ship target tracking plays an important role in applications such as maritime patrol and maritime surveillance. However, complex sea conditions, similar target appearances, and long-distance imaging often lead to target identity confusion and unstable trajectories. To address these issues, in this paper, [...] Read more.
Maritime ship target tracking plays an important role in applications such as maritime patrol and maritime surveillance. However, complex sea conditions, similar target appearances, and long-distance imaging often lead to target identity confusion and unstable trajectories. To address these issues, in this paper, a ship multi-object tracking algorithm, DeepSORT-OCR, that integrates hull number semantic features is proposed. Based on the YOLO detection framework and the DeepSORT tracking architecture, a CBAM-ResNet network is introduced to enhance the representation of ship appearance features. An Inner-SIoU metric is adopted to improve the geometric matching of slender ship targets, while an LSTM-Adaptive Kalman Filter is employed to model the nonlinear motion patterns of ships and improve trajectory prediction stability. In addition, a Hull Number Feature Extraction module is designed in order to recognize ship hull numbers using OCR and match them with a hull number database. The extracted hull number semantic features are dynamically fused with visual appearance features to strengthen identity constraints during target association. The experimental results show that the proposed method achieves an MOTA of 66.53% on the MOT16 dataset, representing an improvement of 5.13% over DeepSORT. On the self-constructed maritime ship dataset, the method achieves an MOTA of 70.89% and an MOTP of 80.84%. Furthermore, on the hull-number subset, the MOTA further increases to 77.18%, an improvement of 7.31% compared with DeepSORT, while the number of ID switches is significantly reduced. In addition, experiments conducted on pure real data, pure synthetic data, and cross-domain evaluation settings demonstrate the stability and strong generalization capability of the proposed algorithm under different data distributions. The proposed method effectively improves the stability and identity consistency of ship multi-object tracking in complex maritime environments. Full article
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23 pages, 5567 KB  
Article
Spatio-Temporal Interaction Modeling for USV Trajectory Prediction: Enhancing Navigational Efficiency and Sustainability
by Can Cui and Jinchao Xiao
Sustainability 2026, 18(6), 2773; https://doi.org/10.3390/su18062773 - 12 Mar 2026
Cited by 1 | Viewed by 652
Abstract
As the maritime industry transitions towards green shipping, operational sustainability and energy efficiency are increasingly crucial for long-endurance Unmanned Surface Vehicle (USV) missions. To this end, proactively adjusting driving strategies based on the prediction of other USVs’ motion is essential. This proactive approach [...] Read more.
As the maritime industry transitions towards green shipping, operational sustainability and energy efficiency are increasingly crucial for long-endurance Unmanned Surface Vehicle (USV) missions. To this end, proactively adjusting driving strategies based on the prediction of other USVs’ motion is essential. This proactive approach directly minimizes carbon emissions and reduces high-energy driving behaviors resulting from passive sudden braking or sharp turns in unexpected situations. However, existing trajectory prediction methods are trained based on low-frequency automatic identification system data of large merchant vessels, which cannot be directly used on the highly dynamic USV data. To address this limitation, this study constructs a large-scale simulated USV scenario dataset grounded in nonlinear ship hydrodynamics, which contains complicated interactive scenarios with multiple USV agents. To effectively model the interaction among agents for accurate prediction, we further propose USV-Former, a hierarchical encoder-decoder architecture designed for proactive navigation. The framework integrates a symmetric encoding structure with a dual-stage pipeline: a Local Attention Module captures high-frequency dynamics, while a Global Graph Attention Module enforces COLREGs-compliant topological constraints. Experimental results demonstrate that the proposed model outperforms established baselines in prediction accuracy. Qualitative analysis further reveals that by accurately anticipating target intentions, the model minimizes unnecessary avoidance maneuvers, enabling more stable and momentum-conserving velocity profiles. Ultimately, this architecture exhibits high computational efficiency, reduces operational energy waste, and provides a robust, measurable algorithmic foundation for green autonomous shipping and marine environmental protection. Full article
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27 pages, 12460 KB  
Article
Vertical Bending Moment in Extreme Regular Waves—Benchmarking of Numerical Codes Against Model Tests
by Ole Andreas Hermundstad, Guillaume de Hauteclocque, Sopheak Seng, Masayoshi Oka, Chong Ma, Benjamin Bouscasse, Roberto Vettor, Shan Wang, Ivan Sulovsky, Jasna Prpic-Orsic, Kei Sugimoto and Tormod R. Landet
J. Mar. Sci. Eng. 2026, 14(5), 481; https://doi.org/10.3390/jmse14050481 - 2 Mar 2026
Cited by 2 | Viewed by 854
Abstract
A benchmark study of 10 different numerical methods for ship motion and load assessment is presented. Pitch motions and midship vertical bending moments are compared to model test results for a containership at zero speed in head regular waves. The wave steepness is [...] Read more.
A benchmark study of 10 different numerical methods for ship motion and load assessment is presented. Pitch motions and midship vertical bending moments are compared to model test results for a containership at zero speed in head regular waves. The wave steepness is varied from 2.1% to 10.5%. The model tests show that pitch and the vertical bending moment (VBM) display nonlinear behavior even for low-steepness waves. It is demonstrated that computational fluid dynamics (CFD) methods can reproduce the ship responses with good accuracy, even in very steep waves, involving green water and parts of the ship going in and out of water. Weakly nonlinear potential-theory methods tend to overestimate the pitch motions and the sagging moments as the wave steepness increases. For the vertical bending moment in steep waves, the 3D panel methods did not give significantly better results than those obtained with the nonlinear strip theories. Full article
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32 pages, 107231 KB  
Article
Simulation and Experimental Study of Vessel-Borne Active Motion Compensated Gangway for Offshore Wind Operation and Maintenance
by Hongyan Mu, Ting Zhou, Binbin Li and Kun Liu
J. Mar. Sci. Eng. 2026, 14(2), 187; https://doi.org/10.3390/jmse14020187 - 16 Jan 2026
Cited by 3 | Viewed by 1582
Abstract
Driven by global initiatives to mitigate climate change, the offshore wind power industry is experiencing rapid growth. Personnel transfer between service operation vessels (SOVs) and offshore wind turbines under complex sea conditions remains a critical factor governing the safety and efficiency of operation [...] Read more.
Driven by global initiatives to mitigate climate change, the offshore wind power industry is experiencing rapid growth. Personnel transfer between service operation vessels (SOVs) and offshore wind turbines under complex sea conditions remains a critical factor governing the safety and efficiency of operation and maintenance (O&M) activities. This study establishes a fully coupled dynamic response and control simulation framework for an SOV equipped with an active motion-compensated gangway. A numerical model of the SOV is first developed using potential flow theory and frequency-domain multi-body hydrodynamics to predict realistic vessel motions, which serve as excitation inputs to a co-simulation environment (MATLAB/Simulink coupled with MSC Adams) representing the Stewart platform-based gangway. To address system nonlinearity and coupling, a composite control strategy integrating velocity and dynamic feedforward with three-loop PID feedback is proposed. Simulation results demonstrate that the composite strategy achieves an average disturbance isolation degree of 21.81 dB, significantly outperforming traditional PID control. Validation is conducted using a ship motion simulation platform and a combined wind–wave basin with a 1:10 scaled prototype. Experimental results confirm high compensation accuracy, with heave variation maintained within 1.6 cm and a relative error between simulation and experiment of approximately 18.2%. These findings demonstrate the framework’s capability to ensure safe personnel transfer by effectively isolating complex vessel motions and validate the reliability of the coupled dynamic model for offshore operational forecasting. Full article
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