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Advancing floating offshore wind turbine construction from the perspective of wet towing using a tugboat with autonomous control 采用自主控制拖船,从湿拖航角度推进海上浮式风力发电机组建设
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-06 DOI: 10.1016/j.marstruc.2025.103973
Yichang Tang , Mingsheng Chen , Zhiming Yuan , Xingyu Jiang , Ning Yu , Tingqiu Li , Yoo Sang Choo
The abundant offshore wind energy resources present extensive development opportunities for wind turbines, with the safety and reliability of transportation operations serving as essential prerequisites for ensuring their successful deployment and long-term operation. This research develops a constant parameter time-domain model (CPTDM) for the towing operation simulation of an IEA 15MW floating offshore wind turbine (FOWT) foundation in waves based on a state space model (SSM) for the first time and integrates the lumped mass method. To validate the accuracy and efficiency of CPTDM, three innovative towing simulation methods are proposed in the hydrodynamic analysis software AQWA. Through the viscous damping correction by the computational fluid dynamics (CFD) method, hydrodynamic coefficients correction, time-domain analyses of towing system motion responses and cable tensions under different wave environments, and encounter frequency verification, the consistency of the dynamics comparison verification results between CPTDM and AQWA in time-domain analyzes is over 90%, and the efficiency of CPTDM improved approximately 50%. Eventually, an optimal simulation method, a high-fidelity numerical model and a recommended towing speed range for a FOWT are presented in this study, aiming to provide valuable guidance for the actual towing construction of a FOWT.
丰富的海上风能资源为风力涡轮机提供了广泛的发展机会,而运输操作的安全性和可靠性是确保其成功部署和长期运行的必要先决条件。本文首次基于状态空间模型(SSM),结合集总质量法,建立了IEA 15MW浮式海上风力机(FOWT)地基在波浪中拖曳运行仿真的常参数时域模型(CPTDM)。为了验证CPTDM的准确性和有效性,在水动力分析软件AQWA中提出了三种创新的拖曳仿真方法。通过计算流体动力学(CFD)方法的粘滞阻尼修正、水动力系数修正、不同波浪环境下拖曳系统运动响应和索张力的时域分析以及遭遇频率验证,CPTDM与AQWA在时域分析中的动力学对比验证结果一致性超过90%,CPTDM的效率提高了约50%。最后,本文提出了一种优化的模拟方法、高保真的数值模型和推荐的拖曳速度范围,旨在为拖曳船的实际拖曳施工提供有价值的指导。
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引用次数: 0
Multilayer substructure integration calculation method for acoustic radiation of an underwater structure strictly coupled with a floating raft isolator system 严格耦合浮筏隔振系统水下结构声辐射的多层子结构积分计算方法
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-05 DOI: 10.1016/j.marstruc.2025.103985
Yi-Ni Yang , Hao Wang , Ming-Song Zou , Ye Liu
This paper presents an efficient method to predict the acoustic radiation of arbitrary underwater structures with a multilayer floating raft isolator system. It breaks through in realizing the strict coupling between the floating raft isolator system, the main hull, and the water. The main structure is separate from the floating raft isolator system and the lower vibration isolator. The fluid-structure coupling effect is considered in the sono-elasticity analysis between the main structure and the water. Modal superposition and simple source boundary integral methods are employed for analyzing fluid-solid coupling vibration and underwater acoustic radiation of the main structure. The floating raft isolator system is modeled as a finite element model and solved by the modal superposition method. By introducing the modal strain energy method, the calculation of the variable damping ratio of different structures can be realized. The multi-degree of freedom mass-stiffness spring system models the upper vibration isolator, whereas the four-terminal parameter method establishes a vibration transmission model of the lower vibration isolator. The coupling between the main structure, floating raft isolator system, and lower vibration isolator is achieved by introducing the virtual mode at the connection boundary. Then, the coupled dynamic equation for the entire underwater structure is obtained. The influence of different excitation directions and isolator parameters on vibration isolation effect is analyzed, which has certain guiding significance for the design of floating raft isolation system. When any component within the floating raft isolator system is modified, only the mass and stiffness matrices of the component need to be re-imported to re-calculate the overall vibration and acoustic response without remodeling the entire structure. This paper discusses the basic principles, computation formulas, and the findings of several numerical examples of the proposed method.
本文提出了一种利用多层浮筏隔振系统预测任意水下结构声辐射的有效方法。它的突破在于实现了浮筏隔振系统与主船体、水之间的严格耦合。主体结构分为浮筏隔振系统和下隔振系统。在主结构与水的声弹性分析中,考虑了流固耦合效应。采用模态叠加法和简单源边界积分法对主体结构的流固耦合振动和水声辐射进行了分析。将浮筏隔振系统建模为有限元模型,采用模态叠加法求解。通过引入模态应变能法,实现了不同结构变阻尼比的计算。多自由度质量-刚度弹簧系统建立了上部隔振器的模型,四端参数法建立了下部隔振器的振动传递模型。通过在连接边界处引入虚模态,实现了主结构、浮筏隔振系统和低振隔振器之间的耦合。然后,得到了整个水下结构的耦合动力方程。分析了不同激励方向和隔振器参数对隔振效果的影响,对浮筏隔振系统的设计具有一定的指导意义。当对浮筏隔振系统内的任何构件进行修改时,只需重新导入构件的质量矩阵和刚度矩阵,即可重新计算整体振动和声响应,无需对整个结构进行重构。本文讨论了该方法的基本原理、计算公式以及几个数值算例的结果。
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引用次数: 0
Dynamic response of large-scale offshore wind turbine considering spatiotemporal typhoon impact 考虑台风时空影响的大型海上风力机动力响应
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-02 DOI: 10.1016/j.marstruc.2025.103967
Hao Wang , Fa Li , Zhitong Lv , Shitang Ke , Bofeng Xu , Tongguang Wang
Typhoon-induced failures of large offshore wind turbines (LOWTs) remain prevalent, with the uncertainty of typhoon hazards being a central scientific debate. Critical knowledge gaps persist regarding spatiotemporal typhoon impact on LOWTs’ dynamic behavioral features. This study establishes a Typhoon-LOWT analysis framework to investigate typhoon-affected dynamic responses through validated numerical simulations of historically typhoon events, incorporating full-coupled aerodynamic-hydrodynamic-servo-structural modeling. Systematic comparisons were performed between: (i) temporal variations in dynamic responses of the same LOWT and (ii) spatial variations among multiple LOWTs under synchronized typhoon conditions. Key findings reveal that structural response variability (coefficients of variation COV = 0.99 for blade tip displacement, 1.09 for platform sway) substantially exceeds inflow variability (COV=0.59 for hub wind speed), demonstrating the invalidity of linear extrapolation for extreme typhoon condition design. Cross-flow dominance observed under EWA (Eyewall Area)/FES (Front Eyewall Stage)/BES (Back Eyewall Stage) conditions compromises structural safety through fundamentally distinct mechanisms: along-flow responses show inflow insensitivity, whereas cross-flow counterparts exhibit intensity-dependent energy redistribution. The positive feedback loops driven by aero-hydro-structural interaction are identified with fundamental implications for the mitigation of cross-flow vibration. This investigation deciphers differential structural performances among co-located LOWTs during the same typhoon events, identifying cross-flow vibration predominance as a critical safety imperative.
台风引起的大型海上风力涡轮机(LOWTs)故障仍然普遍存在,台风危害的不确定性是一个核心的科学辩论。关于台风对低低压动力行为特征的时空影响的关键知识差距仍然存在。本研究建立了台风-低低压分析框架,通过对历史台风事件的有效数值模拟,结合空气动力-水动力-伺服结构全耦合建模,研究台风影响的动力响应。系统比较了台风同步条件下同一低气压系统动力响应的时间变化和多个低气压系统的空间变化。主要研究结果表明,结构响应变异性(叶尖位移的变异系数COV= 0.99,平台摆动的变异系数COV= 1.09)大大超过流入变异性(轮毂风速的变异系数COV=0.59),证明了线性外推法在极端台风条件设计中的有效性。在EWA(眼壁区域)/FES(前眼壁阶段)/BES(后眼壁阶段)条件下观察到的横流优势通过根本不同的机制损害结构安全:沿流响应显示流入不敏感,而横流对应表现出强度依赖的能量再分配。确定了由气动-水-结构相互作用驱动的正反馈回路,这对减轻横流振动具有重要意义。这项研究揭示了在同一台风事件中,位于同一地点的低海拔交通枢纽的不同结构性能,确定了横向流动振动优势是一个关键的安全要求。
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引用次数: 0
Framework for the assessment of ship hull girder reliability and related sensitivity analysis considering accidental damage and ageing 考虑意外损伤和老化的船体梁可靠性评估框架及敏感性分析
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-02 DOI: 10.1016/j.marstruc.2025.103986
Krzysztof Woloszyk , Jakub Montewka , Floris Goerlandt , Bruno Sudret
The present study proposes a comprehensive framework for assessing the reliability of a ship hull girder and its sensitivity to key input variables, with particular consideration of accidental hull damage and age-related corrosion. To this end, the physics-based model used to compute the ultimate strength is substituted with a surrogate model based on Polynomial Chaos Expansion. The reliability problem is formulated by incorporating both still-water and wave-induced bending loads. The effects of various parameters, including vessel age (which is associated with corrosion progression), operational region, loading condition, and accidental damage, are systematically examined. The analysis reveals that ship size, operational region, and the specific damage scenario significantly influence the probability of hull failure, thereby highlighting the need for further investigation. The proposed framework offers potential application in risk-based ship design.
本研究提出了一个全面的框架来评估船体梁的可靠性及其对关键输入变量的敏感性,特别是考虑意外船体损伤和与年龄相关的腐蚀。为此,将计算极限强度的物理模型替换为基于多项式混沌展开的代理模型。可靠性问题是通过结合静水和波浪弯曲载荷来制定的。系统地检查了各种参数的影响,包括容器年龄(与腐蚀进展有关)、操作区域、加载条件和意外损坏。分析表明,船舶尺寸、作战区域和具体损伤情景对船体失效概率有显著影响,因此强调了进一步研究的必要性。提出的框架在基于风险的船舶设计中具有潜在的应用前景。
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引用次数: 0
Influence of ship manoeuvres on collision damage 船舶操纵对碰撞损伤的影响
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-29 DOI: 10.1016/j.marstruc.2025.103971
Šimun Sviličić, Smiljko Rudan, Ivan Ćatipović, Jerolim Andrić
Ship collisions, though infrequent, can result in severe consequences, including the loss of human life, ships, or cargo, as well as substantial environmental damage. This paper presents a comprehensive study of ship collision phenomena by analysing two key aspects: pre-collision manoeuvres under different rudder angles and comparative collision scenarios involving varying parameters such as impact angle and ship velocity. The study begins by examining various manoeuvres a ship can perform to minimise the risk of collision, taking into account positional and hydrodynamic factors. The second part of the study evaluates collision scenarios through a risk assessment framework, contrasting a high-risk collision scenario with a low-risk scenario, both modelled under the assumption of human error. Both analyses use rotational velocity and acceleration metrics derived from a three-degrees-of-freedom (3DOF) manoeuvrability model established in the first part. Simulations are conducted using LS-DYNA. The model incorporates hydrodynamic forces generated during the collision, as well as forces resulting from ship manoeuvring. The KVLCC2 serves as a case study, with its hydrodynamic properties - such as added mass and viscous damping, determined using Hydrostar software for integration into the Mitsubishi Collision Code (MCOL) boundary condition. The results indicate that large rudder angles (±40°) significantly reduce collision energy and penetration depth compared to no manoeuvre, while higher collision angles also mitigate structural deformation. The findings confirm that incorporating manoeuvrability into collision simulations improves predictive accuracy and provides valuable insight for assessing ship safety and collision prevention strategies.
船舶碰撞虽然不经常发生,但可造成严重后果,包括人员、船舶或货物的损失,以及严重的环境破坏。本文对船舶碰撞现象进行了全面的研究,分析了两个关键方面:不同舵角下的碰撞前操纵和不同参数(如冲击角和航速)下的比较碰撞情景。这项研究首先考察了船舶在考虑位置和水动力因素的情况下,可以采取的各种措施,以尽量减少碰撞的风险。研究的第二部分通过风险评估框架评估碰撞场景,将高风险碰撞场景与低风险场景进行对比,两者都是在人为错误假设下建模的。这两种分析都使用了从第一部分建立的三自由度(3DOF)机动性模型中导出的转速和加速度指标。利用LS-DYNA进行了仿真。该模型结合了碰撞过程中产生的水动力,以及船舶操纵产生的力。KVLCC2以其流体动力学特性为例,例如增加质量和粘性阻尼,使用Hydrostar软件确定,并将其集成到三菱碰撞代码(MCOL)边界条件中。结果表明,与无操纵相比,大舵角(±40°)可显著降低碰撞能量和穿透深度,同时更大的碰撞角也能减轻结构变形。研究结果证实,将机动性纳入碰撞模拟可以提高预测准确性,并为评估船舶安全和碰撞预防策略提供有价值的见解。
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引用次数: 0
A numerical study on flow-induced vibration of a buoy-mooring system 浮筒系泊系统流激振动的数值研究
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-26 DOI: 10.1016/j.marstruc.2025.103975
Hanxu Zheng , Mingda Li , Jiasong Wang , Sai Zeng , Dongying Wang , Xiaoyang Hu
This study numerically investigates the Flow-Induced-Vibration (FIV) of a Buoy-Mooring System (BMS), with a particular emphasis on the hydrodynamic coupling between the mooring cable’s vortex-induced vibration (VIV) and the buoy’s vortex-induced motion (VIM). Simulations are conducted across a range of controlled inflow velocities to systematically analyze the time–frequency characteristics of the FIV responses, associated energy transfer mechanisms, and vortex formation patterns. Supplementary two-dimensional (2D) simulations are employed to validate key findings from the three-dimensional (3D) simulations. The system dynamics become VIM-dominant when the buoy undergoes significant oscillatory motion, leading to synchronized, low-frequency, large-amplitude displacements in both structural components. The substantial oscillation amplitude induced by the buoy’s VIM causes the cable to experience cross-flow CF oscillation flow, which in turn generates in-line (IL) vibration components at distinct frequencies. The high-frequency IL vibration component originates from the periodic shedding or sliding of vortex pairs attached to the cable, while a low-frequency IL component emerges exclusively under high-frequency CF oscillations, facilitated by enhanced vortex detachment and shortened CF oscillation cycles. Notably, a higher incoming flow velocity promote downstream advection of shed vortices and attenuates the low-frequency IL vibration component.
本文对浮筒-系泊系统(BMS)的流激振动(FIV)进行了数值研究,重点研究了系泊索涡激振动(VIV)与浮筒涡激运动(VIM)之间的水动力耦合。在控制的流入速度范围内进行了模拟,系统地分析了FIV响应的时频特性、相关的能量传递机制和涡流形成模式。补充的二维(2D)模拟用于验证三维(3D)模拟的关键发现。当浮标发生显著的振荡运动时,系统动力学成为vim主导,导致两个结构部件同步、低频、大幅度位移。浮标的VIM引起的大量振荡幅值使电缆经历了横流CF振荡流,从而产生了不同频率的在线(IL)振动分量。高频IL振动分量来源于附着在电缆上的涡流对的周期性脱落或滑动,而低频IL分量只出现在高频CF振荡中,这是由于涡流分离增强和CF振荡周期缩短所促成的。值得注意的是,较高的来流速度促进了脱落涡的下游平流,并减弱了低频IL振动分量。
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引用次数: 0
Structural damage identification by finite element model updating using transmissibility functions data: Numerical and experimental study 利用传递函数数据更新有限元模型的结构损伤识别:数值与实验研究
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-24 DOI: 10.1016/j.marstruc.2025.103968
Shahriar Baybordi, Akbar Esfandiari, Ahmad Izadi
A significant challenge in structural damage detection and finite element model (FEM) updating, particularly for large structures, is the difficulty of structural excitation and response measurement. However, the structures can be excited in some manner such as dropped weight while the force measurement is not possible. This study introduces a novel transmissibility function-based approach for structural FEM updating. Compared to other frequency response-based techniques, this method generates more data and equations. The proposed sensitivity relation, operating at an exact sensitivity level, improves equation accuracy by directly integrating measured data into the sensitivity matrix relations. The efficiency of this proposed approach is validated through numerical simulations of three-dimensional jacket platform and plate models considering measurement and modeling uncertainties. The results demonstrate the method's high accuracy in identifying damage locations and severities. Additionally, the method's abilities are assessed through experimental investigations on a ship hull and a 2D frame. The model updating results by the proposed method proves its capability for structural FEM updating and damage detection.
结构损伤检测和有限元模型更新的一个重要挑战是结构激励和响应测量的困难,特别是对于大型结构。然而,在无法测量力的情况下,结构可以以某种方式(如重物掉落)被激发。提出了一种基于传递函数的结构有限元更新方法。与其他基于频率响应的方法相比,该方法产生更多的数据和方程。所提出的灵敏度关系在精确的灵敏度水平上运行,通过将测量数据直接集成到灵敏度矩阵关系中,提高了方程的精度。通过考虑测量和建模不确定性的三维夹套平台和板模型的数值模拟,验证了该方法的有效性。结果表明,该方法具有较高的损伤位置和损伤程度识别精度。此外,通过船体和二维框架的实验研究,对该方法的能力进行了评估。模型更新结果表明,该方法具有较好的结构有限元更新和损伤检测能力。
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引用次数: 0
A novel dual jack-up installation platforms synchronized construction method for sinking tube of submerged floating tunnel 沉浮隧道沉管双自升式安装平台同步施工新方法
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-20 DOI: 10.1016/j.marstruc.2025.103974
Fang Wang , Jing Li , Jianyun Chen , Qiang Xu
Research on submerged floating tunnels has primarily focused on conceptual analysis, with comparatively limited advances in installation techniques and construction control. This study proposes an innovative construction concept for sinking tube of submerged floating tunnel. The core technology lies in a synchronized operation system utilizing dual jack-up installation platforms. First, a novel jack-up installation platform was designed. Key components such as the platform hull, truss-type pile legs, and rack-and-pinion jacking systems were detailed. Second, critical steps and construction procedures for applying this method to sinking tube were systematically outlined. Finally, a multi-body dynamic response simulation was conducted to analyze the sinking tube operation. The effects of wave and current loads on the motion response of the sinking tube and platforms, as well as mooring line tensions, were discussed. The results indicate that the proposed method offers significant operational advantages, exhibiting robust performance even under extreme wave conditions. This approach effectively extends the available construction time window for sinking operations of submerged floating tunnels.
沉浮隧道的研究主要集中在概念分析上,在安装技术和施工控制方面的进展相对有限。本研究提出了一种创新的沉管施工理念。核心技术在于采用双自升式安装平台的同步作业系统。首先,设计了一种新型自升式安装平台。详细介绍了平台船体、桁架式桩腿和齿条-齿轮顶升系统等关键部件。其次,系统地概述了将该方法应用于沉管的关键步骤和施工程序。最后进行了多体动力响应仿真,分析了沉管运行过程。讨论了波浪和电流载荷对沉管和平台的运动响应以及系缆张力的影响。结果表明,该方法具有显著的操作优势,即使在极端波浪条件下也具有鲁棒性。该方法有效地延长了沉浮隧道沉陷作业的施工时间窗口。
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引用次数: 0
Deep learning-based damage localization method for strain analysis of jacket offshore platform structures 基于深度学习的海洋平台导管架结构应变分析损伤定位方法
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-20 DOI: 10.1016/j.marstruc.2025.103972
Shufeng Feng, Lei Song, Zhuoyi Yang, Tengfei Sun, Kai Wu, Peng Liu, Qilong Wu, Jiarui Huang
Jacket offshore platforms operate in complex marine environments for extended periods, making them susceptible to damage such as cracks and corrosion, which pose serious threats to structural safety. Therefore, research on their structural health monitoring is of great significance. To investigate the effectiveness of deep learning models in damage identification for jacket offshore platforms, this study designed multiple small-scale experimental conditions involving cracks and corrosion on three-pile and four-pile jacket structures. Strain signal data were collected under various damage scenarios. The damage identification performance of convolutional neural networks (CNN), long short-term memory networks (LSTM), and their hybrid model (CNN-LSTM) was evaluated, and the noise resistance of each algorithm was further assessed. The experimental results demonstrate that the CNN model exhibits high accuracy and stability in identifying both crack and corrosion damages, with additional advantages of computational efficiency, structural simplicity, and robustness against noise interference. These findings provide theoretical foundations and methodological support for the structural health monitoring of jacket offshore platforms and show great potential for engineering applications.
导管架海上平台在复杂的海洋环境中长时间运行,容易受到裂缝和腐蚀等损害,对结构安全构成严重威胁。因此,对其结构健康监测的研究具有重要意义。为了研究深度学习模型在导管架海上平台损伤识别中的有效性,本研究设计了涉及三桩和四桩导管架结构裂缝和腐蚀的多个小尺度实验条件。采集了不同损伤情况下的应变信号数据。评估了卷积神经网络(CNN)、长短期记忆网络(LSTM)及其混合模型(CNN-LSTM)的损伤识别性能,并进一步评估了每种算法的抗噪声性能。实验结果表明,CNN模型在识别裂纹和腐蚀损伤方面具有较高的准确性和稳定性,并且具有计算效率高、结构简单、抗噪声干扰能力强等优点。这些研究结果为海上平台导管架结构健康监测提供了理论基础和方法支持,具有很大的工程应用潜力。
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引用次数: 0
Study on the axial load recovery characteristics of damaged tensile armour layers in flexible marine cables 船用柔性电缆受损抗拉护层轴向载荷恢复特性研究
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-19 DOI: 10.1016/j.marstruc.2025.103969
Qingzhen Lu , Weining Wu , Yuanchao Yin , Yunxin Xie , Bin Feng , Jun Yan , Hailong Lu
In flexible marine cables, the axial load-bearing capacity of a damaged tensile armour layer tends to recover gradually along its axial length. The aim of this study is to determine the specific impact of tensile armour layer damage on axial load capacity, to analyse the axial mechanical behaviour of both intact and damaged tensile armour layers, and to obtain the recovery length after damage. A typical single-layer helically wound structure is selected as the research object, and a fully three-dimensional refined finite element model is established to simulate local damage and interlayer friction. Additionally, optical frequency domain reflectometry (OFDR) experimental analysis is employed to continuously observe the strain responses before and after damage, verifying the applicability of the finite element model and determining the load recovery length of the tensile armour layer under prefabricated damage conditions. Furthermore, key parameters affecting interlayer friction, including the friction coefficient, external pressure, and helical winding angle, are analysed. The results indicate that as the friction coefficient increases from 0.1 to 0.4, the external pressure increases from 0.25 MPa to 0.75 MPa, and the winding angle increases from 10° to 30°, the load recovery length decreases by 53.0 %, 43.9 %, and 44.3 %, respectively. This study provides scientific support for the operational maintenance of damaged tensile armour layers in flexible cables.
在船用柔性电缆中,受损抗拉护层的轴向承载能力沿其轴向长度逐渐恢复。本研究的目的是确定拉伸装甲层损伤对轴向承载能力的具体影响,分析完整和受损拉伸装甲层的轴向力学行为,并获得损伤后的恢复长度。选取典型单层螺旋缠绕结构作为研究对象,建立全三维精细有限元模型,模拟局部损伤和层间摩擦。采用光学频域反射(OFDR)实验分析,连续观察损伤前后的应变响应,验证有限元模型的适用性,确定预制损伤条件下拉伸装甲层的载荷恢复长度。分析了影响层间摩擦的关键参数,包括摩擦系数、外压力和螺旋缠绕角。结果表明:当摩擦系数从0.1增加到0.4,外压力从0.25 MPa增加到0.75 MPa,缠绕角从10°增加到30°时,载荷恢复长度分别减少53.0%、43.9%和44.3%;该研究为柔性电缆受损抗拉护层的运行维护提供了科学依据。
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引用次数: 0
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