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Asymmetric response analysis of large multi-body floating offshore platform in waves based on an improved CFD-FEA method 基于改进cfd -有限元法的大型多体海上浮式平台波浪响应非对称分析
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-13 DOI: 10.1016/j.marstruc.2025.103962
Nan Gu , Xueqian Zhou , Lei Li , Huilong Ren
The large multi-body floating offshore platform is a new type of offshore structure with a rectangular, long and flat shape. Traditional CFD-FEA methods, that use one backbone beam to simulate the stiffness of the whole floating offshore platform, is only applicable to symmetric response problems of floating offshore structure, specifically to vertical bending issues under head sea conditions, thus limiting its scope of application. In quartering seas, waves not only vary along the length of the offshore platform but also in the beam direction. The large multi-body floating offshore platform has a large breadth, resulting in a modest overall torsional stiffness. Under severe quartering sea conditions, the large multi-body floating offshore platform may undergo significant torsional deformation due to the substantial torsional moment induced by waves, presenting an asymmetric response problem. In the present paper, an improved CFD-FEA method based on backbone beam grid model composed of Timoshenko beams that can be used to simulate the vertical bending, horizontal bending, and longitudinal torsional motion of the offshore platform is developed for the analysis of asymmetric responses of large multi-body floating offshore platform. The hydrodynamic and structural response characteristics of the large multi-body floating offshore platform are studied experimental via a segmented model test, and also numerically using an improved CFD-FEA method. Comparisons of numerical results with experimental results show the validity of the proposed numerical simulation approach.
大型多体浮式海洋平台是一种矩形、长条形、扁平状的新型海洋结构体。传统的CFD-FEA方法是用一根主梁来模拟整个海上浮式平台的刚度,这种方法只适用于海上浮式结构的对称响应问题,特别是头海条件下的垂直弯曲问题,因而限制了其适用范围。在起锚海域,波浪不仅沿着海上平台的长度变化,而且沿着波束方向变化。大型多体浮式海上平台具有较大的宽度,整体抗扭刚度适中。在恶劣的海况下,大型多体浮式海上平台由于波浪引起的巨大扭转力矩,可能产生较大的扭转变形,呈现不对称响应问题。本文提出了一种改进的基于Timoshenko梁组成的主梁网格模型的cfd -有限元分析方法,该方法可模拟海洋平台的垂直弯曲、水平弯曲和纵向扭转运动,用于分析大型多体浮式海洋平台的非对称响应。通过分段模型试验和改进的CFD-FEA方法,对大型多体浮式海上平台的水动力和结构响应特性进行了实验研究。数值结果与实验结果的比较表明了所提出的数值模拟方法的有效性。
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引用次数: 0
Evaluating numerical simulation accuracy for full-scale high-strength steel ship structures: Insights from the ISSC 2025 Ultimate Strength Committee benchmark on transversely stiffened panels 评估全尺寸高强度钢船结构的数值模拟精度:来自ISSC 2025极限强度委员会对横向加筋板基准的见解
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-12 DOI: 10.1016/j.marstruc.2025.103966
Marco Gaiotti Ph.D. , Lars Brubak , Bai-Qiao Chen , Ionel Darie , Dimitris Georgiadis , Daisuke Shiomitsu , Mihkel Kõrgesaar , Yining Lv , Ken Nahshon , Marcelo Paredes , Jani Romanoff , Ingrid Schipperen , Akira Tatsumi , Murilo Vaz , Yikun Wang , Albert Zamarin , Zhihu Zhan , Jonas W. Ringsberg
The demand for sustainable ship design has driven the use of high-strength steel to reduce structural weight, although this introduces buckling challenges due to unchanged elastic properties. Supported by the ISSC 2025 Ultimate Strength Committee, this study evaluated the ability of numerical simulations to predict the nonlinear response and ultimate strength of stiffened panels subjected to transverse compression. The benchmark consisted of full-scale blinded experimental tests that were conducted in parallel using a deck-like structure with thin plating prone to elastic buckling. The finite element models produced by participating researchers were compared, focusing on the complete end-shortening curve rather than just ultimate strength. Despite identical input geometry and minimal modeling guidance, results varied widely, revealing the significant influence of user-defined assumptions. The inclusion of additional data on material properties in the second study phase led to greater result dispersion due to the different strategies adopted for the hardening model. Key variability sources included the modeling of initial imperfections, material constitutive laws, and residual stresses from welding. The study highlights the need for consistent modeling and improved experimental data collection, particularly regarding boundary conditions and residual stress effects. While including welding stresses improved stiffness predictions, uncertainty in boundary behavior limited the assessment of ultimate strength impacts. The study also evaluated compliance with classification society rules (e.g., CSR, DNV, UR-S35), offering insights into how nonlinear numerical analyses complement or challenge regulatory frameworks based on closed-form expressions. Recommendations are made for improving simulation reliability and result validation.
对可持续船舶设计的需求推动了高强度钢的使用,以减轻结构重量,尽管由于弹性性能不变,这会带来屈曲挑战。在ISSC 2025极限强度委员会的支持下,本研究评估了数值模拟预测加筋板在横向压缩下的非线性响应和极限强度的能力。基准测试包括全尺寸盲法实验测试,这些测试采用易发生弹性屈曲的薄镀层甲板状结构并行进行。对参与研究人员制作的有限元模型进行了比较,重点关注完整的末端缩短曲线,而不仅仅是极限强度。尽管相同的输入几何形状和最小的建模指导,结果差异很大,揭示了用户定义假设的重大影响。由于硬化模型采用了不同的策略,在第二阶段研究中包含了关于材料性能的额外数据,导致了更大的结果分散性。关键的变异性来源包括初始缺陷的建模、材料本构规律和焊接残余应力。该研究强调了一致性建模和改进实验数据收集的必要性,特别是关于边界条件和残余应力效应。虽然包括焊接应力改进了刚度预测,但边界行为的不确定性限制了最终强度影响的评估。该研究还评估了对船级社规则(例如,CSR, DNV, UR-S35)的遵从性,为非线性数值分析如何补充或挑战基于封闭形式表达式的监管框架提供了见解。提出了提高仿真可靠性和结果验证的建议。
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引用次数: 0
An extended incremental-iterative approach to evaluate the residual ultimate strength of ship hull girders with welding residual stress subjected to cumulative plastic damage 基于累积塑性损伤的焊接残余应力船体梁残余极限强度的扩展增量迭代法
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-10 DOI: 10.1016/j.marstruc.2025.103963
Dongyang Li , Zhen Chen
Ship structures are normally assembled by a large number of structural components using welding technology which causes inevitable welding residual stress (WRS). Over the life span of a ship, the hull girder may be subjected to potential extreme cyclic bending in rough sea conditions. Cumulative plastic damage (CPD) induced by the repeated load reversals, coupled with the inherent WRS, may lead to significant deterioration of the ultimate hull girder strength. The current paper proposes an extended incremental-iterative approach to efficiently assess the residual ultimate strength of ship hull girders under the coupling effect of these two factors as well as material hardening. The developed approach follows the theoretical framework of traditional Smith’s method but extends its capability. A practical expression is suggested to analytically reformulate the load-shortening curves of structural elements by means of machine learning (ML). Influence of stiffener type, geometric dimension, WRS, load amplitude and cycle is considered in the modified curves. Experimental data, Common Structural Rules (CSR) formulae and numerical results by parametric nonlinear finite element analysis (FEA) are used to validate the extended incremental-iterative approach. It is found that this approach can predict the ultimate strength of simplified and real hull girders under different curvature amplitudes, loading sequences and cycle numbers. In addition, characteristics of the cyclic collapse responses of stiffener elements and hull girders are reported to provide novel insights into ship structural design.
船舶结构通常是由大量结构构件采用焊接技术组装而成,焊接残余应力是不可避免的。在船舶的使用寿命期间,船体梁在恶劣的海况下可能遭受潜在的极端循环弯曲。反复荷载逆转引起的累积塑性损伤(CPD),加上固有的WRS,可能导致船体梁的极限强度显著下降。本文提出了一种扩展的增量迭代法,以有效地评估这两种因素耦合作用下船体梁的剩余极限强度以及材料硬化。该方法继承了传统的史密斯方法的理论框架,但扩展了其能力。提出了一种实用的表达式,可以用机器学习解析地重新表述结构构件的载荷缩短曲线。在修正曲线中考虑了加劲筋类型、几何尺寸、WRS、载荷幅值和周期的影响。利用实验数据、通用结构规则(CSR)公式和参数化非线性有限元分析(FEA)的数值结果验证了扩展增量迭代法的有效性。结果表明,该方法可以预测不同曲率幅值、加载顺序和周期数下简化船体梁和真实船体梁的极限强度。此外,还报道了加劲单元和船体梁的循环崩溃响应特征,为船舶结构设计提供了新的见解。
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引用次数: 0
Development of а unified theoretical model for ice load determination in ship - ice collisions considering ice crushing 考虑冰破碎的船冰碰撞冰载荷确定统一理论模型的建立
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-10 DOI: 10.1016/j.marstruc.2025.103965
Xinyan Yu , Bowen Zhao
Aiming to address the deficiencies of existing ship-ice collision theoretical models in characterizing ice failure mechanisms, construct complete impact processes, and unify ice load parameters, this paper establishes a unified theoretical model for ice load determination in ship-ice collisions considering ice crushing. A rigid body-ice layer interaction model is employed to describe the hull impact process, with oblique non-central asymmetric collisions simplified to central symmetric collisions through mass and velocity reduction coefficients, establishing momentum and angular momentum change equation sets. Combined with Reynolds equations describing viscoplastic fluid motion in the interlayer, an ice layer ultimate contact force coefficient is introduced to characterize the limiting effect of ice fracture on ice loads, constructing a unified calculation framework for contact pressure, line loads, resultant forces, and contact zone geometric parameters. Through structural strength curves and ice resistance strength surface concepts, the correlation between navigation condition parameters and structural design standards is established. Verification analysis using the “Lena” ice navigation vessel demonstrates that the model can effectively calculate ice load parameters under different ice thicknesses, navigation speeds, and structural design conditions, providing a theoretical foundation for bow structure design of various ice class transport vessels and achieving a unified calculation method for integrated ice load determination under multiple working conditions.
针对现有船冰碰撞理论模型在表征冰破坏机制、构建完整碰撞过程、统一冰载荷参数等方面的不足,建立了考虑冰破碎的船冰碰撞冰载荷确定的统一理论模型。采用刚体-冰层相互作用模型描述船体碰撞过程,通过质量和速度折减系数将斜向非中心非对称碰撞简化为中心对称碰撞,建立动量和角动量变化方程组。结合描述层间粘塑性流体运动的Reynolds方程,引入冰层极限接触力系数来表征冰断裂对冰载荷的限制作用,建立了统一的接触压力、线载荷、合力和接触区几何参数的计算框架。通过结构强度曲线和抗冰强度曲面概念,建立了航行工况参数与结构设计标准的相关性。以“莱拿号”冰船为例进行的验证分析表明,该模型能有效计算不同冰厚、航速和结构设计条件下的冰荷载参数,为各种冰级运输船船首结构设计提供理论依据,实现多种工况下综合确定冰荷载的统一计算方法。
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引用次数: 0
Theoretical and numerical studies on collapse of corroded subsea pipelines under combined external pressure and axial tension 外压与轴向张拉联合作用下腐蚀海底管道坍塌的理论与数值研究
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-06 DOI: 10.1016/j.marstruc.2025.103964
Libei Zhou , Shunfeng Gong , Lin Yuan , Junwei Ren , Xipeng Wang
During long-term service, offshore pipelines may simultaneously experience axial tension coupled with external pressure in the complex marine environment. Under these combined loadings, subsea pipes are prone to local collapse and even propagation, especially in the presence of corrosion. This paper deals with the collapse response of outer corroded pipes subjected to both axial tension and external pressure using theoretical and numerical methods, aiming to determine their ultimate load-bearing capacity. A theoretical model is developed for a preliminary assessment of collapse pressure. Then, a numerical framework, incorporating either longitudinally continuous rectangular defects or localized elliptical defects, is established, and its accuracy is validated against the theoretical results and available experimental data, respectively. With the verified numerical models, the collapse responses are investigated parametrically, including different geometric features, material properties, 3D defect sizes, and defect distribution. Finally, a set of optimized empirical expressions is proposed based upon the comprehensive finite element (FE) results to evaluate the ultimate pressure of pipelines with elliptical corrosion defects subjected to axial tension and external pressure.
在复杂的海洋环境中,海上管道在长期使用过程中可能会同时经历轴向张力和外压力的耦合作用。在这些组合载荷下,海底管道容易发生局部坍塌甚至扩展,特别是在存在腐蚀的情况下。本文采用理论和数值方法研究了外腐蚀管道在轴向拉力和外压力作用下的坍塌响应,以确定其极限承载能力。建立了一个理论模型,对崩塌压力进行了初步评估。然后,建立了纵向连续矩形缺陷和局部椭圆缺陷的数值框架,并分别与理论结果和现有实验数据进行了验证。利用验证的数值模型,研究了不同几何特征、材料特性、三维缺陷尺寸和缺陷分布等参数下的坍塌响应。最后,在综合有限元结果的基础上,提出了一套优化的经验表达式,用于评估椭圆腐蚀缺陷管道在轴向拉伸和外压作用下的极限压力。
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引用次数: 0
Isogeometric contact analysis in subsea umbilical and power cables 海底脐带电缆和电力电缆的等几何接触分析
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-06 DOI: 10.1016/j.marstruc.2025.103960
Tianjiao Dai , Shuo Yang , Xing Jin , Svein Sævik , Jiaxuan Zhang , Jun Wu , Naiquan Ye
Subsea umbilical and power cables contain a large number of contact interfaces between different geometries and materials. These complex interactions rise significant challenges for accurately considering contact surface properties by using traditional analytical solutions or finite element methods. These properties have been identified as the most sensitive parameters when performing the numerical simulation for stress analysis. Therefore, it is essential to apply a novel approach for contact analysis which improves the accuracy and efficiency for predicting contact properties. This paper presents an isogeometric analysis (IGA) approach addressing contact problems in dynamic umbilicals and power cables. Firstly, this isogeometric contact algorithm is formulated in MATLAB as a tool including the geometry description, contact detection and penalty function. Secondly, the contact interface between a steel tube and an outer sheath in an dynamic umbilical is established by this IGA contact algorithm and validated against that in ABAQUS for proving the accuracy and efficiency of IGA. Finally, the effects of element refinement, geometrical description, penalty factor on the accuracy, efficiency and stability of IGA are discussed.
海底脐带电缆和电力电缆包含大量不同几何形状和材料之间的接触界面。这些复杂的相互作用为使用传统的解析解或有限元方法准确考虑接触面特性提出了重大挑战。在进行应力分析数值模拟时,这些特性已被确定为最敏感的参数。因此,有必要采用一种新的接触分析方法来提高接触特性预测的准确性和效率。本文提出了一种解决动态脐带缆和电力电缆接触问题的等几何分析(IGA)方法。首先,在MATLAB中以几何描述、接触检测和罚函数为工具,阐述了该等几何接触算法。其次,利用IGA接触算法建立了动态脐带管内钢管与外护套的接触界面,并与ABAQUS中的接触算法进行了对比验证,验证了IGA接触算法的准确性和有效性。最后讨论了元素精化、几何描述、惩罚因子对IGA精度、效率和稳定性的影响。
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引用次数: 0
Influences of low velocity uniform current on characteristics of gap resonance occurring between two adjacent fixed bodies 低速均匀电流对相邻两固定体间隙共振特性的影响
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-11-04 DOI: 10.1016/j.marstruc.2025.103961
Junliang Gao , Yuntao Wu , Zhiwei Song , Ming He
Wave resonance phenomenon may occur in the narrow gap formed between adjacent marine structures, and the wave loads acting on the structures and the energy accumulated in the narrow gap may pose a huge threat to the safty operation of the structures. Via establishing a two-dimensional viscous wave-current flume based on the OpenFOAM® model, this article comprehensively investigates the influence of the direction and velocity of uniform current on the characteristics of gap resonance and the wave loads on the structures for a gap resonance system consisting of two fixed floating bodies. A wave analysis method based on the least squares principle is adopted to separate the incident and the reflected waves in the wave-current flume. The results show that both the following current and the opposing current increase the resonant frequency of the gap resonance. The opposing current increases the wave height amplification of the gap resonance system and the wave load on the structures, while the following current decreases them. In addition, the energy loss of the gap resonance system is slightly reduced by the following current, while the energy loss of the system is greatly increased by the opposing current.
相邻海洋构筑物之间形成的狭窄缝隙中可能会出现波浪共振现象,作用在构筑物上的波浪荷载和狭窄缝隙中积累的能量可能对构筑物的安全运行构成巨大威胁。本文通过建立基于OpenFOAM®模型的二维粘性波流水槽,全面研究了均匀电流的方向和流速对间隙共振特性的影响,以及由两个固定浮体组成的间隙共振系统中波浪荷载对结构的影响。采用基于最小二乘原理的波浪分析方法,分离了波流水槽内的入射波和反射波。结果表明,顺电流和反电流均增加了间隙谐振的谐振频率。反向电流增大了间隙谐振系统的波高放大和结构上的波载荷,而顺向电流减小了它们。另外,间隙共振系统的能量损失被后面的电流略微降低,而相反的电流则大大增加了系统的能量损失。
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引用次数: 0
Overlaid energy-on-force contour maps method for safe, efficient, and economic design of dual-elastic ship berthing dolphins 双弹性靠泊海豚安全、高效、经济设计的能量-力叠加等值线图方法
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-10-31 DOI: 10.1016/j.marstruc.2025.103958
Waldemar Magda
The paper explores safe, efficient, and economic design of ship berthing dolphins. Focus is on the real, dual-elastic performance of a modern marine modular rubber fender and a tubular steel-pile substructure of a berthing dolphin. Assuming the simultaneous absorption of a vessel’s berthing kinetic energy by two elastic components of the pile-fender berthing system, an explicit procedure is given for the selection of a steel-pile cross-section geometry in relation to a given size of the rubber fender unit. The procedure uses an easily applicable method of geometrically overlaid energy-on-force contour maps. The contour maps contain isolines of the minimum required potential energy of the berthing dolphin steel-pile substructure and the maximum reaction force of the marine rubber fender. Four example cases of the overlaid contour maps are presented and discussed practically. The application of the overlaid contour maps method assumes a full (100%) efficiency of the fender unit in energy absorption and fulfils a condition of geotechnical stability of the embedded steel-pile dolphin substructure. A practical application of the overlaid contour maps is illustrated by means of a worked example, assuming an oil tanker of 70,000 deadweight tonnes, realistic geometries of large-diameter berthing dolphin steel-piles, and a family of widely used Sumitomo modular rubber fenders. It is shown that the proposed method can serve as a convenient and simple design technique for the optimum selection of the required geometry of steel pile cross-section in relation to the size of the fender unit.
对船舶靠泊海豚的安全、高效、经济设计进行了探讨。重点是现代船用模块化橡胶护舷和停泊海豚的管状钢桩子结构的真实双弹性性能。假设桩-挡泥板靠泊系统的两个弹性构件同时吸收船舶的靠泊动能,给出了根据橡胶挡泥板单元的给定尺寸选择钢桩截面几何形状的明确程序。该程序使用了一种易于应用的几何叠加能量-力等高线图方法。等高线图包含了靠泊海豚钢桩下部结构所需的最小势能和船用橡胶护舷的最大反作用力的等高线。给出了四个叠加等高线图的实例,并进行了实际讨论。采用覆盖等高线图法,假定挡泥板单元的吸能效率为100%,满足钢桩内埋海豚式下部结构的岩土稳定性条件。通过一个工作实例说明了叠加等高线图的实际应用,假设一艘70,000载重吨的油轮,大直径停泊海豚钢桩的现实几何形状,以及广泛使用的Sumitomo模块化橡胶挡泥板系列。结果表明,该方法可作为一种方便、简便的设计方法,根据护舷单元的尺寸优化选择所需的钢桩截面几何形状。
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引用次数: 0
From motion to moments: conditioning analysis of floating offshore wind turbine tower bending 从运动到力矩:海上浮式风力机塔架弯曲的调理分析
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-10-30 DOI: 10.1016/j.marstruc.2025.103959
Guy McCauley, Hugh Wolgamot, Paul H. Taylor, Jana Orszaghova
The relationship between measured tower bending moments and motions of the TetraSpar Demonstrator floating offshore wind turbine is assessed using conditioning analysis techniques for an extreme storm event, and indicates that the motion to moment transfer function is linear, but dependent on turbine state and wind speed. Using measured motions and bending moments, a look-up table of linear transfer functions is generated for different turbine speed and wind speed bins. The look-up table is then used to predict tower bending moment from measured motions for a winter period, and the accuracy of the predictions is assessed. Finally, predicted stress from the linear transfer function method is used to calculate fatigue damage, which compares well to fatigue calculated using measured bending moments.
利用极端风暴事件的条件分析技术,评估了TetraSpar Demonstrator浮式海上风力发电机的实测塔弯矩与运动之间的关系,并表明运动-力矩传递函数是线性的,但依赖于涡轮机状态和风速。利用实测的运动和弯矩,生成了不同转速和风速箱的线性传递函数查找表。然后使用查找表从冬季的测量运动中预测塔的弯矩,并评估预测的准确性。最后,利用线性传递函数法预测应力计算疲劳损伤,结果与实测弯矩计算疲劳损伤结果吻合较好。
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引用次数: 0
Numerical investigation of the dynamic response characteristics of a submerged floating tunnel tube under wave and current loads 波浪和水流荷载作用下沉水浮管动力响应特性的数值研究
IF 5.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-10-27 DOI: 10.1016/j.marstruc.2025.103957
Wei Cheng , Yun Gao , Conghe Shi , Chen Shi
The dynamic response characteristics of a submerged floating tunnel (SFT) under pure wave loads, pure current loads, and combined wave-current loads were studied using the two-dimensional unsteady Reynolds-averaged Navier-Stokes equations and the shear stress transport k-ω model coupled with the fourth-order Runge-Kutta method. The hydrodynamic forces acting on the SFT, and its motion response characteristics, including vibration amplitude, displacement frequency, and vibration trajectory, were systematically analyzed and discussed. The numerical results showed that, for the design parameters of the SFT selected in this study, when only a wave load was considered, the vibration amplitude of the SFT tube increased as the wave height increased, however, it decreased as the wave period increased. The displacement frequency remained consistent with the wave frequency. When only a current load was considered, the motion response of the SFT tube in the sway direction displayed multi-frequency characteristics, with the dominant frequency in the sway direction being approximately twice that in the heave direction. When a combined wave-current load was considered, for a low current velocity, the displacement frequency response of the SFT body in the heave direction was dominated by the wave load, while for a high current velocity, it was dominated by the wave and current loads simultaneously. Furthermore, for a low current velocity, the coupling effect between the wave and current loads was slight. However, as the current velocity increased to 2.5 m s-1, the wave-current coupling effect became obviously pronounced and non-negligible.
采用二维非定常雷诺数-平均Navier-Stokes方程和四阶龙格-库塔方法耦合的剪切应力输运k-ω模型,研究了纯波浪荷载、纯电流荷载和波流复合荷载作用下沉浮隧道的动力响应特性。系统地分析和讨论了作用在SFT上的水动力力及其运动响应特性,包括振动幅值、位移频率和振动轨迹。数值结果表明,对于本研究选取的SFT设计参数,当仅考虑波浪荷载时,SFT管的振动幅值随波高的增加而增大,随波周期的增加而减小。位移频率与波浪频率保持一致。仅考虑电流载荷时,SFT管在摇摆方向的运动响应呈现多频特性,摇摆方向的主导频率约为升沉方向的两倍。考虑波流复合载荷时,当电流速度较低时,SFT体在升沉方向的位移频率响应以波浪载荷为主,而当电流速度较大时,SFT体在升沉方向的位移频率响应同时由波浪和电流载荷主导。此外,当电流速度较低时,波浪和电流负载之间的耦合效应较小。然而,当电流速度增加到2.5 m s-1时,波流耦合效应变得明显且不可忽略。
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引用次数: 0
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Marine Structures
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