Marine Structures最新文献_第4页

Effect of members and local joints flexibilities on the dynamic and fatigue response of semi-submersible platforms for floating offshore wind turbines 构件和局部节点柔性对海上浮式风力机半潜式平台动力和疲劳响应的影响

IF 5.1 2区工程技术 Q1 ENGINEERING, CIVIL

Marine Structures

Pub Date : 2025-12-23 DOI: 10.1016/j.marstruc.2025.103993

Osunna Paul Dike, Vahid Vaziri, Marcin Kapitaniak

This study investigates the effects of member and local joint flexibilities on the response of a semi-submersible floating offshore wind turbine (FOWT) by carrying out fully coupled nonlinear time-domain aero-hydro-servo-elastic dynamic analysis of the OC4 floater. Rigid body models and flexible models of the OC4 semi-submersible floater, supporting the NREL 5MW wind turbine, are used to perform this study. A total of four unique models of the FOWT system were developed and these include a model with a rigid body floater (M1), a flexible floater with each OC4 column modelled as separate rigid bodies connected by flexible braces (M2), and a flexible floater with local joint flexibilities explicitly introduced at inter-member connections to capture joint-level deformation (M3). The fourth is a parametric sensitivity model, derived from the previous one, where the rotational stiffnesses of the floater joints are systematically increased to assess their influence on the system dynamics as validation for M2. Decay tests were first carried out on all 4 models, to ascertain their characteristic modal behaviour, then fully coupled dynamic simulations were carried out for all the models. Analysis was performed for cases of regular wave only, random wave only, regular wave plus steady-state wind, and random wave plus turbulent wind. The global and local response of the FOWT system is then investigated. Results show that floater flexibility modifies the platform pitch natural period by about 10%. The surge and heave natural periods are, however, minimally affected. Platform flexibility also significantly affects the local response of floater braces (pontoons), the tower base loads and tower top kinematics, with implications for both design optimisation and performance forecasting in next-generation FOWT systems. Fatigue analysis of the tower base and selected brace connections reveal that fatigue damage is overpredicted at the tower base when the platform is modelled as a rigid floater, leading to a conservative (underestimated) fatigue life by approximately 50%, while fatigue damage is substantially underpredicted up to about 80% in the pontoon braces when the platform is modelled as rigid.

通过对半潜式浮式海上风力机OC4浮子进行全耦合非线性时域气动-液-伺服-弹性动力学分析，研究了构件和局部关节柔性对浮式海上风力机响应的影响。采用支撑NREL 5MW风机的OC4半潜式浮子的刚体模型和柔性模型进行研究。总共开发了四种独特的FOWT系统模型，其中包括一个具有刚体浮子（M1）的模型，一个将每个OC4柱建模为通过柔性支撑连接的独立刚体的柔性浮子（M2），以及一个在构件间连接处明确引入局部关节灵活性以捕获关节级变形的柔性浮子（M3）。第四种是参数敏感性模型，由前一种模型衍生而来，其中系统地增加浮动关节的旋转刚度，以评估其对系统动力学的影响，作为M2的验证。首先对所有4种模型进行衰减试验，以确定其特征模态行为，然后对所有模型进行全耦合动态模拟。分别对规则波、随机波、规则波加稳态风、随机波加湍流风进行了分析。然后研究了fot系统的全局和局部响应。结果表明，浮子柔性对平台螺距自然周期的影响约为10%。然而，波浪和波浪自然周期受到的影响最小。平台的灵活性也会显著影响浮子支撑（浮桥）的局部响应、塔架基础载荷和塔顶运动学，这对下一代FOWT系统的设计优化和性能预测都有影响。对塔底和选定支撑连接的疲劳分析表明，当平台被建模为刚性浮子时，塔底的疲劳损伤被高估了，导致保守的（低估的）疲劳寿命约为50%，而当平台被建模为刚性浮子时，浮筒支撑的疲劳损伤被严重低估了约80%。

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引用次数: 0

Hydroelastic response of a floating flexible platform under oblique wave-current interaction 斜波流作用下浮动柔性平台的水弹性响应

IF 5.1 2区工程技术 Q1 ENGINEERING, CIVIL

Marine Structures

Pub Date : 2025-12-18 DOI: 10.1016/j.marstruc.2025.103990

P. Amouzadrad, S.C. Mohapatra, C. Guedes Soares

An analytical model of oblique wave-current interaction with a moored, floating, flexible structure is developed based on the Timoshenko-Mindlin beam theory, assuming small-amplitude wave theory and small structural response. Theoretical solutions for the hydrodynamic coefficients, reflection and transmission coefficients, and structural displacements are calculated by applying the matching technique in conjunction with the orthogonal mode-coupling relation. The analytical results for structural displacements are compared with independent numerical simulations using a BEM code and with experimental data sets available in the open literature. Furthermore, the hydroelastic response for different design parameters, as well as structural displacements, shear force, bending moment, and hydrodynamic coefficients, is analysed using analytical solutions. Meanwhile, contour plots of the transmission wave amplitudes around the structure are generated using numerical methods. The comparison results show that both the numerical model results and the experimental data sets support the present model's findings. This analysis may be helpful in providing a better understanding of the parameters for designing a floating flexible platform in the marine environment.

基于Timoshenko-Mindlin梁理论，在假设小振幅波理论和小结构响应的前提下，建立了斜波流与系泊浮动柔性结构相互作用的解析模型。结合正交模态耦合关系，应用匹配技术计算了水动力系数、反射和透射系数以及结构位移的理论解。结构位移的分析结果与使用边界元代码的独立数值模拟和公开文献中的实验数据集进行了比较。此外，利用解析解分析了不同设计参数以及结构位移、剪力、弯矩和水动力系数下的水弹性响应。同时，利用数值方法生成了结构周围透射波幅值的等值线图。对比结果表明，数值模型的结果和实验数据集都支持本文模型的结论。这种分析可能有助于更好地理解海洋环境中浮动柔性平台的设计参数。

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引用次数: 0

Hydrodynamic coefficients for an oscillating prototype riser with surface roughness ratio of 1 × 10−5 表面粗糙度比为1 × 10−5的振动立管原型水动力系数

IF 5.1 2区工程技术 Q1 ENGINEERING, CIVIL

Marine Structures

Pub Date : 2025-12-17 DOI: 10.1016/j.marstruc.2025.103991

Haojie Ren , Shixiao Fu , Mengmeng Zhang , Hao Ren

Vortex-induced vibration (VIV) is a critical factor contributing to the fatigue damage of marine risers, and accurately predicting it is crucial in engineering applications. However, no experimental research has comprehensively studied the influence of the Reynolds number (Re) on the hydrodynamic behavior of oscillating rigid cylinders. In this study, a specialized experimental apparatus is designed and fabricated to conduct forced oscillation tests on the prototype riser model with a roughness ratio of approximately 1 × 10⁻⁵. The Re in these systematic experimental investigations ranges from subcritical to critical regions. Subsequently, we identified and studied the hydrodynamic coefficients of the oscillating rigid cylinder under controlled motions. The experimental results confirmed that the hydrodynamic coefficients derived from experiments at lower Re are inapplicable to prototype risers for empirical VIV prediction theories. By examining the isosurface of the excitation coefficients equal to zero, the potential maximum VIV amplitudes were predicted to reach an unexpected value of 2.5 times the diameter of the cylinder, which is approximately 200 % greater than the conventional values observed at low Re. Furthermore, the slight roughness at a high Re was found to affect the VIV behavior, warranting further investigation in future studies. The findings observed in the present work will serve as important references for predicting hydrodynamic forces and VIV responses of marine risers.

涡激振动是引起海洋隔水管疲劳损伤的重要因素，对其进行准确预测在工程应用中具有重要意义。然而，目前还没有实验研究全面地研究了雷诺数（Re）对振荡刚性圆柱流体动力性能的影响。在本研究中，设计并制作了专门的实验装置，对粗糙度比约为1 × 10−5的原型立管模型进行了强迫振荡试验。在这些系统的实验研究中，Re的范围从亚临界到临界。随后，我们确定并研究了受控运动下振荡刚性圆柱的水动力系数。实验结果证实，低Re下实验得到的水动力系数不适用于经验VIV预测理论的原型立管。通过检查激励系数为零的等值面，预测了潜在的最大涡激振动幅值达到了意想不到的2.5倍圆柱体直径，这比低Re下观察到的常规值大约大200%。此外，高Re下的轻微粗糙度也会影响涡激振动行为，这需要在未来的研究中进一步研究。研究结果将为预测海洋隔水管的水动力和涡激振动响应提供重要参考。

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引用次数: 0

Advancing insights into the structural load effects in a semi-submersible floating wind turbine tower considering sum-frequency wave excitation 考虑和频波激励的半潜式浮式风力发电塔结构荷载效应研究进展

IF 5.1 2区工程技术 Q1 ENGINEERING, CIVIL

Marine Structures

Pub Date : 2025-12-16 DOI: 10.1016/j.marstruc.2025.103992

Haozhe Bai , Shuaishuai Wang , Torgeir Moan , Shuijin Li , Kun Xu , Min Zhang , Huajun Li

There is a lack of a fundamental understanding of the wave-induced high-frequency (WIHF) dynamic responses in semi-submersible floating wind turbines (FWTs). However, experiments carried out by the Ocean University of China show that sum-frequency wave load effects might have a significant contribution to the extreme loads in the semi-submersible FWT tower. This paper primarily addresses the WIHF dynamic responses under combined wind and wave environmental conditions that may induce extreme tower structural loads relevant for the ultimate limit state (ULS) design check. Ten typical combined wind and wave conditions are determined using the environmental contour method and considerations wind-wave scenario that cause critical tower response. The sectional structural loads of the DTU-10-MW wind turbine mounted on a semi-submersible platform are obtained by a fully coupled time domain dynamic analysis. Two numerical models—a linear (LHM) and a nonlinear hydrodynamic model (NHM)—are developed for analysis. The NHM includes second-order sum-frequency wave excitation and is validated against experiments. Tower structural loads are examined using both models, and the most critical condition is selected for ULS assessment of the tower’s critical section. The study shows that the LHM significantly underestimates high-frequency responses and extreme tower loads, particularly for moderate sea states with wave periods near twice the tower’s first-order bending natural period, as well as for critical ULS conditions (extreme conditions). This highlights the importance of considering sum-frequency wave load effects, and accurately modeling the tower’s natural frequency and structural damping for reliable structural design of semi-submersible FWTs.

对于半潜式浮式风力涡轮机（FWTs）的波浪诱导高频（WIHF）动态响应缺乏基本的理解。然而，中国海洋大学的实验表明，和频波载荷效应可能对半潜式FWT塔的极端载荷有重要贡献。本文主要研究风浪联合环境条件下的WIHF动力响应，这些环境条件可能引起与极限极限状态（ULS）设计校核相关的极端塔结构荷载。采用环境等高线法确定了10种典型的风浪组合条件，并考虑了引起塔临界响应的风浪情景。采用全耦合时域动力分析方法，得到了安装在半潜式平台上的dtu - 10mw风力发电机组的截面结构荷载。本文建立了线性水动力模型和非线性水动力模型两种数值模型进行分析。该方法包含二阶和频波激励，并通过实验验证。采用这两种模型对塔的结构荷载进行了检验，并选择了最关键的条件对塔的临界截面进行了ULS评估。研究表明，LHM显著低估了高频响应和极端塔荷载，特别是对于波浪周期接近塔一阶弯曲自然周期两倍的中等海况，以及临界ULS条件（极端条件）。这突出了考虑和频波荷载效应，准确模拟塔的固有频率和结构阻尼对于可靠的半潜式fwt结构设计的重要性。

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引用次数: 0

Low-velocity impact responses of welded aluminum alloy structures: experiment and simulation 焊接铝合金结构的低速冲击响应：实验与仿真

IF 5.1 2区工程技术 Q1 ENGINEERING, CIVIL

Marine Structures

Pub Date : 2025-12-15 DOI: 10.1016/j.marstruc.2025.103989

Yue Lu, Shuai Zong, Kun Liu, Zili Wang

This study experimentally and numerically investigates the dynamic responses of AA6061-T6 aluminum alloy structures with different welding configurations under impact loading. Material tests are conducted to obtain mechanical properties of welding-affected regions, and detailed numerical inputs incorporating dynamic parameters are provided. Three different specimens are designed based on a 42 m aluminum passenger catamaran, and the impact responses of unwelded and welded aluminum structures are compared and analyzed. Finite element simulations of the impact tests are performed, and constitutive models with strain rate and thermal softening effects are developed. By comparison of the experimental and numerical results, numerical techniques developed in the present study are validated, and the influence of weld configuration on damage characteristics and energy absorption is revealed. Finally, the evolution of strain rate and temperature in failed elements is examined under varying impact energy levels to further elucidate the dynamic characteristics of welded aluminum plates under impact loads.

对不同焊接形式的AA6061-T6铝合金结构在冲击载荷作用下的动态响应进行了实验和数值研究。进行了材料试验，获得了焊接影响区的力学性能，并提供了包含动态参数的详细数值输入。以一艘42 m铝制双体客轮为例，设计了3种不同的试件，对未焊接和焊接铝制结构的冲击响应进行了对比分析。对冲击试验进行了有限元模拟，建立了考虑应变速率和热软化效应的本构模型。通过实验结果与数值结果的对比，验证了本文研究的数值方法，揭示了焊缝形态对损伤特性和能量吸收的影响。最后，研究了不同冲击能级下失效构件应变速率和温度的演化规律，进一步阐明了焊接铝板在冲击载荷作用下的动态特性。

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引用次数: 0

Shipbuilding workshop and storage yard scheduling: A literature review 造船车间与堆场调度：文献回顾

IF 5.1 2区工程技术 Q1 ENGINEERING, CIVIL

Marine Structures

Pub Date : 2025-12-12 DOI: 10.1016/j.marstruc.2025.103988

Xuwen Jing, Chen Cheng, Jinfeng Liu, Shuting Yue, Su Li, Yu Chen, Yuhang Zuo, Pengcheng Qi

The evolution of shipbuilding industry towards intelligent and digital processes requires highly efficient and environmentally friendly scheduling in ship construction. This review examines algorithm applications in Shipbuilding Scheduling optimization, highlighting limitations of traditional methods and exploring two primary scenarios: workshop and storage yard. It highlights the potential of Industry 4.0 technologies (machine learning, IoT and big data) for scheduling optimization in shipyards. Future research on shipbuilding scheduling will focus on interdisciplinary integration, big data, and scalable artificial intelligence scheduling systems to solve the scheduling problems of complex processes in the sustainable shipbuilding ecosystem.

船舶工业向智能化、数字化的发展要求高效、环保的船舶建造调度。本文综述了算法在船舶调度优化中的应用，突出了传统方法的局限性，并探讨了两个主要场景：车间和堆场。它强调了工业4.0技术（机器学习，物联网和大数据）在造船厂调度优化方面的潜力。未来造船调度的研究将集中在跨学科融合、大数据和可扩展的人工智能调度系统上，以解决可持续造船生态系统中复杂过程的调度问题。

引用次数: 0

Novel foundation system for high capacity wind turbine: Experimental and numerical study 新型大容量风力机基础系统：试验与数值研究

IF 5.1 2区工程技术 Q1 ENGINEERING, CIVIL

Marine Structures

Pub Date : 2025-12-11 DOI: 10.1016/j.marstruc.2025.103987

Babita Sah, Sridhar Gangaputhiran

Growing energy demand necessitates offshore wind energy expansion, requiring strong foundation for high-capacity turbines. This paper presents a novel and innovative Monopile-Plate Foundation (MPF) for next generation high capacity offshore wind turbines. MPF consists of a plate, attached to the conventional monopile at the mudline. A series of physical model tests were conducted to determine its effectiveness by comparing ultimate lateral load carrying capacity of Conventional Monopile Foundation (CMF) and MPF. In the present study, offshore 5 MW baseline wind turbine from National Renewable Energy Laboratory (NREL), is selected as a prototype. The results demonstrate MPF’s increased lateral load capacity by 32 %; and reduced lateral displacement by 47.1 %. Numerical simulation was done to elucidate the mechanism. MPF reduced the deflection, shear force and bending moment by 52 %, 29 % and 4.2 %, respectively, under the maximum lateral load capacity of the CMF. Parametric studies were also performed to optimize MPF’s plate diameter and thickness. The influence of lateral load eccentricity was examined, showing enhancement in MPF’s capacity by at least 21 % in any case. The impact of varying soil conditions, including single, two- and three-layered soil were investigated; and was observed that lateral load carrying capacity of MPF was higher than that of CMF.

不断增长的能源需求使得海上风能的扩张成为必要，这就需要为大容量涡轮机提供坚实的基础。本文提出了一种用于新一代大容量海上风力发电机组的新型单桩-板基础。MPF由一个板组成，连接在泥线处的传统单桩上。通过对比传统单桩基础和强桩基础的极限横向承载力，进行了一系列物理模型试验，以确定其有效性。在本研究中，选择国家可再生能源实验室（NREL）的海上5mw基线风力涡轮机作为原型。结果表明：强积金提高了横向承载能力32%；减少了47.1%的侧向位移。通过数值模拟来阐明其机理。在CMF最大横向承载能力下，MPF可分别降低52%、29%和4.2%的挠度、剪力和弯矩。参数化研究也对MPF板的直径和厚度进行了优化。研究了侧向载荷偏心的影响，结果表明在任何情况下，MPF的能力至少提高了21%。研究了不同土壤条件（单层、双层和三层）的影响；强积金结构的横向承载能力高于CMF结构。

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引用次数: 0

Soil deformation and seepage behavior during suction-assisted installation of compartmented bucket foundations 抽吸式桶形基础安装过程中土体变形与渗流特性

IF 5.1 2区工程技术 Q1 ENGINEERING, CIVIL

Marine Structures

Pub Date : 2025-12-08 DOI: 10.1016/j.marstruc.2025.103983

Linlong Mu , Tao Zhou , Yimin Lu , Jianguo Sun , Guangming Yu

The compartmented bucket foundation (CBF) is an innovative offshore wind turbine foundation that offers enhanced leveling control compared to traditional mono-bucket foundations. However, the soil deformation and seepage mechanisms during suction-assisted installation remain poorly understood. This study combines semi-model tests with particle image velocimetry (PIV) and three-dimensional finite element simulations to investigate soil displacement and seepage behavior under both uniform and non-uniform suction conditions. The physical tests reveal asymmetric soil plug development between side and central compartments, with external soil inflow becoming dominant in side chambers at deeper penetration stages. Seepage field analysis shows concentrated hydraulic gradients near the bucket toes and higher pore water velocities in the side chambers. The finite element model captures the evolution of excess pore pressure and provides critical suction estimates that agree with experimental trends. Simultaneous leveling suction in multiple chambers increases the critical suction by 27.8% compared to single-chamber suction. These results advance the understanding of soil–structure interaction in CBF installation and offer guidance for safe and efficient offshore wind foundation design.

隔间桶型基础（CBF）是一种创新的海上风力发电机基础，与传统的单桶型基础相比，它提供了更好的水平控制。然而，在吸力辅助安装过程中，土壤变形和渗透机制仍然知之甚少。本研究将半模型试验与颗粒图像测速（PIV）和三维有限元模拟相结合，研究了均匀和非均匀吸力条件下土壤的位移和渗流行为。物理试验表明，侧室和中心室之间的土塞发育不对称，在较深的侵彻阶段，外部土流入在侧室中占主导地位。渗流场分析表明，近斗趾处水力梯度集中，侧室孔隙水流速较高。有限元模型捕捉了超孔隙压力的演变，并提供了与实验趋势一致的临界吸力估计。多室同步调平吸力比单室吸力提高临界吸力27.8%。这些结果促进了对CBF装置中土-结构相互作用的理解，并为安全高效的海上风基础设计提供了指导。

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引用次数: 0

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

Marine Structures

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

Marine Structures

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