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两正交投影组合的Moore-Penrose逆的数值域
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作者 王然 余维燕 《山东大学学报(理学版)》 北大核心 2025年第5期100-106,共7页
设■为一个复可分Hilbert空间,P和Q为■上的2个正交投影算子。研究P和Q的组合P+QP的Moore-Penrose逆算子(P+QP)*的数值域,运用算子分块技巧给出算子(P+QP)*的数值域的几何刻画,即它的数值域闭包是参数在算子PQ谱里的一些椭圆的闭凸包。
关键词 数值域 正交投影 moorE-PENROSE逆 支撑函数
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Monitoring and Data Analysis of Mooring Tension for Floating Platforms
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作者 YANG Hua−wei ZHENG Qing−xin +2 位作者 XU Chun YANG Qi−fan JIANG Zhen−tao 《船舶力学》 北大核心 2025年第6期941-951,共11页
Mooring cable tension is a crucial parameter for evaluating the safety and reliability of a floating platform mooring system.The real-time mooring tension in an actual marine environment has always been essential data... Mooring cable tension is a crucial parameter for evaluating the safety and reliability of a floating platform mooring system.The real-time mooring tension in an actual marine environment has always been essential data that mooring system designers aim to acquire.To address the need for long-term continuous monitoring of mooring tension in deep-sea marine environments,this paper presents a mooring cable tension monitoring method based on the principle of direct mechanical measurement.The developed tension monitoring sensors were installed and applied in the mooring system of the"Yongle"scientific experimental platform.Over the course of one year,a substantial amount of in-situ tension monitoring data was obtained.Under wave heights of up to 1.24 m,the mooring tension on the floating platform reached 16.5 tons.Through frequency domain and time domain analysis,the spectral characteristics of mooring tension,including waveinduced force,slow drift force,and mooring cable elastic restoring force,were determined.The mooring cable elastic restoring force frequency was approximately half of that of the wave signal.Due to the characteristics of the hinge connection structure of the dual module floating platform,under some specific working conditions the wave-induced force was the maximum of the three different frequency forces,and restoring force was the smallest. 展开更多
关键词 floating platform mooring tension tension monitoring sensor wave frequency force drift force
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改良Smith-Peterson入路和Moore入路人工股骨头置换治疗高龄股骨颈骨折的疗效分析
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作者 樊峰 李文海 +1 位作者 秦红安 张光雪 《中国医学工程》 2025年第2期87-92,共6页
目的 研究改良Smith-Peterson入路和Moore入路人工股骨头置换治疗高龄股骨颈骨折的疗效。方法 该研究采用前瞻性、随机对照设计,研究时间为2020年1月至2022年12月,入组人群为信阳市人民医院行人工股骨头置换的股骨颈骨折的高龄老年患者... 目的 研究改良Smith-Peterson入路和Moore入路人工股骨头置换治疗高龄股骨颈骨折的疗效。方法 该研究采用前瞻性、随机对照设计,研究时间为2020年1月至2022年12月,入组人群为信阳市人民医院行人工股骨头置换的股骨颈骨折的高龄老年患者。按照患者的入院时间,随机分为两组,一组患者行Moore入路(n=51)为Moore组,一组患者行改良的Smith-Peterson入路(n=52)为Smith-Peterson组。对患者手术情况、疼痛情况、生活质量、Harris评分、术后并发症发生情况及髋关节假体髋臼外展角、前倾角情况进行评估。结果 Smith-Peterson组患者,伤口长度为(10.01±1.01) cm,手术用时为(61.22±11.38) min,出血量为(77.28±21.35) mL,患者术后卧床时间(1.25±0.42) d,留院时间为(9.01±1.76) d,与Moore组患者比较差异有统计学意义(P<0.05);治疗后,Smith-Peterson组患者的视觉模拟量表(VAS)评分、生活质量、Harris评分分别为(2.87±0.41)分、(83.19±7.97)分和(86.34±9.12)分,与Moore组患者比较差异有统计学意义(P<0.05);Smith-Peterson组患者髋臼外展角、前倾角及术后并发症与Moore组患者比较,差异无统计学意义(P>0.05)。结论 采用的改良Smith-Peterson入路,可以减轻股骨颈骨折患者术后的疼痛程度,加快髋关节功能的恢复,改善患者生活质量,减少住院时间,临床应用价值显著。 展开更多
关键词 高龄股骨颈骨折 改良Smith-Peterson入路 moore入路 人工股骨头置换 临床疗效
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Research on the Performance of a Mooring Platform Under the Collision of Icebergs
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作者 ZHANG Yan ZHANG Song-bao +2 位作者 WANG Yi-tao ZHAO Wei-dong GUI Hong-bin 《China Ocean Engineering》 2025年第1期43-57,共15页
In the process of developing oil and gas resources in the Arctic,the impact of icebergs can pose a considerable threat to the structural safety of semi-submersible mooring platforms in ice regions.On the basis of the ... In the process of developing oil and gas resources in the Arctic,the impact of icebergs can pose a considerable threat to the structural safety of semi-submersible mooring platforms in ice regions.On the basis of the arbitrary Lagrangian Eulerian(ALE)algorithm,a numerical model for the interaction between an iceberg and a semi-submersible mooring platform is built in this work.First,a mooring system with a link element is designed and validated.An ice material model for the target iceberg is built and validated.A numerical model for the interaction between an iceberg and a semi-submersible mooring platform is then built.A parametric study(cable angle,tension angle and number of cables)is carried out to study the performance of the mooring system.The collision process between the semi-submersible mooring platform and the iceberg in the polar marine environment can be predicted by the present numerical model,and then the optimal mooring arrangement scheme can be obtained.The research results in this work can provide a reference for the design of mooring systems. 展开更多
关键词 ALE algorithm semi-submersible platform ICEBERG COLLISION mooring system
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Numerical Analysis of Mooring System Hydrodynamics under Irregular Wave Conditions
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作者 Yini Shen Azhar Halik 《Fluid Dynamics & Materials Processing》 2025年第8期1969-2000,共32页
This study employs the Smoothed Particle Hydrodynamics(SPH)method to develop a computational fluid dynamics(CFD)model for analyzing the interaction between rogue waves and mooring systems.Four floating body configurat... This study employs the Smoothed Particle Hydrodynamics(SPH)method to develop a computational fluid dynamics(CFD)model for analyzing the interaction between rogue waves and mooring systems.Four floating body configurations are investigated:(1)dual rectangular prisms,(2)rectangular prism–sphere composites,(3)sphere–rectangular prism composites,and(4)dual spheres.These configurations are systematically evaluated under varying mooring conditions to assess their hydrodynamic performance and wave attenuation capabilities.The model accurately captures the complex fluid–structure interaction dynamics between moored floating breakwaters and incident wave fields.Among the configurations,the dual rectangular prism system demonstrates superior performance in both wave dissipation and mooring force reduction.Under conditions involving dual wave makers,the influence of floating body shape and number on wave height is found to be minimal.However,dual-body arrangements consistently outperform single-body setups in terms of both energy dissipation and structural stability.From a cost-efficiency perspective,the configuration comprising two rectangular prisms connected via a single mooring system offers significant advantages in material usage and deployment feasibility. 展开更多
关键词 Rogue waves SPH mooring systems dual buoyancy systems numerical simulation
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Hydrodynamic Analysis of Different Shapes of Moored Hybrid Floating Breakwater 被引量:1
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作者 Ranti Dev Vishwakarma Debabrata Karmakar 《哈尔滨工程大学学报(英文版)》 CSCD 2024年第4期743-761,共19页
The present study investigates the effect of moorings on hybrid floating breakwaters of different configurations based on potential flow theory.The mooring analysis is performed for the regular wave incidence for five... The present study investigates the effect of moorings on hybrid floating breakwaters of different configurations based on potential flow theory.The mooring analysis is performed for the regular wave incidence for five different shapes of hybrid floating breakwaters,namely,rectangular,box,H,Π,and trapezoidal,integrated with a single J-shaped oscillating water column(OWC).The mooring lines are considered to be nonlinear catenary sections that are analysed for open mooring and cross mooring configuration.The hydrodynamic analysis is performed using Ansys-AQWA and the effectiveness of the moorings is evaluated in terms of the mooring line tension and the floating structure’s motion response,and comparisons are made for the influence of different mooring configurations and the implications of changing the design of the hybrid floating breakwater.The regular gravity wave frequency range is taken into consideration and the hydrodynamic properties are reported for the entire range of regular wave frequencies.Additionally,for a few chosen wave frequencies the analysis of structural forces and moment is performed for long and short waves.The study suggests that a hydrodynamically stable hybrid floating structure integrated with an oscillating water column can provide good and effective wave energy conversion and wave attenuation.Thus,with the help of the findings of the present study,the researchers will be able to examine the stability of hybrid floating breakwater structures under the action of regular waves with normal incidence. 展开更多
关键词 Hybrid floating breakwater mooring analysis mooring configurations Ansys-AQWA Catenary mooring
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基于OpenFOAM和MoorDyn的浮式结构动力响应分析 被引量:2
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作者 袁琦新 孙亮 +1 位作者 张虎 张毅豪 《水道港口》 2024年第6期910-918,共9页
随着新型海上浮式结构的增多,浮体与系泊系统的耦合动力响应对于浮式结构的安全评估愈发关键。采用开源计算流体力学软件OpenFOAM,基于集中质量法的系泊系统动力分析程序MoorDyn,建立了波浪-浮体-系泊系统全耦合动力模型。数值结果与物... 随着新型海上浮式结构的增多,浮体与系泊系统的耦合动力响应对于浮式结构的安全评估愈发关键。采用开源计算流体力学软件OpenFOAM,基于集中质量法的系泊系统动力分析程序MoorDyn,建立了波浪-浮体-系泊系统全耦合动力模型。数值结果与物理模型试验结果的对比验证了耦合模型的准确性。同时进一步研究了系泊系统中拖地长度对浮体动力响应的影响,并对不同波浪周期下浮体的运动响应进行了研究。结果表明:拖地长度的增加会减小浮体的纵荡运动,同时会加大浮体的纵摇运动基频幅值、减小二倍频幅值,并且会减小系泊线上张力的波动幅值。随着波浪周期变大,浮体的垂荡、纵荡运动幅度和系泊线张力幅值显著增大,纵摇运动幅度在特定周期下会明显减小。 展开更多
关键词 OPENFOAM moorDyn 浮式结构 系泊系统 动力响应 集中质量法
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Dynamic Response Analysis of A Floating Photovoltaic System with Different Mooring Arrangements in An Area with Large Tidal Variations 被引量:1
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作者 XU Wan-hai SUN Yu-meng +3 位作者 HE Zi-qi ZHANG Xin-rui GAO Xi-feng LIU Run 《China Ocean Engineering》 CSCD 2024年第6期1057-1070,共14页
To address the mooring issues of floating photovoltaic systems in areas with large tidal variations,three mooring schemes were designed and compared in this paper:anchor chain,anchor chain with added weights,and ancho... To address the mooring issues of floating photovoltaic systems in areas with large tidal variations,three mooring schemes were designed and compared in this paper:anchor chain,anchor chain with added weights,and anchor chain with Superflex.The model was established via the numerical simulation tool Orcaflex,which considers the combined effects of wind,waves,and currents.A time-domain coupled dynamic analysis was conducted on the performance of the three mooring schemes under various tidal conditions to determine the mooring cable tension and platform motion response.Furthermore,the mooring system with an anchor chain and Superflex was optimized,with a focus on analyzing the effects of the Superflex length,the diameter of the anchor chains,and the mooring radius.The mooring system with the anchor chain and Superflex exhibits more controllable and stable mooring performance in areas with large tidal variations,so that it more effectively maintains the required mooring tension level.These findings not only provide a reference for the feasibility and optimization design of photovoltaic systems in areas with large tidal variations but also offer valuable experience for the sustainable application of clean energy under specific environmental conditions. 展开更多
关键词 floating photovoltaic large tidal variation mooring system dynamic analysis Orcaflex
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Underwater Image Transmission Method and Realization Based on Inductively Coupled Mooring Chain
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作者 ZHENG Yu LIU Yingjie +1 位作者 SONG Rujuan LI Hongzhi 《Journal of Ocean University of China》 SCIE CAS CSCD 2024年第6期1503-1514,共12页
Inductively coupled mooring chain transmission technology plays a crucial role in the long-distance online monitoring of marine hydrographic information.However,the impedance characteristics of the seawater medium pos... Inductively coupled mooring chain transmission technology plays a crucial role in the long-distance online monitoring of marine hydrographic information.However,the impedance characteristics of the seawater medium pose a limitation on its capability to achieve high-speed real-time transmission of underwater images.In this paper,based on the principle of inductively coupled transmission for marine applications,the selected 1920×1080 pixel images are segmented,packaged,and then transmitted to the sending node using the user datagram protocol(UDP),and the modulation and demodulation of the transmitted images are realized using the orthogonal frequency division multiplexing(OFDM)algorithm of least squares(LS)estimation,and eight combinations with different mapping modes and coding rates are tested in the bandwidth of 200-800 k Hz and the quality of the transmitted images is evaluated using three criteria:mean squared error(MSE),peak signal to noise ratio(PSNR),and structural similarity index(SSIM).The results indicate that the image transmission quality is optimal when the mapping method is 16-quadrature amplitude modulation(16QAM),the coding rate is 1/2,and the center frequency is 800 k Hz.Under these conditions,the maximum transmission rate is 0.84 Mbit s^(-1),the SSIM criterion exceeds 0.91690 d B,and the learned perceptual image patch similarity(LPIPS)is less than 0.06000.This paper provides a solution for the underwater image transmission of inductively coupled mooring chains for marine applications. 展开更多
关键词 OCEAN inductively coupled mooring chain underwater image OFDM data communication
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Intraseasonal variability of the Kuroshio observed via mooring at 18°N
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作者 Xin YUAN Qingye WANG +2 位作者 Jie MA Shijian HU Dunxin HU 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2024年第2期468-483,共16页
Insufficient observations near the origin of the Kuroshio have led to incomplete understanding of the intraseasonal variability(ISV)of the Kuroshio.Direct measurements of the Kuroshio velocity were performed with an a... Insufficient observations near the origin of the Kuroshio have led to incomplete understanding of the intraseasonal variability(ISV)of the Kuroshio.Direct measurements of the Kuroshio velocity were performed with an array of three profiler moorings(122.7°E,123°E,and 123.3°E)along 18°N from January 2018 to February 2020.The ISV of the Kuroshio at 18°N was investigated based on a combination of mooring observations and global high-resolution HYbrid Coordinate Ocean Model reanalysis data.The estimated time-averaged transport in the upper 350 m across the observation transect was 6.5±2.6 Sv(1.0 Sv=10^(6)m^(3)/s).Two significant ISV peaks at 50-60 and~100 d were recognized in the power spectra of the meridional velocity and transport.Further analysis indicated that the ISV at 50-60 d was caused by westward-propagating eddies at average propagation speed of~13 cm/s and wavelength of~635 km.Another ISV peak at~100 d was mainly caused by northward-propagating eddies generated in the North Equatorial Current region.Further investigation indicated that the ISV of the Kuroshio at 18°N is dominated by meridional transport,rather than by the zonal migration of the Kuroshio main axis.Our findings provide a better understanding of the ISV of the Kuroshio east of Luzon Island. 展开更多
关键词 intraseasonal variability(ISV) KUROSHIO mooring observation EDDY
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Current observation and analysis based on mooring systems in the Andaman Sea
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作者 Yimeng WANG Jingsong GUO +4 位作者 Dapeng QU Zhixin ZHANG Chalermrat SANGMANEE Varintha VASINAMEKHIN Binghuo GUO 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2024年第2期484-491,共8页
The basic structure and intraseasonal evolution of currents in the southeastern Andaman Sea was analyzed based on data collected in 2017 from two subsurface moorings(C1 and C5).Periodic variation in the upper ocean cu... The basic structure and intraseasonal evolution of currents in the southeastern Andaman Sea was analyzed based on data collected in 2017 from two subsurface moorings(C1 and C5).Periodic variation in the upper ocean currents of the Andaman Sea was investigated by combining observational and satellite data.Mooring observations show that rapid changes of current speed and direction occurred in May and June,with a significant increase in current velocity at the C1 mooring.In the second half of the year,southward flow dominated at the C1 mooring,and alternating northward and southward flows were evident at the C5 mooring during the same period but the northward flow prevailed in boreal winter.In addition,analysis of the power spectra of the upper currents revealed that the tidal period at both moorings is primarily semidiurnal with weaker energy than that of the low-frequency currents.The upper ocean currents at the C1 and C5 moorings exhibited intraseasonal variation of 30-60 d and 120 d,while the zonal current at the C1 mooring exhibited a notable period of approximately 180 d.Further analysis indicated that the variability of currents in the Andaman Sea is influenced primarily by equatorial Kelvin waves and Rossby wave packets.Moreover,our results suggest that equatorial Kelvin waves from the eastern Indian Ocean entered the Andaman Sea in the form of Wyrtki Jets and propagated primarily along two distinct pathways during the observation period.In addition to coastal boundary Kelvin waves,it was found that a branch of the Wyrtki Jet that directly enters the Andaman Sea and flows northward along the slope of the continental shelf,and reflected Rossby wave packets by topography. 展开更多
关键词 mooring observation Wyrtki Jet Rossby waves intraseasonal variation
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一类树的邻接矩阵的Moore-Penrose广义逆
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作者 王玉浩 刘奋进 徐剑锋 《吉林大学学报(理学版)》 CAS 北大核心 2024年第4期759-764,共6页
根据矩阵结构性质,利用分块矩阵技巧给出任意点数、任意长直径的毛毛虫树邻接矩阵的Moore-Penrose广义逆的具体形式,为进一步研究毛毛虫树的代数性质提供理论支撑.
关键词 邻接矩阵 分块矩阵 moorE-PENROSE广义逆
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Numerical modeling of a mooring line system for an offshore floating wind turbine in Vietnamese sea conditions using nonlinear materials
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作者 Hien Hau Pham 《Water Science and Engineering》 CSCD 2024年第3期300-308,共9页
The offshore renewable energy industry has been developing farms of floating offshore wind turbines in water depths up to 100 m.In Vietnam,floating offshore wind turbines have been developed to increase the production... The offshore renewable energy industry has been developing farms of floating offshore wind turbines in water depths up to 100 m.In Vietnam,floating offshore wind turbines have been developed to increase the production of clean and sustainable energy.The mooring system,which is used to keep the turbine stable and ensure the safety and economic efficiency of wind power production,is an important part of a floating offshore wind turbine.Appropriate selection of the mooring type and mooring line material can reduce the risks arising from the motion of wind turbines.Different types of mooring line material have been simulated and compared in order to determine the optimal type with the minimum motion risk for a floating wind turbine.This study focused on numerical modeling of semi-taut mooring systems using nonlinear materials for a semi-submersible wind turbine.Several modeling approaches common to current practice were applied.Hydrodynamic analysis was performed to investigate the motion of the response amplitude operators of the floating wind turbine.Dynamic analysis of mooring systems was performed using a time domain to obtain the tension responses of mooring lines under the ultimate limit states and fatigue limit states in Vietnamese sea conditions.The results showed that the use of nonlinear materials(polyester and/or nylon)for mooring systems can minimize the movement of the turbine and save costs.The use of synthetic fibers can reduce the maximum tension in mooring lines and the length of mooring lines.However,synthetic fiber ropes showed highly nonlinear load elongation properties,which were difficult to simulate using numerical software.The comparison of the characteristics of polyester and nylon mooring lines showed that the maximum and mean tensions of the nylon line were less than those of the polyester line.In addition,the un-stretched length of the polyester line was greater than that of the nylon line under the same mean tension load.Therefore,nylon material is recommended for the mooring lines of a floating offshore wind turbine. 展开更多
关键词 Offshore floating wind turbine Semi-taut mooring lines Nonlinear material Offshore renewable energy HYDRODYNAMICS
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一类含加权非线性项的Moore-Gibson-Thompson方程初边值问题解的破裂
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作者 明森 范雄梅 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2024年第6期31-36,共6页
本文在3维空间外区域(即3维空间中有界区域的补集)中研究了一类包含加权非线性项的Moore-Gibson-Thompson方程初边值问题的解的破裂,其中的边界条件分别为Dirichlet边界条件和Neumann边界条件.本文构造了检验函数,运用迭代方法在次临界... 本文在3维空间外区域(即3维空间中有界区域的补集)中研究了一类包含加权非线性项的Moore-Gibson-Thompson方程初边值问题的解的破裂,其中的边界条件分别为Dirichlet边界条件和Neumann边界条件.本文构造了检验函数,运用迭代方法在次临界和小初值情形下证明问题的解将在有限时间内破裂,并给出了解的生命跨度的上界估计. 展开更多
关键词 加权非线性项 moore-Gibson-Thompson方程初边值问题 破裂 生命跨度
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Spatial Decay Estimates for the Moore-Gibson-Thompson Heat Equation
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作者 SHI Jincheng 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2024年第5期397-402,共6页
In this article,the Moore-Gibson-Thompson heat equation in three-dimensional cylindrical domain are studied.Using a second order differential inequality,we obtain that the solution can decay exponentially as the dista... In this article,the Moore-Gibson-Thompson heat equation in three-dimensional cylindrical domain are studied.Using a second order differential inequality,we obtain that the solution can decay exponentially as the distance from the entry section tends to infinity.Our result can be seen as a version of Saint-Venant principle. 展开更多
关键词 decay estimates moore-Gibson-Thompson heat equation Saint-Venant principle
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Current Status and Future Trends for Mooring Systems of Floating Offshore Wind Turbines
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作者 Ruyan Yang Xiangyuan Zheng +1 位作者 Jinlu Chen Yufei Wu 《Sustainable Marine Structures》 2022年第2期40-54,共15页
With the increasing demand of energy and the limitation of bottom-fixed wind turbines in moderate and deep waters,floating offshore wind turbines are doomed to be the right technical choice and they are bound to enter... With the increasing demand of energy and the limitation of bottom-fixed wind turbines in moderate and deep waters,floating offshore wind turbines are doomed to be the right technical choice and they are bound to enter a new era of rapid development.The mooring system is a vital system of a floating wind turbine for station-keeping under harsh environmental con­ditions.In terms of existing floating wind turbine projects,this paper is devoted to discussing the current status of mooring systems and mooring equipment.This paper also presents the mooring analysis methods and points out the technical difficulties and challenges in mooring design,in­stallation,operation and maintenance stages.Finally,the developing trends of the mooring system are summarized,aiming to provide a reference for future mooring research. 展开更多
关键词 mooring system mooring equipment mooring analysis Floating offshore wind turbines mooring line ANCHOR
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Dynamic Analysis of Semi-Submersible Production Platform Under the Failure of Mooring Lines 被引量:7
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作者 CHUANG Zhen-ju LIU She-wen +2 位作者 LI Chun-zheng LU Yu CHANG Xin 《China Ocean Engineering》 SCIE EI CSCD 2021年第1期84-95,共12页
This paper quantitatively studies the transient dynamic response of a semi-submersible production platform with the loss of one or several positioning mooring lines.A semi-submersible platform,production risers,and po... This paper quantitatively studies the transient dynamic response of a semi-submersible production platform with the loss of one or several positioning mooring lines.A semi-submersible platform,production risers,and positioning mooring lines are all included in the numerical simulation.Increased motion of the semi-submersible platform,tension variation of the remaining mooring lines/risers and the risk of mooring line or riser clashing are all investigated through fully coupled time-domain analysis.Combined environmental loads are selected from irregular waves and the steady current varying from very rough to extreme sea conditions.Three dimension radiation/diffraction theories and Morison’s equation are applied to calculate first-order wave force and second-order mean drift force of floating semi-submersible platform.Nonlinear time-domain finite element methods are employed to analyze the behavior of mooring lines and risers.Results show that the failure of mooring lines seriously reduce the platform’s stability performance.The tension of the rest lines is also increased accordingly.Remaining lines which are closer to the failed lines will have larger tension increase to compensate.Line-Line distance provides practical information for the risk of clashing investigation. 展开更多
关键词 mooring line failure the transient response of platform tension variation of mooring line risk of lines clashing coupling effect between platform and mooring system
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长方矩阵的Γ_(α,β)-Moore-Penrose群逆
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作者 崔雪芳 《浙江大学学报(理学版)》 CAS CSCD 2014年第1期6-11,17,共7页
PATRICIO等讨论了环中元素的Drazin-Moore-Penrose(DMP)可逆性,在矩阵环中得到了一些结果.讨论了长方矩阵的Γα,β-Moore-Penrose群逆,给出了长方矩阵的Γα,β-Moore-Penrose群逆存在的几个充要条件以及Γα,β-Moore-Penrose群逆的... PATRICIO等讨论了环中元素的Drazin-Moore-Penrose(DMP)可逆性,在矩阵环中得到了一些结果.讨论了长方矩阵的Γα,β-Moore-Penrose群逆,给出了长方矩阵的Γα,β-Moore-Penrose群逆存在的几个充要条件以及Γα,β-Moore-Penrose群逆的几个计算公式,把已有的平方矩阵的结果推广到了长方矩阵中. 展开更多
关键词 长方矩阵 Гα β-moore-Penrose逆 Гα β-群逆 Гα β-moore—Penrose群逆
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矩阵之积的加权Moore-Penrose逆
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作者 秦莹莹 《五邑大学学报(自然科学版)》 CAS 2008年第2期61-64,共4页
给出了任意两个矩阵A和B它们的乘积AB的加权Moore-Penrose逆的一种表达式.
关键词 moore—Penrose逆 加权moore—Penrose逆 矩阵计算
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环上长方形矩阵的加权群-Moore-Penrose可逆性
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作者 陈申宝 《纯粹数学与应用数学》 2020年第2期239-252,共14页
研究了具有对合的环上长方形矩阵的W加权群-Moore-Penrose可逆性。给出了环上长方形矩阵的W加权Moore-Penrose逆和W加权群逆的存在性的特性。环上长方形矩阵的W加权群-Moore-Penrose逆可以被刻画和计算出来。这推广了具有对合的环上... 研究了具有对合的环上长方形矩阵的W加权群-Moore-Penrose可逆性。给出了环上长方形矩阵的W加权Moore-Penrose逆和W加权群逆的存在性的特性。环上长方形矩阵的W加权群-Moore-Penrose逆可以被刻画和计算出来。这推广了具有对合的环上平方矩阵的群-Moore-Penrose逆的结果。结果也适用于(加法)范畴中的态射. 展开更多
关键词 von Neumann正则 W加权moore-Penrose逆 W加权群逆 W加权群-moore-Penrose逆
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