Joint earthquake and wave action on the monopile wind turbine foundation: An experimental study

Offshore wind turbines in regions of active seismicity are under a potential threat caused by the joint earthquake and ocean wave action. Taking NREL-5MW monopile wind turbine as the prototype, this study is devoted to probe the joint action of strong earthquakes and moderate sea conditions. A series of shake table model tests of scale 30:1 have been carried out by the contemporary world unique facility (Earthquake, Wave and Current Joint Simulation System) to investigate the structural response in dry flume, low and high calm water levels, with and without regular or random waves. Particular interest has been in the nacelle acceleration subjected to strong ground motions as well as to random waves. The experimental results of nacelle peak accelerations and corresponding dynamic amplification factors show that the joint earthquake and wave action is important for the proper evaluation of structural response. Ignoring the effect of wave action in seismic analysis will lead to underestimation of structural response, especially when the monopile foundation is dynamically sensitive. The coupling of earthquake and wave actions is sourced not only from the relative velocity of vibration but also from the initial condition induced by waves. It has been also derived that the peak acceleration excited by a moderate sea condition is comparable to that by a moderate earthquake.     

The influence of fully nonlinear wave forces on aero-hydro-elastic calculations of monopile wind turbines

The response of an offshore wind turbine tower and its monopile foundation has been investigated when exposed to linear and fully nonlinear irregular waves on four different water depths. The investigation focuses on the consequences of including full nonlinearity in the wave kinematics. The linear and nonlinear irregular wave realizations are calculated using the fully nonlinear potential flow wave model OceanWave3D [1]. The linear and nonlinear wave realizations are compared using both a static analysis on a fixed monopile and dynamic calculations with the aeroelastic code Flex5 [2]. The conclusion from this analysis is that linear wave theory is generally sufficient for estimating the fatigue loading, but wave nonlinearity is important in determining the ultimate design loads.     

基于浮体Morison方程的半潜式超大型浮式结构波浪力简化计算方法

研究了半潜式超大型浮式结构中移动式海上基地（MOB）在高海况随机波作用下波浪力的简化计算方法。文中基于修正后的浮体Morison方程,经理论推导得出了MOB结构波浪力的计算公式。以MOB结构“三模块模型”为例,研究其在6级海况条件下基于Bretschneider谱模拟的随机不规则波中浪向角变化在0°~90°范围内,各模块的波浪力-历时规律,将本文简化算法的计算结果统计值与势流理论的结果相互对比,并对二者进行误差分析。结果表明：运用本文简化算法得到的MOB波浪力统计结果与势流理论的结果吻合程度高,且二者之间的相对误差在工程允许的范围之内,可充分验证本文方法的正确性、合理性与可行性。本文算法相比于势流理论而言更加简单,建议在结构初步设计阶段运用该方法可高效地评估大量不同工况下MOB结构的波浪荷载,研究成果可为半潜式超大型浮式结构动力响应研究奠定基础。     

深海极限波浪运动特性的简便算法(英文)

本文基于五阶Stokes规则波理论,提出了一种快速求解深海极限波浪运动特性的数学模型.研究中,按照上跨零点和下跨零点的方法由计算或实测的极限波浪波面时间历程确定包含极限波峰或波谷的相邻两个周期的平均值为五阶Stokes规则波的波浪周期,然后根据极限波峰或波谷值反推确定波浪入射波幅.通过与已有的数值结果和实验数据对比,验证了本文所建立的数值模型可以快速准确的计算出极限波浪下的速度场,相比其他模型,更适合于工程应用.     

Ultimate load analysis of a 10 MW offshore monopile wind turbine incorporating fully nonlinear irregular wave kinematics

Loads from storm waves can in some cases be dimensioning for offshore wind turbine substructures. Accurate determination of nonlinear wave loads is therefore important for a safe, yet economic design. In this paper, the fully nonlinear waves, realized by a fully nonlinear potential wave solver OceanWave3D, are incorporated into coupled aero-servo-hydro-elastic simulations for a reduced set of wave-sensitive design load cases, in comparison with the widely used linear and constrained waves. The coupled aero-elastic simulations are performed for the DTU 10 MW reference wind turbine on a large monopile at 33 m water depth using the aero-elastic code HAWC2. Effect of the wave nonlinearity is investigated in terms of the ultimate sectional moments at tower bottom and monopile mudline. Higher ultimate moments, 5% at tower bottom and 13% at monopile mudline as maximum, are predicated when the nonlinear waves are used. It could be explained by the fact that the extreme nonlinear waves, that are close to the breaking limit, can induce resonant ringing-type responses, and hereby dominate the ultimate load responses. However, the constrained wave approach shows marginal difference compared to the standard linear wave approach. It can be concluded at least for the present configuration that the industry standard approaches (linear and constrained wave approach) underestimate the ultimate load responses on offshore wind turbines in severe sea states.     

水深对半潜式平台水动力性能及波浪载荷的影响*

本文根据有条件的建模方法（CMA）和一次逆可靠度方法(IFORM),运用Matlab编程计算确定百年一遇波高-周期的等概率曲线,设计了一组百年一遇波浪海况。根据Morison方程与绕射理论计算海洋平台波浪载荷的各自特点,本文采用Morison方程和绕射理论相结合的方法,运用挪威船级社研发的SESAM程序,就水深对半潜式海洋平台水动力性能和波浪载荷的影响进行了分析。某半潜式海洋平台计算分析水深对平台的运动响应、气隙、波浪二阶平均漂移力和纵向剪切力等六个波浪载荷的影响。     

Wave data assimilation with the Kalman filter

A new data assimilation method for ocean waves is presented, based on an efficient low-rank approximation to the Kalman filter. Both the extended Kalman filter and a truncated second-order filter are implemented. In order to explicitly estimate past wind corrections based on current wave measurements, the filter is extended to a fixed-lag Kalman smoother for the wind fields. The filter is tested in a number of synthetic experiments with simple geometries. Propagation experiments with errors in the boundary condition showed that the KF was able to accurately propagate forecast errors, resulting in spatially varying error correlations, which would be impossible to model with time-independent assimilation methods like OI. An explicit comparison with an OI assimilation scheme showed that the KF also is superior in estimating the sea state at some distance from the observations. In experiments with errors in the driving wind, the modeled error estimates were also in agreement with the actual forecast errors. The bias in the state estimate, which is introduced through the nonlinear dependence of the waves on the driving wind field, was largely removed by the second-order filter, even without actually assimilating data. Assimilation of wave observations resulted in an improved wave analysis and in correction of past wind fields. The accuracy of this wind correction depends strongly on the actual place and time of wave generation, which is correctly modeled by the error estimate supplied by the Kalman filter. In summary, the KF approach is shown to be a reliable assimilation scheme in these simple experiments, and has the advantage over other assimilation methods that it supplies explicit dynamical error estimates.     

Truss Spar平台总体结构强度分析

在南海百年一遇海况条件下,综合考虑风、浪、流载荷的联合作用,在频域范围内计算平台的纵摇和横摇极值响应以及锚缆的张力。根据不同浪向下的结构应力谱分析确定的设计波参数,基于三维势流理论和Morison公式计算一阶波浪力,采用规范推荐的公式计算风、流载荷。在准静力条件下,根据ABS规范推荐的强度准则,针对精细化的混合有限元结构模型进行总体强度分析。     

考虑流固耦合影响的桩基波浪力简化计算方法

离岸深水全直桩码头,由于其桩基的自由高度大、柔度增加、自振周期长,且位于无掩护开敞海域,波浪与结构相互作用问题突出。如何考虑流固耦合作用对桩上波浪力的影响,并建立便于工程应用的计算方法,是工程实践提出的亟待解决的课题。文中利用有限元软件ADINA建立了水体和桩基结构相互作用的三维有限元数值模型,并采用有限元数值模型对考虑流固耦合影响的改进Morison波浪力计算公式进行了验证。采用改进Morison波浪力计算公式研究了流固耦合对桩身波浪力的影响,并给出了考虑流固耦合影响的波浪力放大系数图表。在此基础上,提出了考虑流固耦合影响的波浪力简化计算方法。     

考虑粘滞阻尼的Truss Spar频域响应分析

联合势流理论与修改的Morison方程,建立波浪作用下的Truss Spar平台运动响应计算模型。波浪激振力与相关水动力信息采用高阶边界元计算方法获得。通过数值模拟得到Truss Spar平台纵荡、垂荡和纵摇RAO,针对Morison阻力系数对响应的影响进行参数分析。计算结果显示,纵荡和纵摇仅在低频部分对阻力系数敏感。因此平台在遭受二阶波浪慢漂力作用时,粘滞阻尼将起到重要作用。对于垂荡方向,由于Truss Spar安装的垂荡板提供了较大的竖向粘滞阻尼,因此垂荡RAO受阻力系数的影响较大。     

实际海浪环境大尺度模型试验遥控遥测系统(英文)

Physical testing of large-scale ship models at sea is a new experimental method. It is a cheap and reliable way to research the environment adaptability of a ship in complex and extreme wave conditions. It is necessary to have a stable experimental system for the test. Since the experimental area is large, a remote control system and a telemetry system are essential, and were designed by the authors. An experiment was conducted on the Songhuajiang River to test the systems. The relationship between the model’s speed and its electromotor’s revolutions was also measured during the model test. The results showed that the two systems make it possible to carry out large-scale model tests at sea.     

考虑高阶拖曳力的导管架平台极端载荷响应谱方法（英文）

Response spectra of fixed offshore structures impacted by extreme waves are investigated based on the higher order components of the nonlinear drag force. In this way, steel jacket platforms are simplified as a mass attached to a light cantilever cylinder and their corresponding deformation response spectra are estimated by utilizing a generalized single degree of freedom system. Based on the wave data recorded in the Persian Gulf region, extreme wave loading conditions corresponding to different return periods are exerted on the offshore structures. Accordingly, the effect of the higher order components of the drag force is considered and compared to the linearized state for different sea surface levels. When the fundamental period of the offshore structure is about one third of the main period of wave loading, the results indicate the linearized drag term is not capable of achieving a reliable deformation response spectrum.     

Response spectrum method for extreme wave loading with higher order components of drag force

Response spectra of fixed offshore structures impacted by extreme waves are investigated based on the higher order components of the nonlinear drag force. In this way, steel jacket platforms are simplified as a mass attached to a light cantilever cylinder and their corresponding deformation response spectra are estimated by utilizing a generalized single degree of freedom system. Based on the wave data recorded in the Persian Gulf region, extreme wave loading conditions corresponding to different return periods are exerted on the offshore structures. Accordingly, the effect of the higher order components of the drag force is considered and compared to the linearized state for different sea surface levels. When the fundamental period of the offshore structure is about one third of the main period of wave loading, the results indicate the linearized drag term is not capable of achieving a reliable deformation response spectrum.     

A unified seakeeping and maneuvering analysis of ships in regular waves

The behavior of a ship in regular waves during maneuvering was studied by using a two-time scale model. The maneuvering analysis was based on Söding’s (Schiffstechnik 1982; 29:3–29) nonlinear slender-body theory generalized to account for heel. Forces and moments due to rudder, propeller, and viscous cross-flow follow from the state-of-the-art procedures. The developed unified theory of seakeeping and maneuvering was verified and validated for calm water by comparing it with experimental and calculated zigzag and circle maneuvers. Linear wave-induced motions and loads were determined by generalizing the Salvesen-Tuck-Faltinsen (Trans SNAME 1970; 78:250–287) strip theory. The mean second-order wave loads in incident regular deep water waves in oblique sea conditions were estimated by the potential flow theories of Faltinsen et al. (Proc 13th Symp Naval Hydrody 1980), Salvesen (Proc Intl Symp Dynam Mar Vehicl Struct Wave 1974), and Loukakis and Sclavounos (J Ship Res 1978; 22:1–19). The considered theories cover the whole range of important wavelengths. Comparisons between the different mean second-order wave load theories and available experimental data were carried out for different ship hull forms when the ship was advancing forward on a straight course. The mentioned methods have been incorporated into the maneuvering model. Their applicability from the perspective of the maneuvering ability of the selected types of ships was investigated in given wave environments. The wave conditions are valid for realistic maneuvering cases in open coastal areas. It was demonstrated that the incident waves may have an important influence on the maneuvering behavior of a ship. The added resistance, mean second-order transverse force, and yaw moment also play important roles.     

Response analysis of a truss spar in the frequency domain

The nonzero added-mass coefficients of a platform are found by using the transformation law for a second-order tensor, and the repeated application of the parallel-axes theorem. The excitation forces acting on the truss section of the platform are derived by an approach that differs from the conventional one commonly seen in the literature. The force decomposition of the Morison equation is used to add viscous effects to linear equations of motion. The nonlinear equation of motion for the heave of the truss spar is solved without any iteration in the frequency domain. The results obtained from this analysis are compared with results obtained from the conventional numerical approach and with experimental data.     

Probability distributions of wave run-up on a TLP model

Wave run-up on multi-column compliant and rigid platforms both on the weather-side and beneath the platform deck is a complex wave–structure interaction problem. Predictions based upon higher order hydrodynamic design codes have been improved our understanding of this phenomena but have not appreciably reduced the reliance on model tests and statistical analyses. In this study a three parameter distribution model is developed based upon the inclusion of linear, second-order, and mean contributions to the wave run-up utilizing the method of L-moments. Explicit expressions are derived relating the L-moments and the input from experimental data. The sample L-moments are developed from a linear combination of ordered sequence of the data and consequently the high order L-moments, i.e. L-skewness and L-kurtosis, are less biased than the corresponding ordinary moments. The L-moment definitions of the variance, skewness and kurtosis are numerically compared with values obtained using the more standard definitions for these parameters. Rigid hull measurements are compared with the compliant hull configuration for a mini-TLP model. The sea-states investigated include the relatively benign sea conditions off of West Africa and the more extreme sea environments of Gulf of Mexico.     

Processing method and governing parameters for horizontal wave impact loads on a semi-submersible

Semi-submersible platform has been widely used in offshore oil exploitation due to its excellent performance, but can be attacked by wave impact loads in extreme ocean environments. Determining wave impact loads accurately is of great significance to the design and operation of offshore structures. An experimental study was carried out to investigate the critical governing parameters for the horizontal wave impact loads on a semi-submersible. The wavelet denoising technique and the frequency response function method are employed successfully to remove the effect of noise and dynamic contamination from the experimental data. The strongly nonlinear characteristics of the wave impact load are demonstrated. The results show that wave impact events are governed by the upwell height and upwell velocity. Most major wave impact events occur where both the two parameters are large, and the upwell velocity is more dominant in the wave impact process. In general, larger parameters tend to result in larger peak pressures and higher probabilities of wave impacts. The motion behaviors of the platform are benefit to reduce the occurrence probabilities of wave impact events and maximum impact pressures, owing to the escape velocities following the wave direction and the rotations leading to the above-water structure away from the waves. The insights given in this study provide a motivation and foundation for developing a sophisticated prediction model of the wave impact load on floating platforms.     

多点系泊定位FDPSO船体水动力性能数值模拟和模型试验研究(英文)

由于中国南海海域海况十分恶劣,浮式钻井生产储油轮(FDPSO,Floating,Drilling,Production,Storage and Offloading vessel)定位方式的研究是海洋工程界值得关注的课题。文章采用数值模拟和模型试验的方法对多点系泊FDPSO水动力性能开展研究。数值模拟包括FDPSO船体频域水动力性能计算和船体/锚链时域耦合分析。船体频域水动力性能计算得到了水动力系数,波浪力和运动幅值响应算子;时域耦合数值分析得到了中国南海海域一年一遇海况和百年一遇海况下船体六自由度运动时历。模型试验在上海交通大学海洋工程深水池开展,包括静水衰减试验,白噪声试验和不规则波试验。对数值计算结果和模型试验结果进行了比较,验证了数值结果的准确性,并对多点系泊FDPSO在中国南海海域的水动力性能进行了研究。     

Numerical and experimental investigations into the application of response conditioned waves for long-term nonlinear analyses

The coefficient of contribution method, in which the extreme response is determined by considering only the few most important sea states, is an efficient way to do nonlinear long-term load analyses. To furthermore efficiently find the nonlinear short-term probability distributions of the vessel responses in these sea states, response conditioned wave methods can be used. Several researchers have studied the accuracy of response conditioned wave methods for this purpose. However, further investigations are necessary before these can become established tools. In this paper we investigate the accuracy by comparing the short-term probability distributions obtained from random irregular waves with those from response conditioned waves. We furthermore show how response conditioned wave methods can be fitted into a long-term response analysis. The numerical and experimental investigations were performed using a container vessel with a length between perpendiculars of 281 m. Numerical simulations were done with a nonlinear hydroelastic time domain code. Experiments were carried out with a flexible model of the vessel in the towing tank at the Marine Technology Centre in Trondheim. The focus was on the probability distributions of the midship vertical hogging bending moments in the sea states contributing most to the hogging moments with a mean return period of 20 years and 10 000 years. We found that the response conditioned wave methods can very efficiently be used to accurately determine the nonlinear short-term probability distributions for rigid hulls, but either accuracy or efficiency is to a large effect lost for flexible hulls, when slamming induced whipping responses are accounted for.