表面粗糙度对立管涡激振动响应影响的试验研究

应用模型试验的方法,研究了表面粗糙度对立管涡激振动响应特性的影响规律,对不同粗糙度条件下立管所受拖曳力、升力、端部张力、漩涡泄放频率、结构振动响应频率、位移响应等参数的变化规律进行了对比分析。结果表明：与立管横向振动相比,立管流向振动更早出现锁定现象,因此当折合速度较低时,立管流向振动的涡激振动响应要大于横向振动。立管张力均存在两个峰值频率,其中一个峰值频率为主导频率,与拖曳力主导频率吻合,由流向涡激振动所产生;另一个峰值频率为主导频率的一半,与升力主导频率吻合,由横向涡激振动所产生。因此可以看出：横向涡激振动与流向涡激振动通过张力作用而相互影响。与光滑立管相比,表面粗糙度降低了立管的涡激振动位移响应,减小了涡激振动的锁定区域,但提高了漩涡泄放频率。对于不同粗糙度下的粗糙立管,随着粗糙度的增加,立管的锁定区域开始点逐渐提前,锁定结束点逐渐推迟,锁定区域逐渐变宽。     

Effect of surface roughness and initial gap on the vortex-induced vibrations of a freely vibrating cylinder in the vicinity of a plane wall

We studied the effects of the surface roughness and initial gap on the responses of vortex-induced vibration (VIV) of a circular cylinder near a stationary plane wall, employing numerical methods. The VIV response amplitudes, lock-in regions, hydrodynamic forces, VIV trajectories and flow fields for three different surface roughnesses and two different initial gaps were systematically compared. The results reveal that the reduced velocity range can be divided into three regions based on the VIV amplitude as pre-lock-in, lock-in, and post-lock-in regions. The width of the lock-in region is not sensitive to the variation of the roughness. The mean drag coefficient has a decreasing tendency with the increased roughness. For a small initial gap, the clockwise wall boundary layer vortices has coalesced with the clockwise vortices shed from the upper side of the cylinder, which further suppresses the shedding of the counter-clock wise vortices from the lower side of the cylinder. The vortex shedding flow pattern displays a weak 2S mode. However, for a large initial gap, there is no coalescing action operating in the wake region and hence most of the vortex shedding flow patterns show an asymmetric 2S mode.     

Development of a renewable energy system utilizing vortex induced vibration of a cylinder and principle of leverage aiming for application in deep sea

This study carried out an experiment to develop a renewable energy system utilizing vortex induced vibration (VIV) that can drive generators even in weak flow conditions. In our experimental setup, the translation motions of a cylinder undergoing VIV and a linear-type generator (coil and magnet) are connected through a rotational machinery, which enables us to apply the principle of leverage, leading to power generation even by small excitation force acting on the cylinder. The measurement shows that the present system performs optimally under the lock-in and upper branch conditions, and that there exists an optimum length of the lever of electromagnetic moment on a center of the rotation. Efficiencies of primary (from flows to the VIV) and secondary (from the VIV to electricity) energy conversions are estimated to show that the primary one is not enough high. We thus propose a few directions to improve it.     

Two degree of freedom flow-induced vibration of cylindrical structures in marine environments: frequency ratio effects

The flow-induced vibration of a cylindrical structure is a very common problem in marine environments such as undersea pipelines, offshore risers, and cables. In this study, the vortex-induced vibration (VIV) of an elastically mounted cylinder at a low Reynolds number is simulated by a transient coupled fluid–structure interaction numerical model. Considering VIV with low damping ratio, the response, hydrodynamic forces, and vortex shedding modes of the cylinder is systematically analyzed and summed up the universal rule under different frequency ratios. On the basis of the analysis, we find that the frequency ratio α is a very important parameter. It decides the locked-in, beat, and phase-switch phenomena of the cylinder, meanwhile, it also influence the vortex mode of the cylinder. The trajectory of the two degrees of freedom (2 DOF) case at different natural frequency ratios is discussed, with most trajectories having a “figure of 8” shape and a few having a “crescent” shape. A fast Fourier transformation technique is used to obtain the frequency characteristics of the vibration of the cylindrical structure. Using the 2 DOF cylinder model in place of the 1 DOF model presents several advantages in simulating the nonlinear characteristics of cylindrical structures, including the capacity to model the crosswise vibration generated by in-line vibration.     

关于二维平面圆柱涡激振动的数值模拟

利用有限元软件Adina建立平面二维圆柱绕流的数值模型,模拟低雷诺数条件下流体与圆柱间的涡激振动。随着流速加大,圆柱振动经历非锁定一锁定一脱离锁定的过程,由于锁定形态下圆柱振动与尾涡脱落引起的流体力形成共振,使圆柱的振幅增大。仅考虑圆柱顺流向振动时,横流向振幅略有增加;同时考虑圆柱在平面内的旋转和顺流向振动时,横流向振幅显著增加、锁定区间加宽,且质量比越低变化就越明显。     

弹性支撑低质量比圆柱涡激振动数值模拟

近年来,随着深海石油工业的发展,立管的涡激振动现象越来越受学者们关注.使用RANS方程求解器,并结合SST κ-ω湍流模型,对横向和流向自然频率比为1的低质量比弹性支撑圆柱体的两自由度运动进行了数值模拟,计算雷诺数范围为5 300至32 000.采用四阶Runge-Kutta方法求解柱体的振动方程.并结合近期物理实验结果对升力系数、阻力系数、位移和尾涡模式进行了详细比较和讨论.较好地再现了试验观察到的锁定、迟滞、差拍等现象.     

An experimental investigation by towing tank on VIV of a long flexible cylinder for deepwater riser application

In this study, the dynamic response of a vertical flexible cylinder vibrating at low mode numbers with combined x?y motion was investigated in a towing tank. The uniform flow was simulated by towing the flexible cylinder along the tank in still water; therefore, the turbulence intensity of the free flow was negligible in obtaining more reliable results. A lower branch of dominant frequencies with micro vibration amplitude was found in both cross-flow and in-line directions. This justifiable discrepancy was likely caused by an initial lock-in. The maximum attainable amplitude, modal analysis and x?y trajectory in cross-flow and in-line directions are reported here and compared with previous literature, along with some good agreements and different observations that were obtained from the study. Drag and lift coefficients are also evaluated by making use of a generalized integral transform technique approach, yielding an alternative method to study fluid force acting upon a flexible cylinder.     

Vortex-induced vibrations of piggyback pipelines near the horizontal plane wall in the upper transition regime

Slender subsea structures like pipelines, jumpers and umbilicals when exposed to currents may experience vortex-induced vibrations (VIV), which can shorten their fatigue life and increase the risk of structural failure. In the present study, flow around different configurations of a piggyback pipeline close to a flat seabed has been investigated using the two-dimensional (2D) Unsteady Reynolds-Averaged Navier Stokes (URANS) equations with the k − ω Shear Stress Transport (SST) turbulence model. The Reynolds number (based on the free stream velocity and large cylinder diameter) is equal 3.6 × 10⁶ corresponding to upper-transition regime. The drag forces acting on the cylinders and base pressure coefficient value are well predicted by the present simulations, while the other hydrodynamic quantities (root-mean-square lift coefficient, Strouhal number) are predicted reasonably well as compared to published experimental data. The piggyback pipeline in the present study is modeled as two circular cylinders with a diameter ratio d/D = 0.2 (D denoting diameter of the large cylinder, d is diameter of the small cylinder). These two cylinders are clamped together at a distance G/D = 0.2. The two rigidly coupled cylinders are elastically supported and free to vibrate in two degrees of freedom. The effects on the vibration amplitudes and hydrodynamic forces are analyzed. The flow structures around the cylinders are investigated to explain the variations in observed structural responses. Depending on the angular position (α) of the small cylinder, the lock-in regime is narrower (α = 0°) or significantly wider (α = 180°) when compared to that of a single cylinder.     

参激振动对顺应式垂直通路立管涡激振动的影响

顺应式垂直通路立管(CVAR)是目前处于研究阶段的一种新型的立管类型,在海流作用下产生涡激振动,在平台垂荡运动作用下产生参数激励振动。为了研究参数激励的影响,本文引入尾流振子模型模拟漩涡脱落对立管的作用,同时考虑浮式平台升沉运动产生的参数激励,建立了CVAR参激-涡激联合振动方程,获取联合作用下的动力响应,并与纯涡激振动响应进行对比。结果表明,在相同的流速下CVAR中部涡激振动幅值最大,流速的增大会导致涡激振动的频率增大,发生高阶锁振,高阶锁振振动幅值比低阶锁振振动幅值小。考虑参数激励之后,较纯涡激振动而言,立管的振动幅值增大;当参激频率与涡激振动频率接近时,立管的振动幅值最大。     

Fatigue damage analysis of the deepwater riser from VIV using pseudo-excitation method

The fatigue damage of a long deepwater riser undergoing in-line and cross-flow vortex-induced vibration (VIV) in deepwater is numerically studied using pseudo-excitation method (PEM) in present paper. For evaluating the fluid–structure interaction problem of vortex-induced vibration of deepwater riser at high Reynolds number, the strip theory is employed in this paper, and the discrete vortex method (DVM) is used to calculate the VIV of each strip to obtain the load spectrum as the pseudo-excitation, while the finite volume method (FVM) is employed to evaluate the structure dynamics of a deepwater riser. The VIV is considered as a stationary random process. The response of riser to vortex induced excitation is calculated using pseudo-excitation method. The DVM model and pseudo-excitation method are both validated by comparing their numerical results with experiments. The fatigue damage of one deepwater riser is evaluated based on the Palmgren–Miner Rule.     

Fatigue damage from time domain simulation of combined in-line and cross-flow vortex-induced vibrations

A semi-empirical method for time domain simulation of vortex-induced vibrations (VIV) is used to calculate the in-line and cross-flow fatigue damage of a tensioned riser in uniform and sheared flow. Simulations are run for flow velocities ranging from 0.3 m/s to 2.4 m/s, and a detailed comparison with experimental observations is performed. Results are reported in terms of dominating frequency, mode of vibration and mean of r.m.s. of displacement, as well as fatigue damage distribution along the length of the structure and maximum fatigue damage rates for each case. Fatigue damage is calculated by rainflow counting of the strain time series together with an idealized S–N curve with slope m = 3. The results show that the model reproduces the measured fatigue damage with a satisfactory level of realism, using a consistent set of parameters. This indicates that the model is usable for calculation of riser VIV fatigue damage in various current conditions, assuming the Reynolds number is in the subcritical range.     

Effect of internal flow on vortex-induced vibration dynamics of a flexible mining riser in external shear current

Vortex-induced vibration (VIV) of flexible risers with both internal and external flows has received much attention recently. Hence, VIV dynamics of a fluid-conveying flexible riser subjected to external shear current is investigated. The effect of internal flow velocity and fluid density on VIV response is mainly examined and analyzed. A time domain model is introduced and elaborated. Then the finite element method is adopted to discretize the governing equations. Firstly, the model is validated based on the comparison between the numerical and experimental results. Then the influence of the internal flow velocity and fluid density on VIV dynamics is studied. The results show that multi-frequency response occurs when the flexible riser with various internal flow velocities and densities is subjected to external shear current. Under same shear current velocity, the IL mean deflection is enlarged with the increase of the internal flow velocity and fluid density. In addition, the internal flow velocity and fluid density have an evident effect on the vibrating frequency and the root mean square (RMS) displacement in both in-line (IL) and cross-flow (CF) directions. Moreover, mode and frequency transitions can be observed under different internal flow velocities and fluid densities.     

附属分离盘抑制圆柱涡激振动的数值模拟

基于动网格技术，编写UDF程序计算附属不同长度分离盘的圆柱双自由度涡激振动，并借助FLUENT软件模拟计算其周围流场。通过模拟计算不同长度附属分离盘的圆柱涡激振动，系统地对比分析其所受升阻力系数、振动响应、尾流涡形态、运动轨迹和频率特征等方面内容，并总结其一般规律。分析发现，添加合适长度的分离盘可以大大降低涡泄频率，有助于避开“锁定”区域，降低涡激振动的响应，同时还应该注意附属分离盘带来的多频和宽频振动特征。该数值模拟方法也为附属抑制装置的立管涡激振动数值模拟奠定了基础。降低，当约化速度Ur=5.5附近，分离盘长度越长，升阻力系数与振动响应越小。（2）添加附属分离盘后，裸圆柱所对应的双排尾流涡将变为单排尾流涡；随着分离盘长度增大，涡泄的位置往后推移，与此同时，分离盘的两侧逐渐出现一组次漩涡（分离盘上产生的漩涡）；分离盘长度L=0.5D时，因其未能完全阻隔上下两侧漩涡的相互作用，并将一侧漩涡切分为二，与另一侧漩涡在尾流形成2P形态的涡。（3）附属分离盘长度的增加使得圆柱振动范围不断缩小，但会造成多频的振动特征，而且还有效地改变来流向响应与横向响应的相位角。（4）添加附属分离盘后，一方面圆柱阻力的主频率明显降低，而且主频率所对应的功率谱密度也明显降低，说明分离盘能降低来流向的振动频率与振动强度，但会造成附属分离盘的圆柱阻力表现为多频、宽频的振动特征；另一方面添加附属分离盘的圆柱升力频率明显降低，但同样会造成多频和宽频的振动特征。总的来说，添加合适长度的分离盘可以大大降低涡泄频率，有助于避开“锁定”区域，降低涡激振动的响应，同时还应该注意附属分离盘带来的多频和宽频振动特征。本文的数值模拟方法也为附属抑制装置的立管涡激振动数值模拟奠定基础。     

不同质量比对刚性圆柱体涡激振动振幅的影响

涡激振动发电装置是一种能够捕获浅海区域低流速海流能的新型能源装置,为了在不同海况下均能高效地对能量进行转换,需要对振动参数进行探讨,因此本文对质量比在振动响应和能量方面进行了分析。结合尾流振子模型和结构振动模型,得到双自由度涡激振动耦合模型,将Stappenbelt实验设置输入该模型,模型计算结果与其实验结果吻合,验证了模型的正确性。通过对中低质量比、超低质量比和高质量比三种条件下的柱体涡激振动响应进行分析,结果表明：中低质量比条件下,振幅和频率锁定区间宽度随质量比增加而减小;超低质量比条件下,顺流向无量纲振幅接近1,无法忽略,双向最大振幅发生约化速度Ur=6附近;高质量比条件下,最大振幅所对应的约化速度随着质量比的增加而增加,顺流向第二次波峰消失,横向出现两次波峰。     

Fatigue damage induced by vortex-induced vibrations in oscillatory flow

Vortex-induced vibration (VIV) of a flexible cylinder in oscillatory flow was experimentally investigated in an ocean basin. An intermittent VIV was confirmed to have occurred during the tests. The fatigue damage caused by VIV was calculated based on rainflow counting and a standard S–N curve. There are 3 main observations for fatigue damage from VIV in oscillatory flow: 1) the damage varied significantly with the KC number, which is a unique feature for VIV in oscillatory flow. 2) Fatigue damage at small KC number cases was found to be larger compared to those at large KC numbers owing to the fact that number of vortex shedding cycles per half of the motion cycle is low, and damping within half of the motion cycle will hence become low. The fact that vortices from the previous cycle still are active during the next may also contribute to the large response at small KC numbers. 3) ‘Amplitude modulation’ and ‘mode transition’, two specific features for VIV in oscillatory flow, were found to have a strong influence on fatigue. Fatigue damage has also been calculated by an empirical VIV prediction model assuming that all cases have steady flow at an equivalent velocity. Finally, a simplified method for calculating fatigue damage from VIV in oscillatory flow based on steady flow conditions is proposed. A modification factor diagram is presented, but the scope of the present study is too limited to provide a good basis for a general model for this factor. A general model for how to apply results from constant current analysis to predict fatigue in oscillatory flow will therefore need further research.     

低质量-阻尼因子圆柱体的涡激振动预报模型

本文考查了在均匀来流中作横向振荡的圆柱体与周围流体之间的能量转移,由此建立了基于受迫振荡实验数据的弹性支撑圆柱体在均匀流中的涡激振动响应预报模型.根据此模型,分析了低质量-阻尼因子圆柱体的涡激振动响应特性.就水中圆柱体涡激振动响应特性相关的几个关键性问题进行了深入的讨论,包括响应振幅的决定因素、附加质量对锁定范围及响应频率的影响.正确理解这些问题对于深水立管涡激振动响应的有效预报至关重要.     

质量比和阻尼比对高阻尼涡激振动的影响

涡激振动水生能源是一种可在低流速条件下利用水中涡激振动现象从周围流场中提取水流动能的新兴可再生清洁能源技术,其能量转换装置在进行能量传递和转换过程中会对涡激振动系统引入较高的阻尼,使其不同于以往研究较多的低阻尼涡激振动系统。文章建立了一个单自由度涡激振动模型,模型采用受迫振动实验得到的流体力数据,通过迭代求解涡激振动能量转换装置的动力响应,进而计算系统转换功率。通过对质量比m*和阻尼比ζ等重要参数对涡激振动响应及能量转换效率影响的细致研究,揭示出:频率锁定的发生及较大能量转换效率的无量纲流速范围主要受质量比控制;最大能量转换效率主要受质量—阻尼参数m*ζ控制,并且存在一个最优值;出现最大能量转换效率的无量纲流速与m*ζ有关,在m*ζ0.2的范围内出现最大能量转换效率的无量纲流速随质量比和阻尼比的变化而变化,而在0.2m*ζ0.7的范围内与阻尼比无关,主要取决于质量比。     

Three-dimensional vortex-induced vibrations of a circular cylinder predicted using a wake oscillator model

This paper reports a numerical study based on a wake oscillator model, to determine the three-dimensional vortex-induced vibration (VIV) responses on a flexible cylinder with pinned-pinned boundary conditions subjected to a uniform flow. Four different aspect ratios have been selected for the study. The coupling equations of the structural oscillator models and wake oscillator models in both the cross-flow (CF) and in-line (IL) directions have been solved using a standard central difference method of the second order. The structural displacement, structural frequency, response wave pattern, response trajectory, and lift force coefficient, for four aspect ratios, have been compared. The numerical results establish that, for a small aspect ratio, the CF displacements have absolute standing wave behaviors without travelling wave behaviors, and the IL displacements have dominant standing wave behaviors with slight travelling wave behaviors. Further, the VIV trajectory is repeatable and displays figure-eight shapes. However, for a large aspect ratio, the CF displacements display identical characteristics with the IL displacements for a small aspect ratio, and the IL displacements for a large aspect ratio are simultaneously dominated by standing and travelling wave behaviors. Moreover, the VIV trajectory is apparently aperiodic and shows chaotic shapes.     

Vortex-induced vibration (VIV) dynamics of a tensioned flexible cylinder subjected to uniform cross-flow

This paper presents the experimental results of a study on the effects of axial applied tension on the vibration amplitude, the suppression of vibration, hydrodynamic force coefficients and in-line (IL) and cross-flow (CF) frequency responses during vortex-induced vibration of a horizontally mounted flexible cylinder with a low mass ratio (cylinder’s mass/mass of displaced water), low bending-stiffness, and high aspect ratio (length/diameter 200) in the subcritical Reynolds number regime (Re = 1000–16000). The effect of tension is studied by applying four different tensions. It was revealed that higher applied tensions, which reduce the vibration amplitude, could significantly raise the hydrodynamic lift force coefficient. In addition, higher applied tensions generate narrower lock-in bandwidths. After the highest vibration amplitude and during the region of lower vibration amplitudes, within the first lock-in region (in the first mode of vibration), power spectral densities show broad bandwidth, while within other regions and higher modes they appear narrow-banded. The ratio of the dominant IL to CF frequency is approximately equal to 2.0, except for the lower reduced velocities, where the ratio values reach 3.83 for the highest tension accompanied by widening of the region in which this ratio is over 2.0. This ratio is 2.76 for the lowest applied tension with a narrower region.     

新型升沉补偿试验系统的仿真设计

为能更准确地对波浪升沉补偿系统进行研究,设计一种基于数字液压技术的新型试验系统,采用Stewart平台结构模拟船舶的六自由度运动,以数字液压缸作为驱动器对重物升沉进行补偿。在LabVIEW仿真环境下运用广义预测与PID控制策略,实现了对升沉补偿试验系统的设计。结果表明,该系统仿真相似度高,方便取得各种工况下的试验数据。