Numerical prediction of the modal response of flexible cylinders in cross-flow with a current dependent form of damping

A quadratic eigenvalue problem (QEP) was posed in order to study the dynamics of flexible cylinders in cross-flow, simulating slender offshore structures such as risers, catenaries or tendons. The Euler–Bernoulli equation was used to model the structure assuming a fluid loading model, and yielding a quadratic eigenvalue problem that included a form of damping dependent not only on the structural damping itself, but also on the free stream velocity and the fluid force coefficients. We solved the QEP using the finite element method. We also derived a simplified analytical solution in this work for comparison with the QEP, however this solution does not consider changes in tension along the length of the cylinder as the QEP does. In our study, the QEP solutions were first validated against the simplified analytical solution, and also against a well-known experimental dataset obtained in 2003, in which a flexible circular cylinder model was used to model the dynamics of a riser undergoing multi-mode vortex-induced vibrations.     

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。     

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.     

细长海洋立管涡激振动预报模型

涡激振动预报对于深水环境中的细长海洋结构物的设计至关重要.近年来出现的若干经验模型基于圆柱体受追振荡实验数据.文中介绍了细长海洋结构物涡激振动预报工具的发展,进而提出了一种基于圆柱体受迫振荡实验数据的预报模型.与现有的类似模型相比较,该模型更加直接地利用了原始模型实验数据,并且将立管的有限元模态分析并入到响应预报当中,以计及立管物理参数的不均匀特性.利用近期立管模型在阶梯状分布流以及剪切流中的涡激振动响应实验测量数据,验证了该模型的有效性.该模型的计算结果表明,立管的模态振型、模态频率与涡激振动响应高度耦合,并且对于低质量比的情况尤为明显.文中还指出了类似的基于受迫振荡圆柱体实验数据的预报模型存在的缺陷.     

考虑内流和海床作用的柔性立管和钢悬链线立管非线性分析(英文)

Flexible risers and steel catenary risers often provide unique riser solutions for today’s deepwater field development. Accurate analysis of these slender structures, in which there are high-speed HP/HT internal flows, is critical to ensure personnel and asset safety. In this study, a special global coordinate-based FEM rod model was adopted to identify and quantify the effects of internal flow and hydrostatic pressure on both flexible and deepwater steel catenary risers, with emphasis on the latter. By incorporating internal flow induced forces into the model, it was found that the internal flow contributes a new term to the effective tension expression. For flexible risers in shallow water, internal flow and hydrostatic pressure made virtually no change to effective tension by merely altering the riser wall tension. In deep water the internal pressure wielded a dominant role in governing the riser effective tension and furthering the static configuration, while the effect of inflow velocity was negligible. With respect to the riser seabed interaction, both the seabed support and friction effect were considered, with the former modeled by a nonlinear quadratic spring, allowing for a consistent derivation of the tangent stiffness matrix. The presented application examples show that the nonlinear quadratic spring is, when using the catenary solution as an initial static profile, an efficient way to model the quasi-Winkler-type elastic seabed foundation in this finite element scheme.     

内流对顶张力立管动力响应影响分析

文章分析了内流对顶张力立管在波浪和海流激励下的动力响应的影响.考虑内部流动流体的动能采用功能原理建立了立管的运动控制方程.然后采用伽辽金有限元法得到了非线性矩阵方程,并在时域内编制了相应的求解程序.最后对立管的动力特性和动力响应进行了详细分析,主要分析了内流等对其的影响.结果发现内流对动力响应有重大影响,其影响在分析中不可忽略.     

Numerical analysis of vortex-induced vibration on a flexible cantilever riser for deep-sea mining system

The flexible cantilever riser, as a special form of the marine riser, can be encountered in a deep-sea mining system, where the bottom of the long vertical lifting pipeline is connected with the intermediate warehouse. The main objective of this paper is to investigate the effects of the bottom weight caused by the intermediate warehouse and the flow speed on the dynamic responses of the cantilever pipeline. A quasi-3D coupling algorithm based on the discrete vortex method and finite element method is employed to calculate the unsteady hydrodynamic forces and vortex-induced vibrations of this pipeline in the time domain, respectively. We first simulate the VIV of a long flexible riser with two fixed ends in a stepped flow to validate the feasibility of the present method. Then, systematic simulations of cross-flow VIV of the cantilever riser are carried out under a wide range of bottom weights and different current speeds. The number of the vibration mode shows the decreasing tendency with the increase of the bottom weight. In a certain range of the weight, the number of the dominant mode remains unchanged, while the vibration amplitude declines with increasing weight. An amplitude jump phenomenon can be observed when the transition of the dominant mode in two contiguous mode clusters occurs. Moreover, the higher-order modes are excited with the increase of the current speed.     

平台运动影响下张力腿涡激振动特性研究

张力腿涡激振动易引起系泊系统的疲劳损伤,危害张力腿平台的安全性和可靠性。该文借鉴细长立管涡激振动的相关研究,同时考虑张力腿与立管在截面尺度、预张力大小以及边界条件存在的巨大差距,采用切片理论结合CFD数值模拟方法,对平台运动影响下张力腿涡激振动开展了研究。考虑定常张力与时变张力对涡激振动的影响,采用GAMBIT软件分区建立了多切片计算网格,将编制求解涡激振动的UDF程序嵌入Fluent软件中,采用动网格技术实现流场的更新并计算作用于张力腿上的瞬时升力和拖曳力。文中还比较了仅考虑流和考虑浪、流联合作用张力腿的时变张力影响,研究了两种典型波高共计六种工况,计算结果表明：随着流速的增加,各模态权重比例将发生跳转现象;尽管由于平台运动导致张力腿受力的随机性,但平台运动对张力腿涡激振动影响较小。     

Riser-soil interaction model effects on the dynamic behavior of a steel catenary riser

A mathematical model employed to analyze the global dynamics of a Steel Catenary Riser (SCR) taking into account the interaction with the seafloor and the effect of the soil reaction forces is established. The choice of soil model plays an important role for the dynamic behavior of SCRs. The riser has been modeled using flexible beam with large curvature and elastic foundation beam to describe the riser-soil interaction by means of realistic nonlinear load-deflection (P–y) curves. The study is made to improve an existing finite element numerical code for dynamic analysis of mooring lines and risers, known as CABLE 3D, which is based on a slender rod assumption. Effects of nonlinear seabed model on the dynamic behavior of SCRs under vessel cyclic perturbation have further been investigated and discussed using a realistic P–y curve to simulate soil deformation and resistance forces. The interaction model depends on several factors, such as soil strength, penetration depth and riser characteristics. The dynamic responses of the riser Touchdown Point (TDP) excited by vessel periodic heave motion are studied and the results are compared with those from the linear spring model. SCR has been perturbed by 10 regular sinusoidal cycles and the responses calculated by improved code show a number of features such as suction force mobilization, gradual increasing penetration depth, and gradual reduction of soil resistance at maximum penetration. The riser behavior at the touchdown zone (TDZ) depends on the riser top motion amplitude, nonlinear soil stiffness and suction force. The impact of the riser-soil interaction model on the dynamic behavior in the TDZ has been thoroughly studied in this paper.     

顶部张紧式立管强度设计分析

顶部张紧式立管(TTR)是油气开发必不可少的立管类型。研究了南海1500m水深半潜式干树深水平台TTR的概念设计,提出新的管中管结构的等效方法。通过分析立管结构的受力控制方程,得到立管受力分析的主要影响参数,按照轴向刚度、抗弯刚度、立管湿重和液体湿重等效原则,实现立管力学性质的等效。使用Orca Flex软件非线性时域分析立管遭受的四种典型工况,分别获得张力和弯矩,依据管中管结构外管和内管的刚度在等效模型中占的比例进行分配,根据API规范确定管中管结构外管和内管的应力,得到TTR四种工况下的强度分析结果,认为在半潜平台下,TTR强度满足设计要求。     

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.     

计及海底井口影响的隔水管涡激振动响应特性试验

在靠近海底井口位置,隔水管周围流场受井口系统的影响发生变化,流固耦合下涡激振动可能诱发隔水管在横流向(CF方向)更为剧烈的振动。为了研究受管土装置影响的隔水管涡激振动响应特性,使用自主设计的管土装置模拟海底井口,采用8 m柔性立管,进行了均匀流下单管和受管土装置影响的涡激振动对比试验。试验通过FBG光纤应变片测得应变信息,使用模态叠加法、FFT变换处理分析试验数据,对比分析2组隔水管的主导频率、应变时历与幅值谱、无因次振幅以及激励力系数等参数沿管径的分布情况。结果发现管土装置影响下,隔水管主导频率减小;CF方向涡激振动增大,振幅沿径向呈非对称特征;涡激振动振幅更大,隔水管受流场的激励与阻尼更为剧烈。     

顶张式立管液压气动式张紧器的模拟方法

综合考虑液压气柱的张力-冲程非线性关系、液压气柱与立管之间的夹角以及平台-张紧器-立管之间的耦合关系,研究顶张式立管液压气动式张紧器的不同模拟分析方法。选取3种典型工况,对不同张紧器模拟方法下立管的动态响应进行仿真计算,分析比较不同模拟方法的科学性和适用性。结果表明:在顶张式立管分析过程中,张紧器的合理模拟至关重要,是否考虑液压气柱和立管之间的夹角对立管响应的影响不大;恒定集中力模型不能反映立管张力的变化规律,而且立管响应也存在较大差别,故不宜采用;线性模型可用于平台运动幅值较小的情况;非线性模型最能反映张紧器的刚度特性,且在极端载荷环境下尤为适用。     

张紧器的结构参数对顶张式立管动力响应的影响研究

本文针对带液压气动式张紧器的顶张式立管,综合考虑浮式平台-张紧器-立管之间的运动关系、液压气柱的张力-冲程非线性关系、立管的真实截面布置以及采油树的作用,建立更加符合工程实际的三维有限元分析模型,并通过与实验结果对比验证了该模型的正确性。基于该有限元模型,研究了张紧器的结构参数对顶张式立管动力响应的影响。结果表明:活塞和活塞杆的直径以及高压气体的初始压强对立管的动力响应影响最大;低压气体的初始压强以及液压气柱和立管之间的夹角对立管的动力响应也有重要影响;在相同的环境条件下,高压气体和低压气体的初始体积对立管的动力响应的影响较小。     

干涉对海洋立管涡激振动影响实验研究

文章进行了干涉对海洋立管涡激振动影响的实验研究,实验分为立管前后排列和并肩排列两部分。立管间距为3~10倍直径,模型材料采用有机玻璃,长1.5 m,外径18 mm,壁厚2 mm,边界条件均为铰接,外流速分别从0.3~0.8 m/s,每级增加0.1 m/s。通过在立管表面粘贴应变计获得动态应变数据,分别从立管的横向动态响应、振幅、频率等方面对前后排列、并肩排列立管以及和单独立管的实验数据进行对比研究。结果表明,当有外流通过时,立管会受到其他立管尾流的影响,漩涡脱落引起的振动由于间距及排列方式的不同而显著不同,使得立管的动力特性、动力响应以及漩涡的脱落形式同单个立管相比均有较大的变化。     

平台运动下悬链线立管涡激振动响应特性分析

悬链线立管会在半潜平台运动带动下出现涡激振动现象,对立管疲劳寿命造成影响.借助海工结构物动力分析软件Orcaflex建立立管模型,使用Iwan-Blevins尾流振子模型进行数值模拟.通过与试验结果对比验证了该方法的可行性.同时建立实尺度悬链线立管模型,并考虑背景海流的影响,分析平台垂荡、纵荡运动下的立管涡激振动响应和疲劳损伤.研究表明,平台运动产生的非定常流场将引起悬链线立管发生涡激振动现象,并在背景洋流激励的基础上增大疲劳损伤,在立管结构实际工程设计时应予以关注.     

基于受迫振动实验的柔性立管的VIV响应预报

涡激振动响应预报对于深水海洋结构物的设计是非常重要的。近年来，基于圆柱体的受迫振荡实验数据提出了若干经验模型。针对潘志远提出的一种基于实验数据并且与立管的有限元模态分析有机结合的VIV预报模型，采用近期的一个阶梯状分布来流下的涡激振动响应实验测量数据，验证了该模型的有效性和局限性。     

细长海洋结构物涡激振动研究综述

随着世界范围内深海石油开采的需要,近年来关于海洋结构物涡激振动的研究越来越受到重视.虽然此问题在数值模拟和实验方面都已取得了一定的进展,但是还有许多问题尚待解决.同时,新型海洋结构物的引入给涡激振动的预报方法和抑振手段提出了新的挑战.因此,细长海洋结构物的涡激振动仍将是未来几年里备受关注的研究课题.本文在介绍有关涡激振动基本概念和理论背景的基础上,总结了近年来关于以深水立管为代表的海洋结构物涡激振动的研究与进展,包括对现有涡激振动分析工具的分类与评估;对柱体及海洋结构物涡激振动的实验研究;对深水立管与涡激振动相关的疲劳评估准则的研究;海洋结构物的横向、流向及轴向涡激振动的耦合作用研究;关于海洋结构物涡激振动的抑振措施和设备的理论及实验研究.本文着重介绍了计算流体力学方法在海洋结构物涡激振动研究中的应用和进展.最后,对海洋结构物涡激振动相关的研究热点的现状进行了总结并对今后工作提出了展望.     

Numerical study on the effect of current profiles on vortex-induced vibrations in a top-tension riser

In this paper, numerical simulations of vortex-induced vibrations in a vertical top-tension riser with a length-to-diameter ratio of 500 using our in-house code viv-FOAM-SJTU are presented. The time-dependent hydrodynamic forces on two-dimensional strips are obtained by solving the Navier-Stokes equations, which are, in turn, integrated into a finite-element structural model to obtain the riser deflections. The riser is discretized into 80 elements with its two ends set as pinned and 20 strips are located equidistant along the risers. Flow and structure are coupled by hydrodynamic forces and structural displacements. In order to study the effects of the shear rate, of the current profiles on the vortex-induced vibrations in the riser, vibrations, with varying shear rates, in both the in-line and cross-flow directions, are simulated. In addition to the time domain analysis, spectral analysis was conducted in both the temporal and spatial domains. Multi-mode vibration characteristics were observed in the riser. The relationship between dominant vibration mode number and the shear rate of current profiles is discussed. In general, the overall vibrations in the riser pipe include contributions from several modes and each mode persists over a range of shear rates. Moreover, the results suggest that with a larger shear rate the position of the maximum in-line time-averaged displacement will move closer to the end where the largest velocity is located.     

顶张力对深水刚性立管涡激振动及疲劳损伤的影响

分析讨论顶张力对深水刚性立管在剪切流中的涡激振动响应和疲劳损伤的影响。从理论上分析张力对刚性立管固有特性的影响,并利用OrcaFlex软件建立数值模型,模拟不同顶张力系数下立管于剪切流中的涡激振动响应,同时采用S-N曲线法计算立管疲劳损伤。结果表明,顶张力对立管的影响直接体现在刚度上,立管刚度随着张力的增大而增大,因此顶张力对降低立管疲劳损伤有一定积极作用。但是随着顶张力的增大,其对降低疲劳损伤的贡献越来越小,而对立管强度储备的危害却逐渐增大。