深水浮式平台垂荡运动与水下柔性立管涡激振动的动力耦合

基于有限元数值模拟,进行了"平台垂荡-顶张力立管涡激振动"整体系统的动响应数值模拟。动响应模型考虑了立管尾迹流场的水动力与结构动力的耦合和垂荡引起的立管结构刚度的时变特性;分析了平台垂荡运动的频率、模态阶数等因素对水下顶张力立管涡激振动的影响。数值结果表明:与不考虑平台运动相比,立管的动响应位移会增大;立管响应幅值随着模态阶数的降低而增大;在响应过程中,尤其对于低阶模态,会出现响应的模态转换现象。鉴于在平台垂荡和涡激振动的共同作用下,立管的动响应会大于涡激振动、参数激励分别单独作用的响应,建议在立管实际工程设计中应该考虑平台运动和涡激振动耦合激励作用下的结构动响应。     

涡激致顶张力立管双频参量共振研究

研究了涡激力作用导致顶张力立管基于双频激励的参量共振机理。随着海洋油气开发走向深水,参量共振成为深海立管设计面临的挑战之一。立管系统一旦发生参量共振,将因应力过大或疲劳损伤而发生破坏,造成油气泄漏从而带来环境污染和重大经济损失。顶张力立管受涡激力作用产生横向运动,引起轴向张力波动,满足一定条件时,立管将发生参量共振。目前研究多以单频外激励探讨立管的马修不稳定性,而实际激励为多频叠加,因此双频外激励被提出并被应用于对立管参量稳定性的探讨。研究建立了顶张力立管非线性耦合的运动方程,并推导了多频激励马修方程,采用布勃诺夫-伽辽金法求解有阻尼马修方程,对比分析了单频和双频激励对顶张力立管参量稳定性的影响,探讨了双频激励马修方程设计深海顶张力立管参量稳定性的应用。研究表明:涡激致顶张力立管产生轴向应力波动,进而导致立管系统发生参量共振的现象值得设计人员关注;此外,实际工程设计中激励函数的选取,对被研究系统参量稳定性特性以及阻尼特性的预测具有决定性影响。     

浮式平台横荡运动对水下柔性立管涡激振动的影响

由于深水浮式平台的运动幅度较固定式平台增大,其运动与下部立管的动力耦合变得更加明显。研究了上部平台运动对水下立管涡激振动的影响,基于有限元数值模拟,建立了与结构运动耦合的立管尾迹流场的涡激升力、流体阻力模型,进行了"平台运动-立管涡激振动"整体系统的动响应数值模拟,分析了平台横荡运动的幅值、频率等因素对水下立管涡激振动的影响。结果表明,上部平台的振动会在沿着立管展向传播的过程中被放大(称为响应放大);与不考虑平台运动相比,立管的动响应位移增大了多倍,而且振幅放大倍数随着模态阶数的降低而增大;平台横荡振幅越大,立管振动幅值也越大,但是振幅放大倍数的变化不明显。     

质量比对柔性立管涡激振动影响实验研究

质量比是影响海洋立管涡激振动的一个重要因素.通过在室内物理实验中使立管模型内部分别充填空气、水和沙来改变立管的质量比,从而研究质量比对柔性细长立管涡激振动的影响.实验结果表明:在相同流速下,质量比大的立管模型所激起的模态更高.在低约化速度区域,空管和水管的涡激振动响应频率与涡脱落频率相同,沙管的响应频率则与自振频率更接近,三种质量比立管的响应位移较接近;在高约化速度区域,三种质量比的立管模型的响应频率处于自振频率和涡脱落频率之间,但空管的响应频率随约化速度的增大而不断增大,同一流速下,质量比大的立管模型响应位移小,其中空管的涡激振动响应一直处于大振幅的锁定状态下.共振区域对应约化速度的范围随着质量比增大而减小.     

在平台振荡条件下TLP张力腿的涡激非线性响应

给出了预测张力腿涡激横向振动的时域分析,考虑了波浪、海流、张力腿平台的横漂与垂荡诸因素.张力腿平台的垂荡引起张力周期性变化,对张力腿的涡激横向振动起参数激励的作用,使其动力响应更为复杂.讨论了参数激励下涡激响应的共振条件;以尾流振子模型为基础,发展了分析张力腿在动张力作用下的涡激振动的工程方法,并分析了一座TLP实例,给出了在横漂周期内张力腿上质点的相对位移、弯矩、剪力幅值的时间历程.结果表明,平台垂荡使张力腿的涡激响应幅值升高、高频成分增加,因此它对张力腿的疲劳设计是重要的.     

海洋立管试验支座设计及其对涡激振动影响研究

针对大长细比顶张力立管内外流共同作用时涡激振动的试验研究,考虑端部铰接和固接两种边界条件,设计了可施加张力和内流的铰接支座和固接支座,并对两种支座进行数值模拟及受力分析,最后用于深水立管的涡激振动试验。立管模型材料采用6.2 m长铜管,外径20 mm,壁厚1.5 mm,分别支撑在铰接支座和固接支座上,施加不同的顶部张力、外流流速和内流流速。通过在立管表面粘贴光纤光栅应变计获得动态应变数据,分别从动态响应幅值、频率等方面对不同边界条件立管的试验数据进行对比分析,得出在顶张力、内流速相同的情况下,外流速相等时两端铰接立管的振动幅值大于两端固接立管,随着外流速的增加,两端铰接立管比两端固接立管率先发生锁振现象。     

三根附属控制杆对海洋立管涡激振动抑制作用实验研究

海洋立管的涡激振动会严重影响立管结构的使用寿命.通过室内水槽实验研究在立管模型周围等分布置三根附属控制杆来减小立管涡激振动响应的新型抑制措施.实验中观测了0.24 m/s、0.31 m/s、0.37 m/s以及0.44 m/s四种均匀流和两个极限来流方向下的涡激振动抑制效果.实验结果表明:三根附属控制杆抑制措施可明显降低立管模型的横向振动幅值,但对主管的振动频率改变不大;同时,这一抑制措施对来流方向有较强的适应性,避免了以往单根控制杆在流向发生改变时可能加剧立管涡激振动的弊端.     

深海顶张紧式立管涡激振动疲劳可靠性研究

以深海顶端张紧式立管为研究对象,基于圆柱体受迫振荡实验数据和能量平衡原理预报立管涡激振动响应及其诱发的疲劳损伤度,各主要参数随机化,应用响应面法建立了涡激振动疲劳安全系数与极限状态方程关系,研究了疲劳安全系数对结构可靠性的影响,并分析了各随机变量的灵敏度。研究结果表明:1)随着疲劳安全系数的增大,结构失效概率逐渐减小,且失效概率的减小幅度随疲劳安全系数的增加而趋缓。疲劳安全系数SF无需超过20。2)增加疲劳安全系数SF可降低疲劳载荷不确定量B、S-N曲线参数A、顶张力、流速、外径和壁厚等立管及环境随机变量对结构涡激振动疲劳损伤可靠性的影响。3)立管各参数中,流速、外径和壁厚均值越大,立管结构安全度越低,顶张力对结构影响相反;各参数的标准差越大,结构可靠度越低。均值灵敏度由大到小依次为顶张力、流速、外径和壁厚,标准差灵敏度由大到小依次为流速、张力、外径和壁厚。4)壁厚对深海顶张紧式立管涡激振动所致疲劳损伤影响很小,可忽略其影响。研究成果可为深海顶张紧式立管涡激振动疲劳安全系数的选取提供参考。     

海洋立管涡激振动的研究现状、热点与展望

随着深海油气资源的开采,越来越多的研究者开始关注海洋立管的涡激振动问题.在海洋环境下,洋流是海洋立管的涡激振动的主要原因.当洋流流经立管时会在立管的两侧产生交替的泄涡,导致立管受到横流向和顺流向的脉动流体力.这被认为是海洋立管涡激振动的主要诱因.海洋立管的涡激振动是一个异常复杂的工程问题,它涉及许多科学上悬而未决的难题,如紊流、流动分离、分离点的漂移等等.此外,事先无法确定的立管的位置和立管与洋流之间的相互作用又大大增加了解决这一问题的难度.尽管近几十年里科学界在此方面做了大量的研究工作,一个能够准确、高效、经济地预报海洋立管涡激振动的方法仍然没有得到.即便如此,最近的研究工作依然在许多方面作出了突出的成就.首先介绍了涡激振动的背景知识和基础理论.随后,回顾了近年来海洋立管涡激振动方面的研究成果.接着,重点介绍了当前海洋立管涡激振动领域内的两个热点研究问题,即:在多大程度上立管的顺流向振动能够影响立管的横流向振动,以及尾流的三维效应是如何影响立管的涡激振动响应的.最近的研究发现,当结构与流体的质量比小于6时,顺流向振动能显著增大横流向振动的振幅.最近的研究还发现,立管尾流的三维特性和立管受到流体力的轴向相关度有密切关系.随着流动的发展(海流折合速度从0增加到12),立管尾流的三维特性发生变化,在初期,立管尾流的三维特性不明显,流体力的轴向相关度基本等于1,也就是说,流体力和立管的位移响应是同步的,因此能量不断地由海流向立管转移,导致立管的振幅不断增大.当海流折合速度大于6时,流体力的轴向相关度由1锐减到负值,此时,立管尾流的三维效应显著.最后针对今后海洋立管的涡激振动的研究提出一些建议.     

大长细比柔性杆件涡激振动实验

涡激振动(vortex-induced vibration,VIV)是导致深海细长柔性立管发生疲劳破坏的重要因素。采用实验观测手段研究了长细比为1 750的柔性立管多模态涡激振动特性。实验中,通过采用拖车拖拉立管模型在水池中匀速行进来模拟均匀流作用下的涡激振动响应。利用光纤光栅传感器测量立管模型在横流向(cross-flow,CF)和顺流向(in-line,IL)的应变,进而通过模态分解的方法,获得立管模型涡激振动的位移。在此基础上,研究了CF以及IL方向的响应频率、位移标准差的平均值和最大值等随流速的变化规律,并分析了立管模型上测点的运动轨迹及其影响因素。     

Internal Resonances for Heave, Roll and Pitch Modes of A Spar Platform Considering Wave and Vortex-Induced Loads in the Main Roll Resonance

We present a study of the nonlinear coupling internal resonance for the heave roll and pitch performance of a spar platform under the wave and vortex-induced loads when the ratio of the frequencies of heave, roll and pitch are approximately 2:1:1. In consideration of varying wet surface, the three DOFs nonlinear coupled equations are established for the spar platform under the effect of the first-order wave loads in the heave and pitch, and vortex-induced loads in the roll. By utilizing the method of multi-scales when the vortex-induced frequency is close to the natural roll frequency, the first-order perturbation solution is obtained analytically and further validated by the numerical integration. Sensitivity analysis is performed to understand the influence of the damping and the internal detuning parameter. Two cases with internal resonance are shown. The first case is that no saturation phenomenon exists under small vortex-induced loads. The first order perturbation solution illustrates that only the vortex-induced frequency motion in roll and the super-harmonic frequency motion in heave are excited. The second case is that the vortex-induced loads are large enough to excite the pitch and a saturation phenomenon in the heave mode follows. The results show that there is no steady response occurrence for some cases. For these cases chaos occurs and large amplitudes response can be induced by the vortex-induced excitation.     

Internal Resonances for Heave,Roll and Pitch Modes of A Spar Platform Considering Wave and Vortex-Induced Loads in the Main Roll Resonance

We present a study of the nonlinear coupling internal resonance for the heave roll and pitch performance of a spar platform under the wave and vortex-induced loads when the ratio of the frequencies of heave, roll and pitch are approximately 2:1:1. In consideration of varying wet surface, the three DOFs nonlinear coupled equations are established for the spar platform under the effect of the first-order wave loads in the heave and pitch, and vortexinduced loads in the roll. By utilizing the method of multi-scales when the vortex-induced frequency is close to the natural roll frequency, the first-order perturbation solution is obtained analytically and further validated by the numerical integration. Sensitivity analysis is performed to understand the influence of the damping and the internal detuning parameter. Two cases with internal resonance are shown. The first case is that no saturation phenomenon exists under small vortex-induced loads. The first order perturbation solution illustrates that only the vortex-induced frequency motion in roll and the super-harmonic frequency motion in heave are excited. The second case is that the vortex-induced loads are large enough to excite the pitch and a saturation phenomenon in the heave mode follows.The results show that there is no steady response occurrence for some cases. For these cases chaos occurs and large amplitudes response can be induced by the vortex-induced excitation.     

Analysis and prediction of vortex-induced vibrations of variable-tension vertical risers in linearly sheared currents

Many studies have tackled the problem of vortex-induced vibrations (VIV) of a vertical riser with a constant tension and placed in uniform currents. In this study, attention is focused on the cross-flow VIV modelling, time-domain analysis and prediction of variable-tension vertical risers in linearly sheared currents. The partial-differential equation governing the riser transverse motion is based on a flexural tensioned-beam model with typical pinned-pinned supports. The hydrodynamic excitation model describing the modulation of lift force is based on a distributed van der Pol wake oscillator whose nonlinear equation is also partial-differential due to the implementation of a diffusion term. The variation of empirical wake coefficients with system parameters and the water depth-dependent Reynolds number is introduced. Based on the assumed Fourier mode shape functions obtained by accounting for the effect of non-uniform tension, the Galerkin technique is utilized to construct a low-dimensional multi-mode model governing the coupled fluid-riser interaction system due to VIV. Numerical simulations in the case of varying sheared flow profiles are carried out to systematically evaluate riser nonlinear dynamics and highlight the influence of fluid-structure parameters along with associated VIV aspects. In particular, the effects of shear and tensioned-beam (tension versus bending) parameters are underlined. Some comparisons with published experimental results and observations are qualitatively and quantitatively discussed. Overall parametric analysis and prediction results may be worthwhile for being a new benchmark against future experimental testing and/or numerical results predicted by an alternative model and methodology.     

Nonplanar multi-modal vibrations of fluid-conveying risers under shear cross flows

Risers/pipes conveying fluid are a typical kind of slender structures commonly used in marine engineering. It is of great academic significance and application value for us to evaluate and understand the vibration characteristics and nonlinear responses of these risers under the combined action of internal and external fluid flows. In this paper, the nonplanar vibrations and multi-modal responses of pinned-pinned risers in shear cross flow are numerically studied. With this objective in mind, the van der Pol wake oscillators are used to simulate the dynamical behavior of the vortex shedding in the wake. Two nonlinear equations of motion of the riser are proposed to govern the lateral responses of the riser structure. The nonplanar nonlinear equations for the riser and wake are then discretized by employing Galerkin's method and solved by using a fourth-order Runge–Kutta integration algorithm. Theoretical results show that the coupled frequencies for cross-flow (CF) and in-line (IL) motions and the corresponding coupled damping ratio could be influenced by the external and/or internal fluid velocities. Based on extensive calculations, the dynamical behavior of the riser with various internal and external flow velocities are presented in the form of bifurcation diagrams, time traces, phase portraits, oscillation trajectories and response spectrum curves. It is shown that some interesting dynamical phenomena, such as ‘lock-in’ state, ‘figure-of-eight’ trajectory and quasi-periodic oscillation, could occur in such a fluid-structure interaction system. Our results also demonstrate that the shear parameter can significantly affect the dynamic responses of the riser. When the shear parameter of the cross flow is large, multi-modal quasi-periodic responses of the riser can be excited, showing some new features undetected in the system of fluid-conveying risers in uniform cross flow.     

Parametric Resonance Analyses for Spar Platform in Irregular Waves

The parametric instability of a spar platform in irregular waves is analyzed. Parametric resonance is a phenomenon that may occur when a mechanical system parameter varies over time. When it occurs, a spar platform will have excessive pitch motion and may capsize. Therefore, avoiding parametric resonance is an important design requirement. The traditional methodology includes only a prediction of the Mathieu stability with harmonic excitation in regular waves. However, real sea conditions are irregular, and it has been observed that parametric resonance also occurs in non-harmonic excitations. Thus, it is imperative to predict the parametric resonance of a spar platform in irregular waves. A Hill equation is derived in this work, which can be used to analyze the parametric resonance under multi-frequency excitations. The derived Hill equation for predicting the instability of a spar can include non-harmonic excitation and random phases. The stability charts for multi-frequency excitation in irregular waves are given and compared with that for single frequency excitation in regular waves. Simulations of the pitch dynamic responses are carried out to check the stability. Three-dimensional stability charts with various damping coefficients for irregular waves are also investigated. The results show that the stability property in irregular waves has notable differences compared with that in case of regular waves. In addition, using the Hill equation to obtain the stability chart is an effective method to predict the parametric instability of spar platforms. Moreover, some suggestions for designing spar platforms to avoid parametric resonance are presented, such as increasing the damping coefficient, using an appropriate RAO and increasing the metacentric height.     

Experimental study and numerical simulation on vortex-induced vibration of flexible riser

In order to study the effect of internal flow on vortex-induced vibration of flexible riser, the experiment on the vortex-induced vibration of flexible riser transporting fluid in the current was conducted in the physical oceanography laboratory of Ocean University of China. Considering the internal flowing fluid and external marine environment, the dynamic response of the flexible riser was measured. The corresponding numerical simulation was performed using the wake oscillatory model considering the extensibility of the riser system. Both the experiment and the numerical simulation indicated that with the increase of internal flow speed, the response amplitude increases, while the response frequency decreases.     

Numerical Prediction of Vortex Induced Vibrations on Top Tensioned Riser in Consideration of Internal Flow

In consideration of the effect of the internal flowing fluid and the external marine environmental condition on the vortex-induced vibration （VIV） of top tensioned riser （Till）, the differential equation is derived based on work-energy principles and the riser near wake dynamics is modeled by Facchinetti＇ s wake oscillator model. Then Galerkin＇ s finite element approximation is implemented to derive the nonlinear matrix equation of the coupled equations and file corresponding numerical programs are compiled which solve the coupled equations directly in the time domain. The comparison of the predicted results with the recent experimental results and the prediction of SHEAR7 is performed. The results show the validity of the proposed method on the prediction of VIV of deep water risers. The effect of internal flow on the dynamic characteristics and dynmnic response of the riser is analyzed and several valuable conelusions are drawn.     

Numerical Prediction of Vortex-Induced Vibrations on Top Tensioned Riser in Consideration of Internal Flow

In consideration of the effect of the internal flowing fluid and the external marine environmental condition on the vortex-induced vibration (VIV) of top tensioned riser (TTR), the differential equation is derived based on work-energy principles and the riser near wake dynamics is modeled by Facchinetti''s wake oscillator model.Then Galerkin''s finite element approximation is implemented to derive the nonlinear matrix equation of the coupled equations and the corresponding numerical programs are compiled which solve the coupled equations directly in the timedomain. The comparison of the predicted results with the recent experimental results and the prediction of SHEAR7is performed. The results show the validity of the proposed method on the prediction of VIV of deep water risers.The effect of internal flow on the dynamic characteristics and dynamic response of the riser is analyzed and severalvaluable conclusions are drawn.     

Numerical Simulation of Self-Excited and Forced Vibrating Circular Cylinders in Current

Numerical simulations of a low-mass-damping circular cylinder which can oscillate freely at transverse and streamwise directions are presented in this work. The Navier-Stokes equations are solved with finite volume method, and large eddy simulation of vortex is also performed in the calculation. In order to implement dynamic mesh, overlapping grids are generated to lessen the computation for mesh field itself. Self-excited vibrations are firstly calculated to obtain the average amplitudes and frequencies of the target circular cylinder in the current flow situation, and then forced oscillations are implemented with parameters obtained in vortex-induced vibrations previously. With slight amplitude modulation, time series of displacements in vortex-induced vibrations are essentially harmonic. Regarding the fluid force, which are larger in forced oscillations than those in corresponding self-excited cases because the fluid subtracts energy from the forced cylinders. The phase angles between forces and displacements are 0o and 180o for self-excited case and forced case respectively. In vortex-induced vibrations, the interactions between fluid and structure produce some weakly energetic vortices which induce the modulations of amplitude and frequency.