低雷诺数下圆柱涡激振动的二维有限元数值模拟

采用有限元方法求解原始变量的二维不可压粘性流体的N-S方程,计算了雷诺数从90到150范围内圆柱绕流引起的涡激振动,完整地再现了流固耦合系统从不共振到频率锁定,再到脱离锁定的过程,成功地预测到了涡激振动的“拍”和“锁定”现象,并与A nagnostopou los和B earam an的试验结果进行了比较。计算涡激振动时用ALE方法分析圆柱和流体的耦合作用,圆柱振动被简化为质量-弹簧-阻尼系统。     

圆柱涡激振动研究进展与展望

圆柱涡激振动广泛存在于机械工程、海洋工程等诸多领域,研究者们取得了许多研究成果,而系统综述圆柱涡激振动的论文距今已近10 a,因此,有必要对近10 a的研究进展进行系统分析。文中系统地总结了近10 a圆柱涡激振动研究成果,阐述了圆柱涡激振动的尾流模态和其对应的响应分支之间的因果关系,分析了影响圆柱涡激振动的关键因素(如质量比、阻尼比和雷诺数)对涡激振动响应的影响,介绍了圆柱涡激振动最大响应振幅的曲线拟合公式及其局限性,最后对圆柱涡激振动的研究方向提出建议。     

不同运动自由度组合串列双圆柱涡激振动数值模拟

基于自主研发的紧致插值曲线CIP (Constrained Interpolation Profile)方法数学模型,对均匀来流条件时不同运动自由度组合下的串列双圆柱涡激振动问题开展二维数值模拟。模型针对雷诺数Re=100,质量比m*=2的串列双圆柱涡激振动问题,选取上、下游圆柱不同运动自由度组合工况进行模拟。重点分析圆柱的升阻力系数、运动位移随折合速度Ur变化的响应。研究表明:当上游圆柱双自由度运动时,随着下游圆柱运动自由度的增加,下游圆柱对上游圆柱涡激振动响应的影响减弱;当下游圆柱双自由度运动时,随着上游圆柱运动自由度的增加,上游圆柱对下游圆柱涡激振动响应的影响变强。研究结果表明圆柱运动自由度组合形式对串列双圆柱涡激振动的影响不可忽略。     

单自由度圆柱涡激振动特性及其影响因素分析

对二维刚性圆柱涡激振动进行了系统理论和数值模拟研究,对比了不同因素下圆柱振幅、锁定区间、升阻力系数等关键参数和特征,探究了影响圆柱涡激振动特性的因素。通过线性化分析推导出了锁定区间柱体响应的频率比、振幅与流体荷载和系统物性参数之间的定性关系。为检验理论分析结果,对相关经典实验的结果进行了整理,并用RANS模型开展了相应的数值模拟。理论分析、实验和数值模拟三者的结论相符,可以确认以下结论:当圆柱处在锁定状态时,其振幅大小由组合因子决定。组合因子越小,圆柱的振幅越大,反之则越小,但是组合因子对振幅的影响幅度有限;柱体锁定区间范围的大小由质量比决定,质量比越小,锁定范围越大,反之则越小,质量比对锁定区间范围的大小有显著影响,影响的主要范围是在约化速度较大一端。     

不同浸没长度下串列双立管涡激振动数值模拟

深海柔性立管涡激振动问题广受关注,其中多立管涡激振动较传统单立管涡激振动更为复杂。使用基于Open FOAM自主开发的深海柔性立管流固耦合求解器viv-FOAM-SJTU,对阶梯流中串列双立管涡激振动展开研究。首先针对阶梯流中串列双立管模型试验工况开展验证计算,下游立管的位移响应以及频率响应与试验结果基本吻合;而后改变立管浸没长度,分别选取浸没长度为0.4L(工况1)、0.55L(工况2)以及0.7L(工况3)的三种工况进行数值计算,其中L为立管长度。数值结果表明:3种浸没长度下,上下游立管的横流向振动均为一阶模态,且工况2和工况3中上下游立管的横流向位移均方根均大于工况1;上下游立管的顺流向主振模态在工况2和工况3中均为二阶,而在工况1中为一阶,且下游立管在工况2和工况3中的顺流向振动均表现出明显的多模态振动特性。     

二维圆柱涡激振动数值模拟中湍流模式适用性的探讨

采用RANS结合4种湍流模型对低质量比单自由度涡激振动进行数值模拟,对比分析其对该问题的适用性。用四阶Runge-Kutta法离散运动方程,基于动网格技术处理圆柱振荡引起的网格运动,并对壁面条件的处理进行了细致分析。根据Williamson水槽实验,从振幅比、频率比响应、水动力系数及相位突变、尾涡模式等方面对比分析了4种模型的性能和表现,结果表明Standardκ-ω模型与实验差异较大;目前本类研究中运用较少的Realizableκ-ε模型也是可以适用于涡激振动计算的;κ-ω系列模型得到的最大振幅(0.55D)小于κ-ε系列模型的结果(0.87D);SSTκ-ω模型以及2种κ-ε模型都反映出锁定区振动频率fex与泄涡频率fst分离,其中SSTκ-ω模型较为接近实验结果;尾涡模式上,SSTκ-ω模型在各个分支与实验结果一致;总之,各种模型针对不同物理现象各有优势和缺陷。     

防振锤对深水导管架圆管风致涡激振动抑制研究

研究了阻尼防振锤对深水导管架圆管风致涡激振动的抑制。建立了防振锤动力学模型,分析了防振锤的动力学特性;将在建深水导管架圆管简化为固支梁,建立了结构有限元模型,通过瞬态分析计算了圆管的振动幅值;在圆管中部添加防振锤,分析了防振锤对圆管振动的抑制效果;进行了现场测试,对比了数值模拟和实际测试管道的振动响应。研究表明,文中设计的防振锤可以有效地抑制圆管的涡激共振;数值模拟结果与测试结果非常接近,验证了数值分析方法的有效性。     

潮流能转换装置串列双圆柱下游圆柱流致振动数值模拟

针对双振子流致振动潮流能转换装置,基于ADINA软件对上游圆柱固定、下游圆柱横向振动的串列双圆柱流致振动,在不同工况下进行了数值模拟,并与文献和试验结果进行了对比分析,验证了该模拟方法的正确性并分析了不同因素(间距L=1.5 D~8.0 D、流速v=0.4~0.75m/s及相应流速v下的雷诺数Re=2.88×10~4~5.76×10~4)对下游圆柱流致振动的影响。结果表明,圆柱间距影响双振子尾流模式和下游振子振动形式;间距L=5 D~7 D范围内下游振子达到最大振幅,比单圆柱涡激振动增大50%。     

海洋工程中双柔性圆柱流激振动响应特性

海洋立管、海底管线和浮式平台系泊缆等柔性圆柱结构的流激振动会造成严重的疲劳损伤。目前,关于单根柔性圆柱流激振动的研究较多。为研究多根柔性圆柱系统的流激振动特性,开展了双柔性圆柱流激振动的模型试验。采用模态分析法将试验测量应变转化为位移。通过分析双柔性圆柱在并列、串列和交错排布方式下的响应位移、控制频率,揭示了双柔性圆柱的流激振动特性。研究结果表明:柔性圆柱并列排布时,两圆柱的相互作用使结构顺流向位移增大;柔性圆柱串列排布时,受遮蔽效应的影响,下游圆柱控制模态较低。由于柔性圆柱的多模态响应特性,"锁频"区后下游圆柱的位移并未显著增大;柔性圆柱交错排布时,下游圆柱发生"Wake-flutter",横流向和顺流向的控制频率接近,顺流向的位移显著增大。     

不同节点布置下二维涡激振动的无单元法参数化分析

尝试建立1种基于无单元法的涡激振动数值模拟算法,并给出适用于涡激振动分析的前处理自动布点方法.基于无单元法理论,使用动最小二乘法构造形函数,利用无单元伽辽金法,采用速度和压力分离模式,及手工布点和自动布点2种方法所得出的节点布置形式,对流场控制方程进行空间离散,模拟二维涡激振动的流场形态,并对VIV相关参数进行分析,计算不同节点布置情况下的升力系数(Cl)、曳力系数(Cd)及斯特罗哈数(St),并与物理模型实验结果进行对比.计算结果表明,无单元伽辽金法应用于立管VIV分析是可行的,且文中采用2种布点方法均能较好的模拟流场中泻涡脱落的形态,计算结果与传统方法和物理模型实验结果吻合良好.证明文中2种布点方法都能用于固定圆柱的二维VIV分析,但自动布点法能够更好地适用于复杂问题的计算及圆柱体在流场中的VIV动力响应分析.     

The validity of the independence principle applied to the vortex-induced vibration of an inclined cylinder in steady flow

The validity of the independence principle applied to the vortex-induced vibration (VIV) of an inclined cylinder in steady flow is investigated by conducting numerical simulations. In order to create a perfect end-effect-free condition, periodic boundary condition is applied on the two end boundaries that are perpendicular to the cylinder. It is found that the response amplitude and frequency for an inclination angle of α = 45° agree well with their counterparts for α = 0°. The numerical results demonstrated the validity of the independence principle in the case of vortex-induced vibration, which has not been demonstrated by laboratory tests due to the difficulty in avoiding the end effects.     

Physical Modeling and Parametric Study on Two-Degree-of-Freedom VIV of A Cylinder near Rigid Wall

Unlike most previous studies on the transverse vortex-induced vibration(VIV) of a cylinder mainly under the wallfree condition (Williamson & Govardhan,2004),this paper experimentally investigates the vortex-induced vibration of a cylinder with two degrees of freedom near a rigid wall exposed to steady flow.The amplitude and frequency responses of the cylinder are discussed.The lee wake flow patterns of the cylinder undergoing VIV were visualized by employing the hydrogen bubble technique.The effects of the gap-to-diameter ratio (e0/D) and the mass ratio on the vibration amplitude and frequency are analyzed.Comparisons of VIV response of the cylinder are made between one degree (only transverse) and two degrees of freedom (streamwise and transverse) and those between the present study and previous ones.The experimental observation indicates that there are two types of streamwise vibration,i.e.the first streamwise vibration (FSV) with small amplitude and the second streamwise vibration (SSV) which coexists with transverse vibration.The vortex shedding pattem for the FSV is approximately symmetric and that for the SSV is alternate.The first streamwise vibration tends to disappear with the decrease of e0/D.For the case of large gap-to-diameter ratios (e.g.e0/D = 0.54～1.58),the maximum amplitudes of the second streamwise vibration and transverse one increase with the increasing gapto-diameter ratio.But for the case of small gap-to-diameter ratios (e.g.e0/D = 0.16,0.23),the vibration amplitude of the cylinder increases slowly at the initial stage (i.e.at small reduced velocity V,),and across the maximum amplitude it decreases quickly at the last stage (i.e.at large Vr).Within the range ofthe examined small mass ratio (m＜4),both streamwise and transverse vibration amplitude of the cylinder decrease with the increase of mass ratio for the fixed value of V,.The vibration range (in terms of Vr ) tends to widen with the decrease of the mass ratio.In the second streamwise vibration region,the vibration frequency of the cylinder with a small mass ratio (e.g.mx = 1.44) undergoes a jump at a certain Vr,.The maximum amplitudes of the transverse vibration for two-degree-of-freedom case is larger than that for one-degree-of-freedom case,but the transverse vibration frequency of the cylinder with two degrees of freedom is lower than that with one degree of freedom (transverse).     

On splitter plate coverage for suppression of vortex-induced vibrations of flexible cylinders

Experimental results show how vortex-induced vibration (VIV) amplitudes of flexible cylinders can be reduced up to a 90% by covering less than half of the length of the cylinder with splitter plates elastically mounted to the surface of the cylinder.The VIV amplitude reduction takes place along with drag coefficient reductions of up to a 50% for the reduced velocities investigated.     

Behavior of vortex-induced vibration of a circular cylinder near a deformable wall with two degrees of freedom in steady flow

The behavior of vortex-induced vibration of a two-degree-of-freedom cylinder near a deformable wall in steady flow is investigated experimentally.The typical phenomenon of the two-degree-of-freedom cylinder’s VIV is discussed.The influences of initial gap between the cylinder and the wall on the dynamic responses of the cylinder are analyzed.The comparison is made about dynamic responses of the cylinder with one and two degrees of freedom.Experimental results show that the vibration of the cylinder near a deformable wall with a small value of initial gap-to-diameter ratios can generally be divided into two phases.The initial gap-to-diameter ratios have a noticeable influence on the occurrence of transverse vibration.The transverse maximum amplitude of the cylinder with two degrees of freedom is larger than that of the cylinder with one degree of freedom under the condition with the same values of other parameters.However,the vibration frequency of the cylinder for the two degrees of freedom case is smaller than that for the one degree of freedom case at the same value of Vr number.     

Experiments with flexible shrouds to reduce the vortex-induced vibration of a cylinder with low mass and damping

Experiments employing a low-mass-damping cylinder have been conducted to determine the vortex-induced vibration (VIV) response of four suppressors of the flexible-shroud family. The VIV suppressors were inspired in the concept of the Ventilated Trousers (VT), a flexible shroud composed of a flexible net fitted with three-dimensional bobbins. Reynolds number varied between 5 × 10³ and 25 × 10³, while reduced velocity varied from 2 to 26. The VIV dynamic response showed that the VT suppressed the peak amplitude of vibration down to 40% of that of a bare cylinder. Other flexible shrouds also achieved suppression, but not as efficiently. Drag was reduced during the VIV synchronization range, but remained above the value for a bare static cylinder thereafter. Spectral analysis of displacement and lift revealed that, depending on the geometry and distribution of the bobbins, the flexible shroud can develop an unstable behavior, capturing energy from the wake and sustaining vibrations for higher reduced velocities. PIV measurements of the wake revealed that the entrainment flow through the mesh is necessary to extend the vortex-formation length of the wake; this mechanism only occurs for the VT mesh.     

陡波形立管涡激振动疲劳损伤参数敏感性分析

基于柔性杆理论和尾流振子模型计算陡波形立管的涡激振动响应;综合使用S-N曲线法、雨流计数法、Palmgren-Miner线性累积疲劳理论对立管涡激振动导致的疲劳损伤进行计算分析。并以MATLAB为平台编写相应计算程序,将本文计算得到的静力分析结果、固有频率和疲劳损伤分别与专业海工计算软件OrcaFlex和已发表文献进行对比验证。进一步对陡波形立管在涡激振动下的疲劳损伤进行参数敏感性分析,结果表明:浮子段长度、浮力因子、弹性模量、海流速度、波浪高度对陡波形立管疲劳损伤均有较大影响,有望为陡波形立管的实际工程设计提供参考。     

Application of Helical Strakes for Suppressing the Flow-Induced Vibration of Two Side-by-Side Long Flexible Cylinders

Helical strakes have been widely applied for suppressing the vibration of flexible cylinders undergoing vortexshedding in offshore engineering. However, most research works have concerned on the application of helical strakes for the isolated flexible cylinder subjected to vortex-induced vibration(VIV). The effectiveness of helical strakes attached to side-by-side flexible cylinders in vibration reduction is still unclear. In this paper, the response characteristics of two side-by-side flexible cylinders with and without helical strakes were experimentally investigated in a towing tank. The configuration of the helical strakes used in the experiment had a pitch of 17.5D and a height of 0.25D(where D is the cylinder diameter), which is usually considered the most effective for VIV suppression of isolated marine risers and tendons. The center-to-center distance of the two cylinders was 3.0D. The uniform flow with a velocity ranging from 0.05 m/s to 1.0 m/s was generated by towing the cylinder models along the tank. Experimental results, including the displacement amplitude, the dominant frequency, the dominant mode,and the mean drag force coefficient, were summarized and discussed. For the case where only one cylinder in the two-cylinder system had helical strakes, the experimental results indicated that helical strakes can remarkably reduce the flow-induced vibration(FIV) of the staked cylinder. For the case of two straked cylinders in a side-by-side arrangement, it was found that the performance of helical strakes in suppressing the FIV is as good as that for the isolated cylinder.     

Variation of Added Mass and Its Application to the Calculation of Amplitude Response for A Circular Cylinder

In the present study,analyzed are the variation of added mass for a circular cylinder in the lock-in(synchronization) range of vortex-induced vibration(VIV) and the relationship between added mass and natural frequency.A theoretical minimum value of the added mass coefficient for a circular cylinder at lock-in is given.Developed are semi-empirical formulas for the added mass of a circular cylinder at lock-in as a function of flow speed and mass ratio.A comparison between experiments and numerical simulations shows that the semi-empirical formulas describing the variation of the added mass for a circular cylinder at lock-in are better than the ideal added mass.In addition,computation models such as the wake oscillator model using the present formulas can predict the amplitude response of a circular cylinder at lock-in more accurately than those using the ideal added mass.     

Experimental Study on Vortex-Induced Vibrations of Submarine Pipeline near Seabed Boundary in Ocean Currents

1 .IntroductionThe submarine pipeline is a commonfacility widely usedfor offshore oil and gastransport . Whena pipeline is installed on a seabed and not buried,unsupportedspans may exist insomelocations ,es-peciallyinthe uneven zones of the seabed.The spa…