海洋钢悬链线立管振动响应与疲劳预测

doi:10.11885/j.issn.1674-5086.2020.10.25.02

摘要/Abstract

摘要： 涡激振动是引发立管疲劳损伤的关键诱因之一。基于Van Der Pol尾流振子方程，研究了不同长度两端铰接的钢悬链线立管在相同来流流量不同剖面剪切来流作用下的涡激振动响应。采用二阶中心差分法对时域和空间域的耦合方程组进行了求解，并采用雨流计数法对立管的疲劳寿命进行了预测。结果表明，立管振动沿轴向传播呈驻波和行波的混合模式，随立管长度的增加，振动响应由驻波主导转变为行波主导。受剪切来流剖面的影响，立管振动响应呈现多频特性，行波自立管的顶部向底部传播，且其传播速率随来流剪切程度及立管长度而变化。随剪切程度的增强，立管从流体中获得的能量减少，能耗增加，振动位移减少。相同来流剖面时，随着水深的增加，立管疲劳损伤增加；而水深相同时，随来流剪切程度的增加，疲劳损伤逐渐增大。

关键词: 涡激振动, 钢悬链线立管, Van Der Pol尾流振子, 雨流计数法, 疲劳损伤

Abstract: Vortex-induced vibration (VIV) is a main factor contributing to the fatigue damage of marine risers. With the aid of Van Der Pol wake oscillator model, the present paper investigates the VIV of pinned-pinned steel catenary risers of different lengths subjected to different shear-flow profiles with the same flow rate. The second-order central difference method is employed to solve the coupled equations in both time and space domain, and the rain flow counting method is used to predict the fatigue life. The vibration presents a blended pattern of standing wave and traveling wave for the response propagation along the span. The vibration shifts from the standing-wave dominated response to the traveling-wave dominated one with the increase of the riser length. The riser experiences multi-frequency oscillation due to the influence of shear flow, and the traveling wave propagates from the riser top to its bottom. Furthermore, the propagation rate of traveling wave varies with the shear degree of flow profile and the riser length. The riser extracts less energy from ambient flow as the shear degree increases, while the energy consumption grows, resulting in the reduction of response amplitude. The fatigue damage is aggravated with the water depth at the same incoming flow profile. The same result is observed as the shear degree of flow profile increases at the same water depth.

Key words: vortex-induced vibration, steel catenary riser, Van Der Pol wake oscillator, rain flow counting method, fatigue damage

中图分类号:

TE973

朱红钧, 丁志奇, 高岳, 赵宏磊, 胡洁. 海洋钢悬链线立管振动响应与疲劳预测[J]. 西南石油大学学报(自然科学版), 2023, 45(1): 163-179.

ZHU Hongjun, DING Zhiqi, GAO Yue, ZHAO Honglei, HU Jie. Vibration Response and Fatigue Prediction of Marine Steel Catenary Risers[J]. Journal of Southwest Petroleum University(Science & Technology Edition), 2023, 45(1): 163-179.

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参考文献

[1] 高云,付世晓,杨家栋,等. 细长柔性立管涡激振动疲劳损伤分析[J]. 上海交通大学学报,2016,50(8):1270-1277. doi:10.16183/j.cnki.jsjtu.2016.08.021 GAO Yun, FU Shixiao, YANG Jiadong, et al. Fatigue damage analysis of vortex-induced vibration of a long flexible riser[J]. Journal of Shanghai Jiao Tong University, 2016, 50(8):1270-1277. doi:10.16183/j.cnki.jsjtu.2016.08.021
[2] 骆正山,车朝阳. 基于TVR的腐蚀油气管道失效概率及安全寿命研究[J]. 中国安全生产科学技术,2018,14(9):95-99. doi:10.11731/j.issn.1673-193x.2018.09.015 LUO Zhengshan, CHE Chaoyang. Research on failure probability and safe life of corroded oil and gas pipelines based on TVR[J]. Journal of Safety Science and Technology, 2018, 14(9):95-99. doi:10.11731/j.issn.1673193x.2018.09.015
[3] BISHOP R E D, HASSAN A Y. The lift and drag forces on a circular cylinder oscillating in a flowing fluid[J]. The Royal Society, 1964, 277:51-75.
[4] HARTLEN R T, CURRIE I G. Lift oscillator model of vortex-induced vibration[J]. Journal of Engineering Mechanics Division, 1972, 98(1):577-591. doi:10.1061/JMCEA3.0001562
[5] SKOP R A, GRIFFIN O M. A model for the vortex-excited resonant response of bluff cylinders[J]. Journal of Sound and Vibration, 1973, 27(2):225-233.
[6] IWAN W D. The vortex-induced oscillation of non-uniform structural systems[J]. Journal of Sound and Vibration, 1981, 79(2):291-301.
[7] LANDL R. A mathematical model for vortex-excited vibrations of bluff bodies[J]. Journal of Sound and Vibration, 1975, 42(2):219-234.
[8] SKOP R A, BALASUBRAMANIAN S. A new twist on an old model for vortex-excited vibrations[J]. Journal of Fluids and Structures, 1997, 11(4):395-412.
[9] KRENK S, NIELSEN S R K. Energy balanced double oscillator model vortex-induced vibrations[J]. Journal of Engineering Mechanics, 1999, 125(3):263-271.
[10] FACCHINETTI M L, DE LANGRE E, BIOLLEY F. Coupling of structure and wake oscillators in vortex-induced vibrations[J]. Journal of Fluids and Structures, 2004, 19:123-140. doi:10.1016/j.jfluidstructs.2003.12.004
[11] OGINK R H M, METRIKINE A V. A wake oscillator with frequency dependent coupling for the modeling of vortex-induced vibration[J]. Journal of Sound and Vibration, 2010, 329(26):5452-5473. doi:10.1016/j.jsv.2010.07.008
[12] FARSHIDIANGAR A, ZANGANEH H. A modified wake oscillator model for vortex-induced vibration of circular cylinders for a wide range of mass-damping ratio[J]. Journal of Fluids and Structures, 2010, 26(3):430-441. doi:10.1016/j.jfluidstructs.2009.11.005
[13] SRINIL N, ZANGANEH H. Modelling of coupled cross-flow/in-line vortex-induced vibrations using double duffing and van der pol oscillators[J]. Ocean Engineering, 2012, 53:83-97. doi:10.1016/j.oceaneng.2012.06.025
[14] JIN Yiming, DONG Ping. A novel wake oscillator model for simulation of cross-flow vortex induced vibrations of a circular cylinder close to a plane boundary[J]. Ocean Engineering, 2016, 117:57-62. doi:10.1016/j.oceaneng.2016.03.057
[15] MATHELIN L, LANGRE E. Vortex-induced vibrations and waves under shear flow with a wake oscillator model[J]. European Journal of Mechanics B/Fluids, 2005, 24:478-490. doi:10.1016/j.euromechflu.2004.12.005
[16] VIOLETTE R, LANGRE E, SZYDLOWSKI J. Computation of vortex-induced vibrations of long structures using a wake oscillator model:Comparison with DNS and experiments[J]. Computers and Structures, 2007, 85:1134-1141. doi:10.1016/j.compstruc.2006.08.005
[17] GAO Yun, ZONG Zhi, ZOU Li, et al. Vortex-induced vibrations and waves of along circular cylinder predicted using a wake oscillator model[J]. Ocean Engineering, 2018, 156:294-305. doi:10.1016/j.oceaneng.2018.03.034
[18] MENG Dan, CHEN Liang. Nonlinear free vibrations and vortex-induced vibrations of fluid-conveying steel catenary riser[J]. Applied Ocean Research, 2012, 34:52-67. doi:10.1016/j.apor.2011.10.002
[19] VICKERY B J, WATKINS R D. Flow-induced vibration of cylindrical structures[C]. Perth:Proceedings of the First Australian Conference, University of Western Australia, 1962.
[20] KING R. Vortex excited oscillations of yawed circular cylinders[J]. Journal of Fluids Engineering, 1977, 99:495-501.
[21] GRIFFIN O M. Vortex-excited cross-flow vibrations of a single cylindrical tube[J]. Transactions of the ASME, 1980, 102:158-166.
[22] VANDIVER J K, JAISWAL V, JHINGRAN V. Insights on vortex-induced, travelling waves on long risers[J]. Journal of Fluids and Structures, 2009, 25:641-653. doi:10.1016/j.jfluidstructs.2008.11.005
[23] LIE H, KAASEN K E. Modal analysis of measurements from a large-scale VIV model test of a riser in linearly sheared flow[J]. Journal of Fluids and Structures, 2006, 22:557-575. doi:10.1016/j.jfluidstructs.2006.01.002
[24] SONG Jining, LU Lin, TENG Bin, et al. Laboratory tests of vortex-induced vibrations of a long flexible riser pipe subjected to uniform flow[J]. Ocean Engineering, 2011, 38:1308-1322. doi:10.1016/j.oceaneng.2011.05.020
[25] 万德成,端木玉. 深海细长柔性立管涡激振动数值分析方法研究进展[J]. 力学季刊,2017,38(2):179-196. doi:10.15959/j.cnki.0254-0053.2017.02.001 WAN Decheng, DUAN Muyu. A recent review of numerical studies on vortex-induced vibrations of long slender flexible risers in deep sea[J]. Chinese Quarterly of Mechanics, 2017, 38(2):179-196. doi:10.15959/j.cnki.0254-0053.2017.02.001
[26] BOURGUET R, GEORGE E K, MICHAEL S T. Vortex-induced vibrations of a long flexible cylinder in shear flow[J]. Journal of Fluid Mechanics, 2011, 667:342-382. doi:10.1017/jfm.2011.90
[27] QU Yang, METRIKINE A V. Modelling of coupled cross-flow and in-line vortex-induced vibrations of flexible cylindrical structures. Part II:On the importance of in-line coupling[J]. Nonlinear Dynamics, 2020, 103:3083-3112. doi:10.1007/s11071-020-06027-1
[28] NEWMAN D J, KARNIADAKIS G E. A direct numerical simulation study of flow past a freely vibrating cable[J]. Journal of Fluid Mechanics, 1997, 344:95-136.
[29] XU Hongxiang, TANG Wenyong, QU Xue. Prediction and analysis of fatigue damage due to cross-flow and in-line VIV for marine risers in non-uniform current[J]. Ocean Engineering, 2014, 83(2):52-62. doi:10.1016/j.oceaneng.2014.03.023