深海顶张力立管涡激振动响应及参数影响
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摘要
综合考虑立管顺流向及横流向的耦合运动,基于van der Pol理论建立深海顶张力立管涡激振动分析模型,采用有限单元法及Newmark-β法编程求解。利用所建模型对深海实尺寸顶张力钻井立管非锁频工况下的涡激振动响应及参数影响进行分析,结果表明:立管两向均表现为高阶、多模态振动形式,顺流向振动最大峰值频率约为横流向的2倍;相比均匀流,剪切流下立管振动位移及参与振动模态数均增加,立管振动主控模态发生变化;海流流速及顶张力的变化改变了立管振动位移、参与振动模态数及主控模态;随着立管外径增加,立管振动最大峰值频率及参与振动模态数均不断减小,立管振动位移变化较小。
An analysis model based on the van der Pol theory is established to analyze the vortex-induced vibration response of deep sea top tensioned riser. The coupled vibration of the in-line and cross-flow directions of the riser is considered in the model. The finite element and Newmark-β methods are used to calculate riser vibration response. The model is used to analyze the response and parameters of vortex-induced vibration of deep-sea top tension drilling riser under the non-frequency-locked condition. The results show that the vibration form of the riser is high-order multi-modal and the riser in-line maximum peak frequency is about 2 times that of the cross-flow direction. Compared with the uniform flow, the vibration displacement and vibration modal numbers of the riser increase and the dominant modal number changes in the sheared flow. The variation of the sea current velocity and top-tension force changes the vibration displacement, vibration modal numbers and dominant modal number. With the increase of the outer diameter, the maximum peak frequency and vibration modal number of the riser decrease gradually, and the change of the riser vibration displacement is not obvious.
An analysis model based on the van der Pol theory is established to analyze the vortex-induced vibration response of deep sea top tensioned riser. The coupled vibration of the in-line and cross-flow directions of the riser is considered in the model. The finite element and Newmark-β methods are used to calculate riser vibration response. The model is used to analyze the response and parameters of vortex-induced vibration of deep-sea top tension drilling riser under the non-frequency-locked condition. The results show that the vibration form of the riser is high-order multi-modal and the riser in-line maximum peak frequency is about 2 times that of the cross-flow direction. Compared with the uniform flow, the vibration displacement and vibration modal numbers of the riser increase and the dominant modal number changes in the sheared flow. The variation of the sea current velocity and top-tension force changes the vibration displacement, vibration modal numbers and dominant modal number. With the increase of the outer diameter, the maximum peak frequency and vibration modal number of the riser decrease gradually, and the change of the riser vibration displacement is not obvious.
引文
[1]WU X D,GE F,HONG Y S.A Review of Recent Studies on Vortex-induced Vibrations of Long Slender Cylinders[J]Journal of Fluids and Structures,2012,28(1):292-308.
[2]陈伟民,付一钦,郭双喜,等.海洋柔性结构涡激振动的流固耦合机理和响应[J].力学进展,2017,47(1):25-91.
[3]唐世振,黄维平,刘建军.深水立管两向自由度涡激振动的数值分析[J].振动与冲击,2010,29(9):206-211.
[4]黄维平,刘娟,唐世振.考虑流固耦合的大柔性圆柱体涡激振动非线性时域模型[J].振动与冲击,2012,31(9):140-143.
[5]吴学敏,黄维平.考虑大变形的大柔性立管涡激振动模型[J].振动与冲击,2013,32(18):21-25.
[6]曲雪,薛鸿祥,唐文勇.深海顶张式立管顺流涡激振动响应预报方法[J].振动与冲击,2013,32(15):32-36.
[7]XUE H X,WANG K P,TANG W Y.A Practical Approach to Predicting Cross-flow and in-line VIV Response for Deepwater Risers[J].Applied Ocean Research,2015,52:92-101.
[8]袁昱超,薛鸿祥,唐文勇.计及附加质量系数变化效应的立管涡激振动时域响应研究[J].振动与冲击,2018,37(1):53-59.
[9]付强,毛良杰,周守为,等.深水钻井隔水管三维涡激振动理论模型[J].天然气工业,2016,36(1):106-114.
[10]陈炉云,李磊鑫,杨念.考虑预应力分布的立管涡激振动特性分析[J].上海交通大学学报,2017,51(4):476-484.
[11]唐友刚,青兆熹,张杰,等.深海立管涡激振动预报模型及影响因素[J].哈尔滨工程大学学报,2017,38(3):338-343.
[12]FACCHINETTI M L,LANGRE E D,BIOLLEY F.Coupling of Structure and Wake Oscillators in Vortex-induced Vibrations[J].Journal of Fluids and Structures,2004,19(2):123-140.
[13]SRINIL N.Analysis and Prediction of Vortex-induced Vibrations of Variable-tension Vertical Risers in Linearly Sheared Currents[J].Applied Ocean Research,2011,33(1):41-53.
[14]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(3):83-97.
[15]陈伟民,张立武,李敏.采用改进尾流振子模型的柔性海洋立管的涡激振动响应分析[J].工程力学,2010,27(5):240-246.
[16]宋芳,林黎明,凌国灿.圆柱涡激振动的结构-尾流振子耦合模型研究[J].力学学报,2010,42(3):357-365.
[17]秦伟,康庄,宋儒鑫.基于离散点涡的双自由度涡激振动尾流振子模型研究[J].工程力学,2012,29(9):294-299.
[18]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.
[19]GU J J,AN C,LEVI C.Prediction of Vortex-induced Vibration of Long Flexible Cylinders Modeled by a Coupled Nonlinear Oscillator:Integral Transform Solution[J].Journal of Hydrodynamics,Series B,2012,24(6):888-898.
[20]FARSHIDIANFAR A,DOLATABADI N.Modified Higher-order Wake Oscillator Model for Vortex-induced Vibration of Circular Cylinders[J].Acta Mechanica,2013,224(7):1441-1456.
[21]CHUCHEEPSAKUL S,MONPRAPUSSORN T,HUANG T.Large Strain Formulations of Extensible Flexible Marine Pipes Transporting Fluid[J].Journal of Fluids and Structures,2003,17(2):185-224.
[22]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(4):557-575.
[2]陈伟民,付一钦,郭双喜,等.海洋柔性结构涡激振动的流固耦合机理和响应[J].力学进展,2017,47(1):25-91.
[3]唐世振,黄维平,刘建军.深水立管两向自由度涡激振动的数值分析[J].振动与冲击,2010,29(9):206-211.
[4]黄维平,刘娟,唐世振.考虑流固耦合的大柔性圆柱体涡激振动非线性时域模型[J].振动与冲击,2012,31(9):140-143.
[5]吴学敏,黄维平.考虑大变形的大柔性立管涡激振动模型[J].振动与冲击,2013,32(18):21-25.
[6]曲雪,薛鸿祥,唐文勇.深海顶张式立管顺流涡激振动响应预报方法[J].振动与冲击,2013,32(15):32-36.
[7]XUE H X,WANG K P,TANG W Y.A Practical Approach to Predicting Cross-flow and in-line VIV Response for Deepwater Risers[J].Applied Ocean Research,2015,52:92-101.
[8]袁昱超,薛鸿祥,唐文勇.计及附加质量系数变化效应的立管涡激振动时域响应研究[J].振动与冲击,2018,37(1):53-59.
[9]付强,毛良杰,周守为,等.深水钻井隔水管三维涡激振动理论模型[J].天然气工业,2016,36(1):106-114.
[10]陈炉云,李磊鑫,杨念.考虑预应力分布的立管涡激振动特性分析[J].上海交通大学学报,2017,51(4):476-484.
[11]唐友刚,青兆熹,张杰,等.深海立管涡激振动预报模型及影响因素[J].哈尔滨工程大学学报,2017,38(3):338-343.
[12]FACCHINETTI M L,LANGRE E D,BIOLLEY F.Coupling of Structure and Wake Oscillators in Vortex-induced Vibrations[J].Journal of Fluids and Structures,2004,19(2):123-140.
[13]SRINIL N.Analysis and Prediction of Vortex-induced Vibrations of Variable-tension Vertical Risers in Linearly Sheared Currents[J].Applied Ocean Research,2011,33(1):41-53.
[14]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(3):83-97.
[15]陈伟民,张立武,李敏.采用改进尾流振子模型的柔性海洋立管的涡激振动响应分析[J].工程力学,2010,27(5):240-246.
[16]宋芳,林黎明,凌国灿.圆柱涡激振动的结构-尾流振子耦合模型研究[J].力学学报,2010,42(3):357-365.
[17]秦伟,康庄,宋儒鑫.基于离散点涡的双自由度涡激振动尾流振子模型研究[J].工程力学,2012,29(9):294-299.
[18]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.
[19]GU J J,AN C,LEVI C.Prediction of Vortex-induced Vibration of Long Flexible Cylinders Modeled by a Coupled Nonlinear Oscillator:Integral Transform Solution[J].Journal of Hydrodynamics,Series B,2012,24(6):888-898.
[20]FARSHIDIANFAR A,DOLATABADI N.Modified Higher-order Wake Oscillator Model for Vortex-induced Vibration of Circular Cylinders[J].Acta Mechanica,2013,224(7):1441-1456.
[21]CHUCHEEPSAKUL S,MONPRAPUSSORN T,HUANG T.Large Strain Formulations of Extensible Flexible Marine Pipes Transporting Fluid[J].Journal of Fluids and Structures,2003,17(2):185-224.
[22]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(4):557-575.