基于实验的圆柱体流固耦合升力谱模型研究
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摘要
基于均匀流场的弹性圆柱体涡激振动实验,提出了一个考虑流固耦合的涡激升力谱模型。该升力模型采用了Webull分布模型,以流速、约化速度、圆柱体直径和圆柱体固有频率为模型参数,通过引入圆柱体固有频率来考虑流固耦合的影响,避免了时域模型中直接计算圆柱体的顺流向振动响应问题。与实验结果比较表明,该模型可用于均匀流场的涡激振动预测。
A spectrum model of the lift force on an oscillating cylinder in uniform stream is presented based on the VIV experiments of a flexible cylinder.The formula is derived as a function of the natural frequency of the cylinder from a Webull probability density function.The fluid-structure interaction is taken into account in the model by inserting the natural frequency of the cylinder into the model.The other parameters in the model are the velocity of flow,reduced velocity,the diameter of the cylinder.The calculated response with the model was compared with measured response of the cylinder tested in experiments.It is shows that the VIV response of the cylinder in uniform current can be predicted by the lift force model proposed in the paper.
A spectrum model of the lift force on an oscillating cylinder in uniform stream is presented based on the VIV experiments of a flexible cylinder.The formula is derived as a function of the natural frequency of the cylinder from a Webull probability density function.The fluid-structure interaction is taken into account in the model by inserting the natural frequency of the cylinder into the model.The other parameters in the model are the velocity of flow,reduced velocity,the diameter of the cylinder.The calculated response with the model was compared with measured response of the cylinder tested in experiments.It is shows that the VIV response of the cylinder in uniform current can be predicted by the lift force model proposed in the paper.
引文
[1]Gabbai R D,Benaroya H.An overview of modeling andexperiments of vortex-induced vibration of circularcylinders[J].Journal of Sound and Vibration,2005,282:575―616.
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[3]孟昭瑛,杨树耕,王仲捷.水下管道涡激振动的实验研究[J].水利学报,1994(7):43―50.Meng Zhaoying,Yang Shugeng,Wang Zhongjie.Anexperimental study on vortex-excited vibration ofsubwater pipeline[J].Shuili Xuebao,1994(7):43―50.(in Chinese)
[4]Carl M Larsen,Kamran Koushan,Elizabeth Passano.Frequency and time domain analysis of vortex inducedvibrations for free span pipelines[C].Proceedings of theInternational Conference on Offshore Mechanics andArctic Engineering,OMAE,2002,1:103―111.
[5]李昕,刘亚坤,周晶,马恒春.海底悬跨管道动力响应的试验研究和数值模拟[J].工程力学,2003,20(2):21―25.Li Xin,Liu Yakun,Zhou Jing,Ma Hengchun.Experimental investigation and numerical simulation ofdynamic response of free span submarine pipelines[J].Engineering Mechanics,2003,20(2):21―25.(inChinese)
[6]余建兴,罗延生,方华灿.海底管线管跨段涡激振动响应的实验研究[J].地震工程与工程振动,2001,21(4):93―97.Yu Jianxing,Luo Yansheng,Fang Huacan.A test ondynamic response of submarine pipeline spans[J].Earthquake Engineering and Engineering Vibration,2001,21(4):93―97.(in Chinese)
[7]Furnes G K,Berntsen J.On the response of a free spanpipeline subjected to ocean currents[J].OceanEngineering,2003,30(12):1553―1577.
[8]Kocabiyik S.Fluid forces on transversely oscillatingcylinder[J].Applied Mathematic Letter,2000,13(4):59―64.
[9]Low H T,Chew Y T,Tan K T.Fluid forces on a cylinderoscillating in line with a uniform flow[J].OceanEngineering,1989,16(3):307―318.
[10]Sarpkaya Turgut.Fluid forces on oscillating cylinders[J].Journal of the Waterway,Port,Coastal and OceanDivision,Proceedings of the American Society of CivilEngineers,1978,104(4):275―290.
[11]Facchinetti M L,Langre E,Biolley F.Coupling ofstructure and wake oscillators in vortex-inducedvibration[J].Journal of Fluids and Structures,2004,19(2):123―140.
[12]Wang X Q,So R M C,Chan K T.A non-linear fluidforce model for vortex-induced vibration of an elasticcylinder[J].Journal of Sound and Vibration,2003,260:287―305.
[13]黄维平,王爱群,李华军.海底管道悬跨段流致振动实验研究及涡激力模型修正[J].工程力学,2007,24(12):153―157.Huang Weiping,Wang Aiqun,Li Huajun.Experimentalstudy on VIV of span of subsea pipeline and improvedmodel of lift force[J].Engineering Mechanics,2007,24(12):153―157.(in Chinese)
[14]Okajima A,Nakamura A,Kosugi T,Uchida H,TamakiR.Flow-induced in-line oscillation of a circular cylinder[J].European Journal of Mechanics B/Fluids,2004,23(1):115―125.
[2]Carl M Larsen,Gro Sagli Baarholm,Elizabeth Passano,Kamran Koushan.Non-linear time domain analysis ofvortex induced vibrations for free spanning pipelines[C].Proceedings of the International Conference on OffshoreMechanics and Arctic Engineering,OMAE,2004,3:207―215.
[3]孟昭瑛,杨树耕,王仲捷.水下管道涡激振动的实验研究[J].水利学报,1994(7):43―50.Meng Zhaoying,Yang Shugeng,Wang Zhongjie.Anexperimental study on vortex-excited vibration ofsubwater pipeline[J].Shuili Xuebao,1994(7):43―50.(in Chinese)
[4]Carl M Larsen,Kamran Koushan,Elizabeth Passano.Frequency and time domain analysis of vortex inducedvibrations for free span pipelines[C].Proceedings of theInternational Conference on Offshore Mechanics andArctic Engineering,OMAE,2002,1:103―111.
[5]李昕,刘亚坤,周晶,马恒春.海底悬跨管道动力响应的试验研究和数值模拟[J].工程力学,2003,20(2):21―25.Li Xin,Liu Yakun,Zhou Jing,Ma Hengchun.Experimental investigation and numerical simulation ofdynamic response of free span submarine pipelines[J].Engineering Mechanics,2003,20(2):21―25.(inChinese)
[6]余建兴,罗延生,方华灿.海底管线管跨段涡激振动响应的实验研究[J].地震工程与工程振动,2001,21(4):93―97.Yu Jianxing,Luo Yansheng,Fang Huacan.A test ondynamic response of submarine pipeline spans[J].Earthquake Engineering and Engineering Vibration,2001,21(4):93―97.(in Chinese)
[7]Furnes G K,Berntsen J.On the response of a free spanpipeline subjected to ocean currents[J].OceanEngineering,2003,30(12):1553―1577.
[8]Kocabiyik S.Fluid forces on transversely oscillatingcylinder[J].Applied Mathematic Letter,2000,13(4):59―64.
[9]Low H T,Chew Y T,Tan K T.Fluid forces on a cylinderoscillating in line with a uniform flow[J].OceanEngineering,1989,16(3):307―318.
[10]Sarpkaya Turgut.Fluid forces on oscillating cylinders[J].Journal of the Waterway,Port,Coastal and OceanDivision,Proceedings of the American Society of CivilEngineers,1978,104(4):275―290.
[11]Facchinetti M L,Langre E,Biolley F.Coupling ofstructure and wake oscillators in vortex-inducedvibration[J].Journal of Fluids and Structures,2004,19(2):123―140.
[12]Wang X Q,So R M C,Chan K T.A non-linear fluidforce model for vortex-induced vibration of an elasticcylinder[J].Journal of Sound and Vibration,2003,260:287―305.
[13]黄维平,王爱群,李华军.海底管道悬跨段流致振动实验研究及涡激力模型修正[J].工程力学,2007,24(12):153―157.Huang Weiping,Wang Aiqun,Li Huajun.Experimentalstudy on VIV of span of subsea pipeline and improvedmodel of lift force[J].Engineering Mechanics,2007,24(12):153―157.(in Chinese)
[14]Okajima A,Nakamura A,Kosugi T,Uchida H,TamakiR.Flow-induced in-line oscillation of a circular cylinder[J].European Journal of Mechanics B/Fluids,2004,23(1):115―125.
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