上凸型内孤立波场中顶张力立管极值响应分析
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摘要
为研究上凸型内孤立波作用下立管的响应问题,建立了顶张力立管在上凸型内孤立波场中的运动方程,流体作用力通过Morison方程求解,上凸型内孤立波引起的速度和加速度用两层流体KdV方程计算;采用有限元法离散控制方程,并用Newmark-β法在时域内求解。通过数值模拟探索上凸型内孤立波作用下顶张力立管的位移、弯矩、应力、顶底端转角等极值响应规律,并分析内孤立波幅值、上下两层流体密度差、顶部张力及壁厚对立管响应的影响。研究结果表明,上凸型内孤立波会引起顶张力立管的位移、弯矩、应力及顶底端转角显著增大;由于上凸型内孤立波引起的海水剪切作用剧烈,导致上下两层流体中立管位移反向。
To analyze the dynamic behaviors of marine riser under elevation internal solitary wave(elevation ISW), a governing equation for Top Tensioned Riser(TTR) was established. The fluid force was solved by Morison equation, while velocity and acceleration of elevation ISW were calculated by the KdV equation of a two-layer flow. The dynamic differential equation for TTR was discretized by finite element method and solved by Newmark-β method in time domain. Based on this model, this paper discussed displacements, moments, stresses of TTR and angles of top and bottom end when elevation ISW pass. The results indicate that the elevation ISW has a significant effect on displacements, moments, stresses and angles of TTR. Due to the strong shearing action induced by elevation ISW, displacements of TTR in different layers are in the opposite direction.
To analyze the dynamic behaviors of marine riser under elevation internal solitary wave(elevation ISW), a governing equation for Top Tensioned Riser(TTR) was established. The fluid force was solved by Morison equation, while velocity and acceleration of elevation ISW were calculated by the KdV equation of a two-layer flow. The dynamic differential equation for TTR was discretized by finite element method and solved by Newmark-β method in time domain. Based on this model, this paper discussed displacements, moments, stresses of TTR and angles of top and bottom end when elevation ISW pass. The results indicate that the elevation ISW has a significant effect on displacements, moments, stresses and angles of TTR. Due to the strong shearing action induced by elevation ISW, displacements of TTR in different layers are in the opposite direction.
引文
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[14]Xu Z H,Yin B S,Yang H W,Qi J F.Depression and elevation internal solitary waves in a two layer fluid and their forces on cylindrical piles[J].Chinese Journal of Oceanology and Limnology,2012,30(4):703-712.
[15]张莉,郭海燕,李效民.南海内孤立波作用下顶张力立管极值响应研究[J].振动与冲击,2013,32(10):100-104.Zhang Li,Guo Haiyan,Li Xiaomin.Extreme response of top tensioned riser under internal solitary wave in South China Sea[J].Journal of Vibration and Shock,2013,32(10):100-104.
[16]Bole J B,Ebbesmeyer C C,Romea R D.Soliton currents in the South China Sea:Measurements and theoretical modeling[C]//Offshore Technology Conference.Houston,Texas,USA,1994:367-376.
[17]Morooka C,Coelho F,Shiguemoto D.Dynamic behavior of a top tensioned riser in frequency and time domain[C]//Proceedings of the Sixteenth International Offshore and Polar Engineering Conference.San Francisco,California,USA,2006:31-35.
[18]API RP 16Q,2001.Recommended practice for design,selection,operation and maintenance of marine drilling riser systems[S].American Petroleum Institute,2001.
[2]李朋,郭海燕,李效民,张永波.干涉对海洋立管涡激振动影响实验研究[J].船舶力学,2015,19(10):1227-1234.Li Peng,Guo Haiyan,Li Xiaomin,Zhang Yongbo.Experimental investigation of vortex-induced vibration of marine risers with interference[J].Journal of Ship Mechanics,2015,19(10):1227-1234.
[3]蔡树群,龙小敏,甘子钧.孤立子内波对小直径圆柱形桩柱的作用力初探[J].水动力学研究与进展,2002,17(4):497-506.Cai Shuqun,Long Xiaomin,Gan Zijun.Preliminary study of forces and torques exerted by internal solitons on small-diameter cylindrical piles[J].Journal of Hydrodynamics,2002,17(4):497-506.
[4]Cai S,Long X,Gan Z.A method to estimate the forces exerted by internal solitons on cylindrical piles[J].Ocean Engineering,2003,30(5):673-689.
[5]Xie J,Jian Y,Yang L.Strongly nonlinear internal soliton load on a small vertical circular cylinder in two-layer fluids[J].Applied Mathematical Modelling,2010,34(8):2089-2101.
[6]黄文昊,尤云祥,王旭,胡天群.圆柱型结构内孤立波载荷实验及其理论模型[J].力学学报,2013,45(5):716-728.Huang Wenhao,You Yunxiang,Wang Xu,Hu Tianqun.Internal solitary wave loads experiments and its theoretical[J].Chinese Journal of Theoretical and Applied Mechanics,2013,45(5):716-728.
[7]蒋武杰,林忠义,尤云祥,等.内孤立波与非均匀海流共同作用下顶张立管动力特性[J].水动力学研究与进展,2012,27(4):424-435.Jiang Wujie,Lin Zhongyi,You Yunxiang,et al.Dynamic characteristics of a top tension riser under combined internal solitary wave and non-uniform current[J].Journal of Hydrodynamics,2012,27(4):424-435.
[8]Guo H Y,Zhang L,Li X M.Dynamic responses of top tensioned riser under combined excitation of internal solitary wave,surface wave and vessel motion[J].Journal of Ocean University of China,2013,12(1):6-12.
[9]Fan H H,Li C W,Wang Z M,et al.Dynamic analysis of a hang-off drilling riser considering internal solitary wave and vessel motion[J].Journal of Natural Gas Science&Engineering,2017,37:512-522.
[10]方欣华,杜涛.海洋内波基础和中国海内波[M].青岛:中国海洋大学出版社,2005:71-72.Fang Xinhua,Du Tao.Fundamentals of oceanic internal waves and internal waves in the China Seas[M].Qingdao:Ocean University Press of China,2005:71-72.
[11]Liu A K,Chang Y S,Hsu M K,et al.Evolution of nonlinear internal waves in the East and South China Seas[J].Journal of Geophysical Research,1998,103(C4):7995-8008.
[12]Orr M H,Mignerey P C.Nonlinear internal waves in the South China Sea:Observation of the conversion of depression internal waves to elevation internal waves[J].Journal of Geophysical Research Oceans,2003,108(C3):3064,9-1-16.
[13]Helfrich H R,Melville W K.Long nonlinear internal waves[J].Annual Reviews of Fluid Mechanics,2006,38:395-425.
[14]Xu Z H,Yin B S,Yang H W,Qi J F.Depression and elevation internal solitary waves in a two layer fluid and their forces on cylindrical piles[J].Chinese Journal of Oceanology and Limnology,2012,30(4):703-712.
[15]张莉,郭海燕,李效民.南海内孤立波作用下顶张力立管极值响应研究[J].振动与冲击,2013,32(10):100-104.Zhang Li,Guo Haiyan,Li Xiaomin.Extreme response of top tensioned riser under internal solitary wave in South China Sea[J].Journal of Vibration and Shock,2013,32(10):100-104.
[16]Bole J B,Ebbesmeyer C C,Romea R D.Soliton currents in the South China Sea:Measurements and theoretical modeling[C]//Offshore Technology Conference.Houston,Texas,USA,1994:367-376.
[17]Morooka C,Coelho F,Shiguemoto D.Dynamic behavior of a top tensioned riser in frequency and time domain[C]//Proceedings of the Sixteenth International Offshore and Polar Engineering Conference.San Francisco,California,USA,2006:31-35.
[18]API RP 16Q,2001.Recommended practice for design,selection,operation and maintenance of marine drilling riser systems[S].American Petroleum Institute,2001.