基于Morison方程的三维地震作用下海底悬跨管道计算模型
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摘要
海底悬跨管道的地震响应与地震动输入方向有关。基于Morison方程,提出了考虑地震不同输入方向的海底悬跨管道的动水作用力模型,并推导了有限元离散方程。建立三维有限元模型模拟模型试验工况,进行了正弦波和ElCentro模拟地震波输入下海底管道的动力分析。考虑地震动输入方向的Morison动水作用力模型计算海底悬跨管道动力反应的数值结果与模型试验结果符合得较好。
The seismic response of free spanning submarine pipelines is related to the earthquake input directions. A hydrodynamic force model improved from Morison equation considering excitation directions to analyze the dynamic response of free spanning submarine pipelines under earthquakes is proposed. Motion equations are derived from improved Morison equation on the base of finite element method. Three dimensional FE model is established to simulate the experimental conditions. The numerical results considering sine wave input and simulated El Centro earthquake input are obtained. The comparison of numerical results with experimental results shows that the improved Morison hydrodynamic force model considering excitation directions could satisfactorily predict the dynamic response of free spanning submarine pipelines subjected to earthquakes.
The seismic response of free spanning submarine pipelines is related to the earthquake input directions. A hydrodynamic force model improved from Morison equation considering excitation directions to analyze the dynamic response of free spanning submarine pipelines under earthquakes is proposed. Motion equations are derived from improved Morison equation on the base of finite element method. Three dimensional FE model is established to simulate the experimental conditions. The numerical results considering sine wave input and simulated El Centro earthquake input are obtained. The comparison of numerical results with experimental results shows that the improved Morison hydrodynamic force model considering excitation directions could satisfactorily predict the dynamic response of free spanning submarine pipelines subjected to earthquakes.
引文
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[2]Datta T K,Mashaly E A.Transverse response of offshore pipelines to random ground motion[J].Earthquake Engineering and Structural Dynamics,1990,19(2):217―228.
[3]Kalliontzis C.Numerical simulation of submarine pipelines in dynamic contact with a moving seabed[J].Earthquake Engineering and Structural Dynamics,1998,27(5):465―486.
[4]李昕,刘亚坤,周晶.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.Experimental investigation and numerical simulation of dynamic response of free spanning submarine pipelines[J].Engineering Mechanics,2003,20(2):21―25.(in Chinese)
[5]高学奎,朱晞.地震动水压力对深水桥墩的影响[J].北京交通大学学报,2006,30(1):54―58.Gao Xuekui,Zhu Xi.Hydrodynamic effect on seismic response of bridge pier in deep water[J].Journal of Beijing Jiaotong University,2006,30(1):54―58.(in Chinese)
[6]冯玉涛,戎进章,曹芳.动水及桩-土-结构相互作用对跨江大桥稳定性的地震影响分析[J].岩石力学与工程学报,2006,25(增刊1):2713―2718.Feng Yutao,Rong Jinzhang,Cao Fang.Seismic response analysis of hydrodynamic and pile-soil-structure interaction for river-spanning bridge[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp.1):2713―2718.(in Chinese)
[7]朱诗颂.丹江口水库二桥考虑水作用时的地震反应分析[J].武汉理工大学学报,2006,28(10):86―88.Zhu Shisong.Research on seismic response of the second Danjiangkou bridge considering water effect[J].Journal of Wuhan University of Technology,2006,28(10):86―88.(in Chinese)
[8]董汝博.多点地震动作用下海底悬跨管道非线性分析[D].大连:大连理工大学,2008.Dong Rubo.Nonlinear analysis of free spanning submarine pipelines subjected to spatially varying earthquake ground motions[D].Dalian:Dalian University of Technology,2008.(in Chinese)
[9]Wilson E L.Three dimensional static and dynamic analysis of structures:a physical approach with emphasis on earthquake engineering[M].3rd ed.California:Computers and Structures,Inc.,2002.
[10]中国船级社.SY/T4804-92,海底管道系统规范[S].北京:人民交通出版社,1992.China Classification Society.SY/T4804-92,Code for submarine pipeline systems[S].Beijing:China Communications Press,1992.(in Chinese)
[11]Lambrakos K F,Chao J C,Beckmann H.Wake model of hydrodynamic forces on pipelines[J].Ocean Engineering,1987,14(2):117―136.
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