大直径深水圆柱结构动水压力的时域算法
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摘要
提出一种计算大直径深水圆柱结构所受动水力的时域算法。大直径深水圆柱结构动水压力计算中,需要考虑水体的可压缩性。基于解析方法推导了频域动水力公式,该公式在时域计算中需要进行快速傅里叶变换或者时间卷积运算,计算量巨大。采用由频域有理函数近似和时域辅助变量实现构成的时间卷积算法,将动水力的频域解析公式实现为高精度、高效率时域算法。算例表明,本文方法具有较高的计算精度和计算效率。
A time-domain method is proposed to compute the hydrodynamic pressure on the deep-water cylindrical structure of large diameter.In the computation of the hydrodynamic pressure on the deep-water cylindrical structure of large diameter,the water should be compressible.The frequency-domain hydrodynamic pressure formulation is derived by the analytical method.This formulation has the high costs of computation and storage in time-domain analysis due to the Fast Fourier Transform or temporal convolution computation.Using the convolution algorithm consisting of the frequency-domain rational function approximation and time-domain auxiliary variable realization,the frequency-domain hydrodynamic pressure formulation is transformed into an accurate and efficient method in time domain.The numerical example indicates the effectiveness of the proposed method.
A time-domain method is proposed to compute the hydrodynamic pressure on the deep-water cylindrical structure of large diameter.In the computation of the hydrodynamic pressure on the deep-water cylindrical structure of large diameter,the water should be compressible.The frequency-domain hydrodynamic pressure formulation is derived by the analytical method.This formulation has the high costs of computation and storage in time-domain analysis due to the Fast Fourier Transform or temporal convolution computation.Using the convolution algorithm consisting of the frequency-domain rational function approximation and time-domain auxiliary variable realization,the frequency-domain hydrodynamic pressure formulation is transformed into an accurate and efficient method in time domain.The numerical example indicates the effectiveness of the proposed method.
引文
[1]刘自明,王邦楣,陈开利.桥梁深水基础[M].北京:人民交通出版社,2003
[2]杨运泽,黄淑珍.明石海峡大桥大直径钢沉箱基础的施工[J].港口工程,1991,3:45-51
[3]Morison J R,O’Brien M P,Johnson J W,et al.The forceexerted by surface wave on piles[J].PetroleumTransactions AIME,1950,189:149-154
[4]Penzien J,Kaul M K.Response of offshore towers to strongmotion earthquakes[J].International Journal ofEarthquake Engineering and Structural Dynamics,1972,1(1):55-68
[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):55-58(Gao Xuekui,Zhu Xi.Hydrodynamic effect on seismic response of bridgepier in deep water[J].Journal of Beijing JiaotongUniversity,2006,30(1):55-58(in Chinese))
[6]李富荣,陈国兴,王志华.考虑动水压力影响的单柱式桥墩地震反应分析[J].地震工程与工程振动,2008,28(2):114-121(Li Furong,Chen Guoxing,Wang Zhihua.Seismic responses of single-column pier considering theeffects of hydrodynamic pressure[J].EarthquakeEngineering and Engineering Vibration,2008,28(2):114-121(in Chinese))
[7]黄信,李忠献.动水压力作用下深水桥墩非线性地震响应分析[J].震灾防御技术,2010,5(3):352-357(Huang Xin,Li Zhongxian.Nonlinear seismic responseanalysis of bridge pier in deep water under hydrodynamicpressure influence[J].Technology for Earthquake DisasterPrevention,2010,5(3):352-357(in Chinese))
[8]李悦,宋波.动水对斜拉桥结构动力响应影响研究[J].土木工程学报,2010,43(12):94-99(Li Yue,Song Bo.Study of the effect of hydrodynamic force on cable-stayedbridges under earthquake[J].China Civil EngineeringJournal,2010,43(12):94-99(in Chinese))
[9]Liaw C Y,Chopra A K.Dynamics of towers surrounded bywater[J].Earthquake Engineering and StructuralDynamics,1974,3:33-49
[10]Tanaka Y,Hudspeth R T.Restoring forces on verticalcircular cylinders forced by earthquakes[J].EarthquakeEngineering and Structural Dynamics,1988,16:99-119
[11]黄信,李忠献.自由表面波和水体压缩性对深水桥墩地震动水压力的影响[J].天津大学学报,2011,44(4):319-323(Huang Xin,Li Zhongxian.Influence of freesurface wave and Water Compressibility on EarthquakeInduced hydrodynamic pressure of bridge pier in deep water[J].Journal of Tianjin University,2011,44(4):319-323(in Chinese))
[12]赖伟,王君杰,胡世德.地震下桥墩动水压力分析[J].同济大学学报,2004,32(1):1-5(Lai Wei,Wang Junjie,Hu Shide.Earthquake induced hydrodynamic pressure onbridge pier[J].Journal of Tongji University,2004,32(1):1-5(in Chinese))
[13]陈昌斌,陶寿福,曹国敖.流体-重力式锥状单腿平台结构-土相互作用体系的地震动力响应[J].海洋工程,1996,14(2):83-89(Chen C B,Tao Shoufu,Cao Guoao.Response analysis of the fluid-single-leg cone gravitationalplatform-soil interaction system[J].The OceanEngineering,1996,14(2):83-89(in Chinese))
[14]房营光.土-桩-平台-水流系统的地震反应分析[J].广东工学院学报,1994,11(4):8-15(Fang Yingguang.Earthquake response analysis of the soil-pile-platfrom-watersystem[J].Journal of Guangdong Institute of Technology,1994,11(4):8-15(in Chinese))
[15]Zhao Mi,Du Xiuli,Liu Jingbo,et al.Explicit finiteelement artificial boundary scheme for transient scalarwaves in two-dimensional unbounded waveguide[J].International Journal for Numerical Methods inEngineering,2011,87(11):1074-1104
[16]Du Xiuli,Zhao Mi.Stability and identification for rationalapproximation of frequency response function of unboundedsoil[J].Earthquake Engineering and Structural Dynamics,2010,39(2):165-186
[17]Du Xiuli,Zhao Mi.A local time-domain transmittingboundary for simulating cylindrical elastic wave propagationin infinite media[J].Soil Dynamics and EarthquakeEngineering,2010,30(10):937-946
[18]赵密.近场波动有限元模拟的应力型时域人工边界条件及其应用[D].北京:北京工业大学,2009(Zhao Mi.Stress-type time-domain artificial boundary condition forfinite-element simulation of near-field wave motion and itsengineering application[D].Beijing:Beijing University ofTechnology,2009(in Chinese))
[2]杨运泽,黄淑珍.明石海峡大桥大直径钢沉箱基础的施工[J].港口工程,1991,3:45-51
[3]Morison J R,O’Brien M P,Johnson J W,et al.The forceexerted by surface wave on piles[J].PetroleumTransactions AIME,1950,189:149-154
[4]Penzien J,Kaul M K.Response of offshore towers to strongmotion earthquakes[J].International Journal ofEarthquake Engineering and Structural Dynamics,1972,1(1):55-68
[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):55-58(Gao Xuekui,Zhu Xi.Hydrodynamic effect on seismic response of bridgepier in deep water[J].Journal of Beijing JiaotongUniversity,2006,30(1):55-58(in Chinese))
[6]李富荣,陈国兴,王志华.考虑动水压力影响的单柱式桥墩地震反应分析[J].地震工程与工程振动,2008,28(2):114-121(Li Furong,Chen Guoxing,Wang Zhihua.Seismic responses of single-column pier considering theeffects of hydrodynamic pressure[J].EarthquakeEngineering and Engineering Vibration,2008,28(2):114-121(in Chinese))
[7]黄信,李忠献.动水压力作用下深水桥墩非线性地震响应分析[J].震灾防御技术,2010,5(3):352-357(Huang Xin,Li Zhongxian.Nonlinear seismic responseanalysis of bridge pier in deep water under hydrodynamicpressure influence[J].Technology for Earthquake DisasterPrevention,2010,5(3):352-357(in Chinese))
[8]李悦,宋波.动水对斜拉桥结构动力响应影响研究[J].土木工程学报,2010,43(12):94-99(Li Yue,Song Bo.Study of the effect of hydrodynamic force on cable-stayedbridges under earthquake[J].China Civil EngineeringJournal,2010,43(12):94-99(in Chinese))
[9]Liaw C Y,Chopra A K.Dynamics of towers surrounded bywater[J].Earthquake Engineering and StructuralDynamics,1974,3:33-49
[10]Tanaka Y,Hudspeth R T.Restoring forces on verticalcircular cylinders forced by earthquakes[J].EarthquakeEngineering and Structural Dynamics,1988,16:99-119
[11]黄信,李忠献.自由表面波和水体压缩性对深水桥墩地震动水压力的影响[J].天津大学学报,2011,44(4):319-323(Huang Xin,Li Zhongxian.Influence of freesurface wave and Water Compressibility on EarthquakeInduced hydrodynamic pressure of bridge pier in deep water[J].Journal of Tianjin University,2011,44(4):319-323(in Chinese))
[12]赖伟,王君杰,胡世德.地震下桥墩动水压力分析[J].同济大学学报,2004,32(1):1-5(Lai Wei,Wang Junjie,Hu Shide.Earthquake induced hydrodynamic pressure onbridge pier[J].Journal of Tongji University,2004,32(1):1-5(in Chinese))
[13]陈昌斌,陶寿福,曹国敖.流体-重力式锥状单腿平台结构-土相互作用体系的地震动力响应[J].海洋工程,1996,14(2):83-89(Chen C B,Tao Shoufu,Cao Guoao.Response analysis of the fluid-single-leg cone gravitationalplatform-soil interaction system[J].The OceanEngineering,1996,14(2):83-89(in Chinese))
[14]房营光.土-桩-平台-水流系统的地震反应分析[J].广东工学院学报,1994,11(4):8-15(Fang Yingguang.Earthquake response analysis of the soil-pile-platfrom-watersystem[J].Journal of Guangdong Institute of Technology,1994,11(4):8-15(in Chinese))
[15]Zhao Mi,Du Xiuli,Liu Jingbo,et al.Explicit finiteelement artificial boundary scheme for transient scalarwaves in two-dimensional unbounded waveguide[J].International Journal for Numerical Methods inEngineering,2011,87(11):1074-1104
[16]Du Xiuli,Zhao Mi.Stability and identification for rationalapproximation of frequency response function of unboundedsoil[J].Earthquake Engineering and Structural Dynamics,2010,39(2):165-186
[17]Du Xiuli,Zhao Mi.A local time-domain transmittingboundary for simulating cylindrical elastic wave propagationin infinite media[J].Soil Dynamics and EarthquakeEngineering,2010,30(10):937-946
[18]赵密.近场波动有限元模拟的应力型时域人工边界条件及其应用[D].北京:北京工业大学,2009(Zhao Mi.Stress-type time-domain artificial boundary condition forfinite-element simulation of near-field wave motion and itsengineering application[D].Beijing:Beijing University ofTechnology,2009(in Chinese))
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