承台几何参数对高桩承台地震动水效应的影响
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摘要
传统方法在计算承台动水效应时无法全面考虑承台复杂几何参数的影响,这往往会造成计算结果与实际情况之间的差异。本文采用基于势流体理论的数值模拟方法,建立了考虑结构-水相互作用承台动力特性分析模型,通过对矩形承台及带复杂倒角的承台大量的参数分析,研究了承台振动频率、倒角、几何尺寸,及入水深度对承台地震动水附加质量的影响。研究发现:承台自振频率会影响承台的附加质量,但其影响较小;承台长宽比或厚度的增加都会增大承台的附加质量;同时,承台倒角形式和大小对承台附加质量有明显影响,忽略倒角的影响,将放大承台的动水效应;承台入水深度的增加会引起承台动水附加质量的增大,但深度超过一定范围后,附加质量基本保持稳定。
The traditional method for calculating the cap hydrodynamic effect could not consider the complicated geometries,which makes the differenices between the calculation results and the actual situation.The dynamic analysis model of cap considering structure-water interaction is built up using numerical method based on potential-based fluid theory.Then,the influences of geometries of the rectangular cap and cap with complicated chamfers on the hydrodynamic added mass are studied respectively,which include the cap vibration frequency,the geometrical size,the chamfer and the immersing depth of the cap.The following conclusions are drawn:(1) the vibration frequency has little effect on the hydrodynamic added mass;(2) the increase of the ratio of length to width and the thickness of the cap will increase the added mass;(3) both form and size of chamfers have significant effects on the hydrodynamic added mass,and ignoring chamfer will amplify this effect;(4) the added mass will increase with the increase of the immersing depth of the cap,but keep constant if the depth exceeds a certain value.
The traditional method for calculating the cap hydrodynamic effect could not consider the complicated geometries,which makes the differenices between the calculation results and the actual situation.The dynamic analysis model of cap considering structure-water interaction is built up using numerical method based on potential-based fluid theory.Then,the influences of geometries of the rectangular cap and cap with complicated chamfers on the hydrodynamic added mass are studied respectively,which include the cap vibration frequency,the geometrical size,the chamfer and the immersing depth of the cap.The following conclusions are drawn:(1) the vibration frequency has little effect on the hydrodynamic added mass;(2) the increase of the ratio of length to width and the thickness of the cap will increase the added mass;(3) both form and size of chamfers have significant effects on the hydrodynamic added mass,and ignoring chamfer will amplify this effect;(4) the added mass will increase with the increase of the immersing depth of the cap,but keep constant if the depth exceeds a certain value.
引文
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[8]魏凯,袁万城.深水高桩承台基础地震动水效应数值解析混合算法[J].同济大学学报:自然科学版,2013,41(3):336-967.WEI Kai,YUAN Wancheng.A numerical-analytical mixed method of hydrodynamic effect for Deep-water elevated pile cap foundation under earth-quake[J].Journal of Tongji University:Natural Science,2012,41(3):336-967.(in Chinese)
[9]Morison J R,O’Brien M P,Johnson J W,et al.The force exerted to surface wave on piles[J].Petroleum Transaction,AIME,1950,189:149-154.
[10]袁迎春,赖伟,王君杰,等.Morison方程中动水阻力项对桥梁桩柱地震反应的影响[J].世界地震工程,2005,21(4):88-94.YUAN Yingchun,LAI Wei,WANG Junjie,et al.The effects of hydrodynamic damping on seismic response of bridge piles[J].World EarthquakeEngineering,2005,21(4):88-94.(in Chinese)
[11]Maheri M R,Severn R T.Experimental added-mass in modal vibration of cylindrical structures[J].Engineering Structure,1992,14(3):163-175.
[12]Bhatta D D,Rahman M.On scattering and radiation problem for a cylinder in water of finite depth[J].International Journal of Engineering Sci-ence,2003,41(9):931-967.
[2]兰雅梅,刘桦,皇甫熹,等.东海大桥桥梁桩柱承台水动力模型试验研究——第二部分:作用于群桩及承台上的波流力[J].水动力学研究与进展A辑,2005,20(3):332-339.LAN Yamei,LIU Hua,HUANG Fuxi,et al.Experimental studies on hydrodynamic loads on piles and slab of Donghai Bridge.Part II:Hydrody-namic forces on pile array and slab in wave-current combinations[J].Journal of Hydrodynamics,Ser.A,2005,20(3):332-339.(in Chinese)
[3]宋波,李悦.高桩承台动水力简便计算方法[J].北京科技大学学报,2011,33(4):509-514.SONG Bo,LI Yue.Simplified calculation method of hydrodynamic force for elevated pile caps[J].Journal of University of Science and TechnologyBeijing,2011,33(4):509-514.(in Chinese)
[4]赖伟.地震和波浪作用下深水桥梁的动力响应研究[D].上海:同济大学,2004.LAI Wei.Dynamic interaction between deep-water bridges and water during earthquakes and wave[D].Shanghai:Tongji University,2004.(in Chi-nese)
[5]王君杰,赖伟,胡世德.深水高桩基础桥梁地震水动力效应分析[J].同济大学学报:自然科学版,2011,39(5):650-655.WANG Junjie,LAI Wei,HU Shide.Seismic hydrodynamic effects on group-pile foundations with caps merged in water[J].Journal of Tongji Uni-versity:Natural Science,2011,39(5):650-655.(in Chinese)
[6]Miquel B,Bouaanani N.Practical dynamic analysis of structures laterally vibrating in contact with water[J].Computers&Structures,2011,89(23-24):2195-2210.(in Chinese)
[7]魏凯,伍勇吉,袁万城,等.桥梁群桩基础-水耦合系统动力特性数值模拟[J].工程力学,2010,28(增刊I):195-200.WEI Kai,WU Yongji,YUAN Wancheng,et al.Numerical dynamic analysis for water-pile group bridge foundation interacted system[J].EngineeringMechanics,2010,28(Supplement I):195-200.(in Chinese)
[8]魏凯,袁万城.深水高桩承台基础地震动水效应数值解析混合算法[J].同济大学学报:自然科学版,2013,41(3):336-967.WEI Kai,YUAN Wancheng.A numerical-analytical mixed method of hydrodynamic effect for Deep-water elevated pile cap foundation under earth-quake[J].Journal of Tongji University:Natural Science,2012,41(3):336-967.(in Chinese)
[9]Morison J R,O’Brien M P,Johnson J W,et al.The force exerted to surface wave on piles[J].Petroleum Transaction,AIME,1950,189:149-154.
[10]袁迎春,赖伟,王君杰,等.Morison方程中动水阻力项对桥梁桩柱地震反应的影响[J].世界地震工程,2005,21(4):88-94.YUAN Yingchun,LAI Wei,WANG Junjie,et al.The effects of hydrodynamic damping on seismic response of bridge piles[J].World EarthquakeEngineering,2005,21(4):88-94.(in Chinese)
[11]Maheri M R,Severn R T.Experimental added-mass in modal vibration of cylindrical structures[J].Engineering Structure,1992,14(3):163-175.
[12]Bhatta D D,Rahman M.On scattering and radiation problem for a cylinder in water of finite depth[J].International Journal of Engineering Sci-ence,2003,41(9):931-967.
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