刚性储罐基底隔震的动力反应
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摘要
为了降低水平地震激励下圆柱形储罐的地震响应,假定储罐罐壁为刚性运动,液体为理想流体,同时考虑液体自由表面的晃动影响,依据储罐内液体满足的边界条件和势流体理论,给出了动水压力、基底剪力和倾覆力矩的理论表达.利用相同激励下原型罐和等效力学模型罐基底剪力和弯矩等效原则,给出了刚性储罐晃动波高、基底剪力和弯矩的简化表达,建立了刚性储罐基础隔震两质点简化分析力学模型.依据Hamilton原理建立了刚性储罐基础隔震运动分析方程.结果表明,在隔震状态下,液体的对流分量对基底剪力和倾覆力矩的贡献是不可忽略的,隔震对晃动波高的影响不大,对基底剪力和弯矩的降低效应明显.
In order to reduce the seismic response of cylindrical storage tanks during horizontal earthquake action,the tank wall was assumed to be rigid,and the ideal fluid was liquid.In considering the convection motion of a free surface according to boundary conditions and potential theory,the hydrodynamic,base shear,and overturning moment were given.The sloshing wave height,base shear,and overturning moment were given by using the same base shear and overturning moment of the liquid tank system and an equivalent mechanical model which were subjected to the same ground motion.Therefore,a model showing analysis of the two centralized particles was established.The control equations of the system-motion were derived from Hamilton's principle.The result shows that the contribution of the convective component to base shear and overturning is not neglected by the isolation.The isolation has little effect on the sloshing wave,and the base shear and overturning moment are effectively reduced.
In order to reduce the seismic response of cylindrical storage tanks during horizontal earthquake action,the tank wall was assumed to be rigid,and the ideal fluid was liquid.In considering the convection motion of a free surface according to boundary conditions and potential theory,the hydrodynamic,base shear,and overturning moment were given.The sloshing wave height,base shear,and overturning moment were given by using the same base shear and overturning moment of the liquid tank system and an equivalent mechanical model which were subjected to the same ground motion.Therefore,a model showing analysis of the two centralized particles was established.The control equations of the system-motion were derived from Hamilton's principle.The result shows that the contribution of the convective component to base shear and overturning is not neglected by the isolation.The isolation has little effect on the sloshing wave,and the base shear and overturning moment are effectively reduced.
引文
[1]孙建刚.立式储罐地震响应控制研究[D].哈尔滨:中国地震局工程力学研究所,2002:13-168.SUN Jiangang.Research on the earthquake response controlof the vertical storage tanks[D].Harbin:Institute of Engi-neering Mechanics China Seismological Bureau,2002:13-168.
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[3]周锡元,阎维明,杨润林.建筑结构的隔震、减震和振动控制[J].建筑结构学报,2002,23(2):2-12.ZHOU Xiyuan,YAN Weiming,YANG Renlin.Seismic baseisolation,energy dissipation and vibration gontrol of buildingstructures[J].Journal of Building Structures,2002,23(2):2-12.
[4]孙建刚,郝进峰,王振.储罐基底隔震振型分解反应谱计算分析研究[J].哈尔滨工业大学学报,2005,37(6):649-651.SUN Jiangang,HAO Jinfeng,WANG Zhen.Research on thecalculation of the mode analysis response spectrum of theseismic base isolation steel storage tank[J].Journal of Har-bin Institute of Technology,2005,37(6):649-651.
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[6]孙建刚,张丽,袁朝庆.立式储罐基底隔震动力反应特性分析[J].地震工程与工程振动,2001,21(3):140-144.SUN Jiangang,ZHANG Li,YUAN Zhaoqing.Dynamiccharacteristic analysis of base isolation for vertical storagetank[J].Earthquake Engineering and Engineering Vibra-tion,2001,3(21):140-145.
[7]CHALHOUB M S,KELLY,J M.Shake table test of cylin-drical water tank in base isolated structures[J].Journal ofStructural Engineering,ASCE,1990,116(7):1451-1472.
[8]LIANG B,TANG J X.Vibration studies of base isolatedstorage tanks[J].Computers and Structures,1994,52:1051-1059.
[9]ZAYAS V S,LOW D S.Application of seismic isolation toindustrial tanks[C]//Proc,Pressure Vessels and Piping onASME/JSME.Hawaii,1995:268-273.
[10]MALHOTRA P K.New method for seismic base isolationof liquid storage tanks[J].Earthquake Engineering andStructural Dynamics,1997,26:839-847.
[11]MALHOTRA P K.Seismic strengthening of liquid-storagetanks with energy-dissipating anchors[J].J Struct Engrg,ASCE,1998,124(4):405-414.
[12]WANG Y P,TENG M C,CHUNG K W.Seismic isolation ofrigid cylindrical tanks using friction pendulum bearing[J].Earthquake Engineering and Structural Dynamics,2001,30:1083-1099.
[13]KIM M K,LIM Y M,CHO S Y,et al.Seismic analysis ofbase-isolated liquid storage tanks using the BE-FE-BE cou-pling technique[J].Soil Dynamics&Earthquake Engi-neering,2002,22(9-12):1151-1157.
[14]CHO K H,KIM M K,LIMY M,et al.Seismic responseof base-isolated liquid storage tanks considering fluid-struc-ture-soil interaction in time domain[J].Soil Dynamics&Earthquake Engineering,2004,24(11):839-852.
[15]JADHAV M B,JANGID R S.Response of base-isolatedliquid storage tanks[J].Shock and Vibration,2004,11:33-45.
[2]HOUSNER G W.Dynamic pressure on accelerated fluidcontainer[J].Bulletin of the Seismological Society of Amer-ica,1957,47(1):15-35.
[3]周锡元,阎维明,杨润林.建筑结构的隔震、减震和振动控制[J].建筑结构学报,2002,23(2):2-12.ZHOU Xiyuan,YAN Weiming,YANG Renlin.Seismic baseisolation,energy dissipation and vibration gontrol of buildingstructures[J].Journal of Building Structures,2002,23(2):2-12.
[4]孙建刚,郝进峰,王振.储罐基底隔震振型分解反应谱计算分析研究[J].哈尔滨工业大学学报,2005,37(6):649-651.SUN Jiangang,HAO Jinfeng,WANG Zhen.Research on thecalculation of the mode analysis response spectrum of theseismic base isolation steel storage tank[J].Journal of Har-bin Institute of Technology,2005,37(6):649-651.
[5]居荣初,曾心传.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983:40-71.
[6]孙建刚,张丽,袁朝庆.立式储罐基底隔震动力反应特性分析[J].地震工程与工程振动,2001,21(3):140-144.SUN Jiangang,ZHANG Li,YUAN Zhaoqing.Dynamiccharacteristic analysis of base isolation for vertical storagetank[J].Earthquake Engineering and Engineering Vibra-tion,2001,3(21):140-145.
[7]CHALHOUB M S,KELLY,J M.Shake table test of cylin-drical water tank in base isolated structures[J].Journal ofStructural Engineering,ASCE,1990,116(7):1451-1472.
[8]LIANG B,TANG J X.Vibration studies of base isolatedstorage tanks[J].Computers and Structures,1994,52:1051-1059.
[9]ZAYAS V S,LOW D S.Application of seismic isolation toindustrial tanks[C]//Proc,Pressure Vessels and Piping onASME/JSME.Hawaii,1995:268-273.
[10]MALHOTRA P K.New method for seismic base isolationof liquid storage tanks[J].Earthquake Engineering andStructural Dynamics,1997,26:839-847.
[11]MALHOTRA P K.Seismic strengthening of liquid-storagetanks with energy-dissipating anchors[J].J Struct Engrg,ASCE,1998,124(4):405-414.
[12]WANG Y P,TENG M C,CHUNG K W.Seismic isolation ofrigid cylindrical tanks using friction pendulum bearing[J].Earthquake Engineering and Structural Dynamics,2001,30:1083-1099.
[13]KIM M K,LIM Y M,CHO S Y,et al.Seismic analysis ofbase-isolated liquid storage tanks using the BE-FE-BE cou-pling technique[J].Soil Dynamics&Earthquake Engi-neering,2002,22(9-12):1151-1157.
[14]CHO K H,KIM M K,LIMY M,et al.Seismic responseof base-isolated liquid storage tanks considering fluid-struc-ture-soil interaction in time domain[J].Soil Dynamics&Earthquake Engineering,2004,24(11):839-852.
[15]JADHAV M B,JANGID R S.Response of base-isolatedliquid storage tanks[J].Shock and Vibration,2004,11:33-45.
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