混凝土非隔震矩形贮液结构的液-固耦合地震响应
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摘要
为了得到地上式非隔震钢筋混凝土矩形贮液结构的液-固耦合地震响应,假定液体为不可压缩,考虑液体表面重力波的影响,综合考虑单元选取、地震动输入方法、网格密度、收敛性和液-固耦合的实现等因素,研究单格贮液结构中地震作用对液体晃动高度、壁面位移、等效应力和等效应变的影响,同时分析不同液位高度下波高、壁板位移和应力的变化规律。结果表明:(i)液体的晃动幅度、等效应力、壁板位移峰值均随着地震烈度的增大而增大;(ii)液位越高,应力、应变和壁板位移值越大,但晃动幅度相对变小;(iii)液量越少,液体晃动幅度越大。
In order to obtain the liquid–solid coupling seismic response of non-isolation overground rectangular reinforced-concrete liquidstorage structures, assuming that the liquid is incompressible, and considering the influence of gravity wave on the liquid surface, unit selection, seismic input method, grid density, convergence and liquid–solid coupling, the liquid sloshing height, wallboard displacement, equivalent stress, and equivalent strain unde r different seismic waves about single-cell liquid storage structures are discussed, and the variation laws of wave height, wallboard displacement and stress are analyzed for different liquid levels. The results indicate that:(i) liquid sloshing amplitude, wallboard displacement and equivalent stress increase with the increase of seismic intensity;(ii) the higher the liquid level is, the greater the values of stress, strain and wallboard displacement are, but the shaking amplitude becomes smaller;(iii) the lower the liquid level is, the higher is.
In order to obtain the liquid–solid coupling seismic response of non-isolation overground rectangular reinforced-concrete liquidstorage structures, assuming that the liquid is incompressible, and considering the influence of gravity wave on the liquid surface, unit selection, seismic input method, grid density, convergence and liquid–solid coupling, the liquid sloshing height, wallboard displacement, equivalent stress, and equivalent strain unde r different seismic waves about single-cell liquid storage structures are discussed, and the variation laws of wave height, wallboard displacement and stress are analyzed for different liquid levels. The results indicate that:(i) liquid sloshing amplitude, wallboard displacement and equivalent stress increase with the increase of seismic intensity;(ii) the higher the liquid level is, the greater the values of stress, strain and wallboard displacement are, but the shaking amplitude becomes smaller;(iii) the lower the liquid level is, the higher is.
引文
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[6]刘习军,张素侠,刘国英,等.矩形弹性壳液耦合系统中的重力波分析[J].力学学报,2006,38(1):106-112(Liu Xijun,Zhang Suxia,Liu Guoying,et al.The analyses of gravity waves in rectangular elastic fluid-shell coupled system[J].Chinese Journal of Theoretical and Applied Mechanics,2006,38(1):106-112(in Chinese))
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[10]Chen H C,Taylor RL.Vibration analysis of fluid-solid systems using a finite element displacement formulation[J].I n t e r n a t i o n a l J o u r n a l f o r N u m e r i c a l M e t h o d s i n Engineering,1990,29(4):683-698
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[13]Bathe K J,Zhang H,Wang M H.Finite element analysis of incompressible and compressible fluid flows with free surfaces and structural interactions[J].Computers and Structures,1995,56(2):193-213
[14]程选生.钢筋混凝土矩形贮液结构的液-固耦合振动[J].煤炭学报,2009,34(3):340-344(Cheng Xuansheng.Liquidsolid coupling vibration of reinforced concrete rectangular liquid-storage tanks[J].Journal of China Coal Society,2009,34(3):340-344(in Chinese))
[15]杜永峰,史晓宇,程选生.钢筋混凝土矩形贮液结构的液固耦合频域分析[J].特种结构,2008,25(3):65-68(Du Yongfeng,Shi Xiaoyu,Cheng Xuansheng.Frequency domain analysis of reinforced concrete rectangular liquid storage structures[J].Special Structures,2008,25(3):65-68(in Chinese))
[16]王翠翠,雷昕戈.考虑液固耦合储液罐非线性地震反应分析[J].防灾科技学院学报,2011,13(1):19-22(Wang Cuicui,Lei Xin’ge.Nonlinear seismic response analysis of liquid storage tanks considering liquid-solid coupling[J].Journal of Institute of Disaster-Prevention Science and Technology,2011,13(1):19-22(in Chinese))
[17]杜永峰,史晓宇,程选生.钢筋混凝土矩形贮液结构的液-固耦合动力分析[J].西北地震学报,2008,30(1):21-26(Du Yongfeng,Shi Xiaoyu,Cheng Xuansheng.Dynamic analysis of reinforced concrete rectangular liquid storage structures considering liquid-structure interaction[J].Northwestern Seismological Journal,2008,30(1):21-26(in Chinese))
[18]程选生,杜永峰.弹性地基上矩形贮液结构的液-固耦合振动特性[J].工程力学,2011,28(2):186-192(Cheng Xuansheng,Du Yongfeng.Vibration characteristic analysis of rectangular liquid-storage structures considering liquidsolid coupling on elastic foundation[J].Engineering Mechanics,2011,28(2):186-192(in Chinese))
[19]程选生,杜永峰.正交各向异性钢筋混凝土板结构弹性常数的确定[J].四川建筑科学研究,2006,32(5):30-33(Cheng Xuansheng,Du Yongfeng.Confirm of elasticity cofficient about or thotropic plates of reinforced concrete[J].Sichuan Building Science,2006,32(5):30-33(in Chinese))
[2]Hoskin L M,Jacobsen L S.Water pressure in a tank caused by a simulated earthquake[J].Bulletin of the Seismological Society of America,1934,24(1):1-32
[3]Housner G W.Dynamic pressure on accelerated fluid container[J].Bulletin of the Seismological Society of America,1957,47(1):15-35
[4]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,1983:31-33,40-89
[5]刘云贺,王克成,陈厚群.储液池的抗震问题探讨[J].地震工程与工程振动,2005,25(1):149-154(Liu Yunhe,Wang Kecheng,Chen Houqun.Seismic analysis of liquid storage container[J].Earthquake Engineering and Engineering Vibration,2005,25(1):149-154(in Chinese))
[6]刘习军,张素侠,刘国英,等.矩形弹性壳液耦合系统中的重力波分析[J].力学学报,2006,38(1):106-112(Liu Xijun,Zhang Suxia,Liu Guoying,et al.The analyses of gravity waves in rectangular elastic fluid-shell coupled system[J].Chinese Journal of Theoretical and Applied Mechanics,2006,38(1):106-112(in Chinese))
[7]Zienkiewicz O C,Bettes P.Fluid-structure dynamic interaction and wave force:An introduction to numerical treatment[J].International Journal for Numerical Methods in Engineering,1978,13(1):1-16
[8]Geer T L.Residual potential and approximation methods for three-dimensional fluid-structure interaction problems[J].The Journal of the Acoustical Society of America,1971,49(5B):1505-1510
[9]Hamdi M A,Oussent Y,Verchery G.A displacement method for the analysis of vibration of coupled fluid-structure systems[J].International Journal for Numerical Methods in Engineering,1978,13(1):139-150
[10]Chen H C,Taylor RL.Vibration analysis of fluid-solid systems using a finite element displacement formulation[J].I n t e r n a t i o n a l J o u r n a l f o r N u m e r i c a l M e t h o d s i n Engineering,1990,29(4):683-698
[11]Jenings A.Added mass for fluid-structure vibration problems[J].International Journal for Numerical Methods in Engineering,1985,5(9):817-830
[12]Bathe K J,Zhang H,Ji S.Finite element analysis of fluid flows coupled by structural interaction[J].Computers and Structures,1999,72(1):1-16
[13]Bathe K J,Zhang H,Wang M H.Finite element analysis of incompressible and compressible fluid flows with free surfaces and structural interactions[J].Computers and Structures,1995,56(2):193-213
[14]程选生.钢筋混凝土矩形贮液结构的液-固耦合振动[J].煤炭学报,2009,34(3):340-344(Cheng Xuansheng.Liquidsolid coupling vibration of reinforced concrete rectangular liquid-storage tanks[J].Journal of China Coal Society,2009,34(3):340-344(in Chinese))
[15]杜永峰,史晓宇,程选生.钢筋混凝土矩形贮液结构的液固耦合频域分析[J].特种结构,2008,25(3):65-68(Du Yongfeng,Shi Xiaoyu,Cheng Xuansheng.Frequency domain analysis of reinforced concrete rectangular liquid storage structures[J].Special Structures,2008,25(3):65-68(in Chinese))
[16]王翠翠,雷昕戈.考虑液固耦合储液罐非线性地震反应分析[J].防灾科技学院学报,2011,13(1):19-22(Wang Cuicui,Lei Xin’ge.Nonlinear seismic response analysis of liquid storage tanks considering liquid-solid coupling[J].Journal of Institute of Disaster-Prevention Science and Technology,2011,13(1):19-22(in Chinese))
[17]杜永峰,史晓宇,程选生.钢筋混凝土矩形贮液结构的液-固耦合动力分析[J].西北地震学报,2008,30(1):21-26(Du Yongfeng,Shi Xiaoyu,Cheng Xuansheng.Dynamic analysis of reinforced concrete rectangular liquid storage structures considering liquid-structure interaction[J].Northwestern Seismological Journal,2008,30(1):21-26(in Chinese))
[18]程选生,杜永峰.弹性地基上矩形贮液结构的液-固耦合振动特性[J].工程力学,2011,28(2):186-192(Cheng Xuansheng,Du Yongfeng.Vibration characteristic analysis of rectangular liquid-storage structures considering liquidsolid coupling on elastic foundation[J].Engineering Mechanics,2011,28(2):186-192(in Chinese))
[19]程选生,杜永峰.正交各向异性钢筋混凝土板结构弹性常数的确定[J].四川建筑科学研究,2006,32(5):30-33(Cheng Xuansheng,Du Yongfeng.Confirm of elasticity cofficient about or thotropic plates of reinforced concrete[J].Sichuan Building Science,2006,32(5):30-33(in Chinese))
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