弹性壁板下钢筋混凝土矩形贮液结构的液动压力
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摘要
钢筋混凝土矩形贮液结构广泛应用于给水排水、污水处理、石油化工、铁路等各种工业企业,主要用于贮存清水、污水、石油和化学液体等。在这类结构的抗震设计中,液动压力是一项主要的地震作用。该文假定贮液结构内的液体是理想、无旋和不可压缩的,并忽略表面重力波的影响,采用无晃动机制的矩形贮液结构液-固耦合振动模型,针对带有弹性壁板的双向壁板式钢筋混凝土矩形贮液结构,将液体运动的速度势函数表示为壁板侧向变形和刚体运动速度势函数的叠加,推导了液动压力计算公式。为便于工程应用,结合现有文献并编制MATLAB程序,给出了液动压力计算的简化公式及其计算系数用表,从而为以后该类结构的设计计算提供了理论依据。
Reinforced concrete (RC) rectangular liquid-storage tanks, which are broadly used to reserve rinsing, sewerage, petroleum and chemical liquid, etc., are mainly applied to such corporations as water-supply and drainage, sewerage-disposal, petroleum and chemical industries, railway and so on. In the seismic response analysis of these structures, dynamic fluid pressure is one of the earthquake actions with extraordinary importance. In this paper, supposing that the liquid in liquid-storage tank is ideal, no revolved and no compressible, and ignoring the influence of surface gravity wave, and adopting the liquid-structure interaction model of no sloshing rectangular liquid-storage tanks, and aiming at the bidirection-wall RC rectangle liquid-storage tanks with elastic walls, the velocity potential function of liquid movement is expressed as overlapping of the velocity potential functions between the side direction deformation and rigid body movement, and so the dynamic fluid pressure calculation formulas are derived. For the convenience of engineering application, considering the literatures in existence and writing MATLAB programs, the simplified calculating formulas of dynamic fluid pressure under the action of horizontal earthquake actions are acquired, and the coefficients of dynamic fluid pressure are tabulated, and so the theory calculation base is provided for the subsequent engineering design about these structures.
Reinforced concrete (RC) rectangular liquid-storage tanks, which are broadly used to reserve rinsing, sewerage, petroleum and chemical liquid, etc., are mainly applied to such corporations as water-supply and drainage, sewerage-disposal, petroleum and chemical industries, railway and so on. In the seismic response analysis of these structures, dynamic fluid pressure is one of the earthquake actions with extraordinary importance. In this paper, supposing that the liquid in liquid-storage tank is ideal, no revolved and no compressible, and ignoring the influence of surface gravity wave, and adopting the liquid-structure interaction model of no sloshing rectangular liquid-storage tanks, and aiming at the bidirection-wall RC rectangle liquid-storage tanks with elastic walls, the velocity potential function of liquid movement is expressed as overlapping of the velocity potential functions between the side direction deformation and rigid body movement, and so the dynamic fluid pressure calculation formulas are derived. For the convenience of engineering application, considering the literatures in existence and writing MATLAB programs, the simplified calculating formulas of dynamic fluid pressure under the action of horizontal earthquake actions are acquired, and the coefficients of dynamic fluid pressure are tabulated, and so the theory calculation base is provided for the subsequent engineering design about these structures.
引文
[1]沈世杰.贮水池动水压力计算探讨[J].特种结构,1995,11(4):4―7.Shen Shijie.Discussion of calculation to the dynamic water pressure of water storage tanks[J].Special Structures,1995,12(4):4―7.(in Chinese)
[2]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,1983:1―93.Ju Rongchu,Zeng Xinchuan.The coupling vibrationtheory between elastic structure and fluid[M].Beijing:Earthquake Press,1983:1―93.(in Chinese)
[3]GB50032-2003,室外给水排水和燃气热力工程抗震设计规范[S].北京:中国建筑工业出版社,2003:6―39.GB50032-2003,Code for seismic design of outdoor water supply,sewerage,gas and heating engineering[S].Beijing:China Architecture and Building Press,2003:6―39.(in Chinese)
[4]Choun Young-sun,Yun Chung-bang.Sloshing characteristics in rectangular tanks with a submerged block[J].Computers&Structures,1996,61(3):401―413.
[5]Ikeda T,Nakagawa N.Non-linear vibrations of a structure caused by water sloshing in a rectangular tank[J].Journal of Sound and Vibration,1997,201(1):23―41.
[6]Warnitchai P,Pinkaew T.Modelling of liquid sloshing in rectangular tanks with flow-dampening devices[J].Engineering Structures,1998,20(7):593―600.
[7]陈科,李俊峰,王天舒.矩形贮箱内液体非线性晃动动力学建模与分析[J].力学学报,2005,37(3):339―345.Chen Ke,Li Junfeng,Wang Tianshu.Nonlinear dynamics modeling and analysis of liquid sloshing in rectangle tank[J].Acta Mechanica Sinica,2005,37(3):339―345.(in Chinese)
[8]张素侠,刘习军,贾启芬.矩形弹性壳液耦合系统的模态试验分析[J].机械强度,2004,26(6):615―619.Zhang Suxia,Liu Xijun,Jia Qifen.Experiment modal analysis on rectangular elastic fluid-filled shell[J].Journal of Mechanical Strength,2004,26(6):615―619.(in Chinese)
[9]刘习军,张素侠,刘国英.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 Suixia,Liu Guoying.The analysis of gravity waves in a rectangular elastic fluid-shell coupled system[J].Acta Mechanica Sinica,2006,38(1):106―112.(in Chinese)
[10]规范组.在地震影响下贮水构筑物的动水压力[J].特种结构,1984,1(2):41―42.Code Group.The dynamic fluid pressure of liquid-storage tanks under the influence of earthquake[J].Special Structures,1984,1(2):41―42.(in Chinese)
[11]上海市政工程设计院.给水排水工程结构设计手册[M].北京:中国建筑工业出版社,1984:1474―1477.Shanghai City Planning Engineering Designing Institute.Feedwater and drainage engineering designing handbook[M].Beijing:China Construction Industry Press,1984:1474―1477.(in Chinese)
[12]程选生,李慧雯.温度作用下钢筋混凝土矩形贮液池池壁厚度的优化[J].特种结构,2001,18(2):51―53.Cheng Xuansheng,Li Huiwen.The optimum design for the thickness of the lateral slab in rectangular reinforced concrete reservoir under temperature[J].Special Structures,2001,18(2):51―53.(in Chinese)
[13]Werner P W,Sundquist K J.On hydrodynamic earthquake effects[J].Transaction of the American Geophysical Union,1949,30(5):636―657.
[14]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)
[15]程选生.钢筋混凝土矩形贮液结构的热力学性能及液-固耦联振动[D].兰州:兰州理工大学大学,2007:67―72.Cheng Xuansheng.Thermodynamic performance and liquid-structure interaction vibration of reinforced concrete rectangular fluid tanks[D].Lanzhou:Lanzhou University of Technology,2007:67―72.(in Chinese)
[16]薛素铎,赵均,高向宇.建筑抗震设计[M].北京:科学出版社,2003:33―45.Xue Suduo,Zhao Jun,Gao Xiangyu.Architecture seismic design[M].Beijing:Science Press,2003:33―45.(in Chinese)
[2]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,1983:1―93.Ju Rongchu,Zeng Xinchuan.The coupling vibrationtheory between elastic structure and fluid[M].Beijing:Earthquake Press,1983:1―93.(in Chinese)
[3]GB50032-2003,室外给水排水和燃气热力工程抗震设计规范[S].北京:中国建筑工业出版社,2003:6―39.GB50032-2003,Code for seismic design of outdoor water supply,sewerage,gas and heating engineering[S].Beijing:China Architecture and Building Press,2003:6―39.(in Chinese)
[4]Choun Young-sun,Yun Chung-bang.Sloshing characteristics in rectangular tanks with a submerged block[J].Computers&Structures,1996,61(3):401―413.
[5]Ikeda T,Nakagawa N.Non-linear vibrations of a structure caused by water sloshing in a rectangular tank[J].Journal of Sound and Vibration,1997,201(1):23―41.
[6]Warnitchai P,Pinkaew T.Modelling of liquid sloshing in rectangular tanks with flow-dampening devices[J].Engineering Structures,1998,20(7):593―600.
[7]陈科,李俊峰,王天舒.矩形贮箱内液体非线性晃动动力学建模与分析[J].力学学报,2005,37(3):339―345.Chen Ke,Li Junfeng,Wang Tianshu.Nonlinear dynamics modeling and analysis of liquid sloshing in rectangle tank[J].Acta Mechanica Sinica,2005,37(3):339―345.(in Chinese)
[8]张素侠,刘习军,贾启芬.矩形弹性壳液耦合系统的模态试验分析[J].机械强度,2004,26(6):615―619.Zhang Suxia,Liu Xijun,Jia Qifen.Experiment modal analysis on rectangular elastic fluid-filled shell[J].Journal of Mechanical Strength,2004,26(6):615―619.(in Chinese)
[9]刘习军,张素侠,刘国英.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 Suixia,Liu Guoying.The analysis of gravity waves in a rectangular elastic fluid-shell coupled system[J].Acta Mechanica Sinica,2006,38(1):106―112.(in Chinese)
[10]规范组.在地震影响下贮水构筑物的动水压力[J].特种结构,1984,1(2):41―42.Code Group.The dynamic fluid pressure of liquid-storage tanks under the influence of earthquake[J].Special Structures,1984,1(2):41―42.(in Chinese)
[11]上海市政工程设计院.给水排水工程结构设计手册[M].北京:中国建筑工业出版社,1984:1474―1477.Shanghai City Planning Engineering Designing Institute.Feedwater and drainage engineering designing handbook[M].Beijing:China Construction Industry Press,1984:1474―1477.(in Chinese)
[12]程选生,李慧雯.温度作用下钢筋混凝土矩形贮液池池壁厚度的优化[J].特种结构,2001,18(2):51―53.Cheng Xuansheng,Li Huiwen.The optimum design for the thickness of the lateral slab in rectangular reinforced concrete reservoir under temperature[J].Special Structures,2001,18(2):51―53.(in Chinese)
[13]Werner P W,Sundquist K J.On hydrodynamic earthquake effects[J].Transaction of the American Geophysical Union,1949,30(5):636―657.
[14]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)
[15]程选生.钢筋混凝土矩形贮液结构的热力学性能及液-固耦联振动[D].兰州:兰州理工大学大学,2007:67―72.Cheng Xuansheng.Thermodynamic performance and liquid-structure interaction vibration of reinforced concrete rectangular fluid tanks[D].Lanzhou:Lanzhou University of Technology,2007:67―72.(in Chinese)
[16]薛素铎,赵均,高向宇.建筑抗震设计[M].北京:科学出版社,2003:33―45.Xue Suduo,Zhao Jun,Gao Xiangyu.Architecture seismic design[M].Beijing:Science Press,2003:33―45.(in Chinese)
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