隔震钢筋混凝土贮液结构的流—固耦合高频振动响应
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摘要
通过对贮液结构的共振响应,分析结构的流—固耦合高频振动响应。根据液体发生微幅晃动时的钢筋混凝土矩形贮液结构液动压力的解析解,当结构受到的外界激励频率为液体自振频率时,贮液结构会发生共振现象,动力响应将趋于无穷大。如果在现实情况下发生这样的响应,将会给钢筋混凝土贮液结构的隔震设计带来诸多理论困扰。利用ADINA有限元分析软件,分析了橡胶隔震钢筋混凝土矩形贮液结构流—固耦合共振时的动力响应,结果表明:橡胶隔震支座可过滤掉外界激励的高频振动分量,不会使结构产生理论上的高频共振现象。但是,当外界激励的频率接近液体一阶频率时,结构的动力响应将会出现明显的共振放大现象。因此在选择隔震周期时应该以第一阶频率为主。
Based on the analytical solution of the dynamic liquid pressure of the rectangular reinforced concrete liquid-storage structure with the slight liquid sloshing,the resonance response of the liquid-storage structure would occur and the dynamic response would tend to infinity when the frequency of external excitation the structure received equaled the natural frequency of the liquid.If that happened in reality,many theoretical problems would be brought to the isolation design of the reinforced concrete liquid-storage structure.With the aid of the finite element analysis software ADINA,the fluid-solid-interation(FSI)resonance response of the rubber isolated rectangular reinforced concrete liquid-storage structure was analyzed.The results show that the rubber isolation bearings filtered out the high frequency components of the external excitation and the theoretically high-frequency resonance phenomenon failed to occur,but when the external excitation frequency was close to the first order frequency of the liquid,the dynamic response of the structure brought a significant magnification of resonance response.Therefore,the isolation period should be chosen according to the first order frequency.
Based on the analytical solution of the dynamic liquid pressure of the rectangular reinforced concrete liquid-storage structure with the slight liquid sloshing,the resonance response of the liquid-storage structure would occur and the dynamic response would tend to infinity when the frequency of external excitation the structure received equaled the natural frequency of the liquid.If that happened in reality,many theoretical problems would be brought to the isolation design of the reinforced concrete liquid-storage structure.With the aid of the finite element analysis software ADINA,the fluid-solid-interation(FSI)resonance response of the rubber isolated rectangular reinforced concrete liquid-storage structure was analyzed.The results show that the rubber isolation bearings filtered out the high frequency components of the external excitation and the theoretically high-frequency resonance phenomenon failed to occur,but when the external excitation frequency was close to the first order frequency of the liquid,the dynamic response of the structure brought a significant magnification of resonance response.Therefore,the isolation period should be chosen according to the first order frequency.
引文
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[6]Choun Y S,Yun C B.Sloshing Characteristics in Rectangular Tanks with a Submerged Block[J].Computers&Structures,1996,61(3):401-413.
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[8]Warnitchai P,Pinkaew T.Modelling of Liquid Sloshing in Rec-tangular Tanks with Flow-dampening Devices[J].Engineering Structures,1998,20(7):593-600.
[9]聂利英,施晓丽,田进,等.矩型渡槽槽—水耦合体高阶共振特性研究[J].水力发电学报,2009,27(10):174-178.
[10]张华,董明,刘亮.简谐荷载下橡胶隔震渡槽—水耦合体共振响应机理分析[J].应用力学学报,2011,26(8):361-365.
[11]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,2006,31(5):30-33.
[12]Faltinsen O M.A Nonlinear Theory of Sloshing in Rectangular Tanks[J].Journal of Ship Research,1974,18(14):224-241.
[13]Yin L Z,Wang B L,Ma X R,et al.The Nonlinear Sloshing of Liquid in Tank with Pitching[J].Journal of Applied Mechanics Astronautic and Mechanics,1999,66(44):1 032-1 034.
[2]孙建刚,袁朝庆,郝进锋.橡胶基底隔震储罐地震模拟实验研究[J].哈尔滨工业大学学报,2005,51(6):806-810.
[3]沈世杰.贮水池动水压力计算探讨[J].特种结构,1995,11(4):4-7.
[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.
[5]程选生,杜永峰.弹性壁板下钢筋混凝土矩形贮液结构的液动压力[J].工程力学,2009,25(6):82-88.
[6]Choun Y S,Yun C B.Sloshing Characteristics in Rectangular Tanks with a Submerged Block[J].Computers&Structures,1996,61(3):401-413.
[7]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.
[8]Warnitchai P,Pinkaew T.Modelling of Liquid Sloshing in Rec-tangular Tanks with Flow-dampening Devices[J].Engineering Structures,1998,20(7):593-600.
[9]聂利英,施晓丽,田进,等.矩型渡槽槽—水耦合体高阶共振特性研究[J].水力发电学报,2009,27(10):174-178.
[10]张华,董明,刘亮.简谐荷载下橡胶隔震渡槽—水耦合体共振响应机理分析[J].应用力学学报,2011,26(8):361-365.
[11]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,2006,31(5):30-33.
[12]Faltinsen O M.A Nonlinear Theory of Sloshing in Rectangular Tanks[J].Journal of Ship Research,1974,18(14):224-241.
[13]Yin L Z,Wang B L,Ma X R,et al.The Nonlinear Sloshing of Liquid in Tank with Pitching[J].Journal of Applied Mechanics Astronautic and Mechanics,1999,66(44):1 032-1 034.
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