矩型渡槽槽-水耦合体高阶共振特性研究
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摘要
建立在小幅晃动假设上的槽水耦合体响应理论解显示,当外加激励为简谐荷载且激振频率为水体奇数阶晃动频率时,槽内水体出现共振现象,响应幅值趋于无穷大。如果此理论解确能代表现实中响应特性,则渡槽减隔震设计中存在槽-水耦合体高阶共振问题。这不但给渡槽减隔震设计增加了难度,也给实际工程带来潜在的风险。因此,通过槽-水耦合体高阶共振特性的CFD仿真分析,对槽-水耦合体高阶共振特性进行概念修正,并得出在渡槽减隔震设计中,几乎不存在槽-水耦合体高阶共振影响,在选择隔震周期时,只需避开一阶水体晃动频率的结论。
Theoretical solution based on the assumption of small amplitude sloshing suggests that the dynamic responses of duct-water coupled components drive to infinite under an excitation of simple harmonic waves of odd frequencies.If this solution reflects the reality,then the higher-order resonance has to be considered in the aqueduct bridge design,which leads to a design difficulty and also bring hidden risks to a practical project.This paper shows the need to modify the conceptions from the theoretical solution of small amplitude sloshing.An analysis on the higher-order resonance of duct-water by using CFD simulation verifies that actually almost no higher-order resonances can occur,and that only the natural sloshing frequency needs be avoided when determine the isolation period in the isolated design of aqueduct bridge.
Theoretical solution based on the assumption of small amplitude sloshing suggests that the dynamic responses of duct-water coupled components drive to infinite under an excitation of simple harmonic waves of odd frequencies.If this solution reflects the reality,then the higher-order resonance has to be considered in the aqueduct bridge design,which leads to a design difficulty and also bring hidden risks to a practical project.This paper shows the need to modify the conceptions from the theoretical solution of small amplitude sloshing.An analysis on the higher-order resonance of duct-water by using CFD simulation verifies that actually almost no higher-order resonances can occur,and that only the natural sloshing frequency needs be avoided when determine the isolation period in the isolated design of aqueduct bridge.
引文
[1]陈厚群.南水北调工程抗震安全性问题[J].中国水利水电科学研究院学报,2003,1(1),17~21.CHEN Houqun.Seismic safety of the South-to-North Water Transfer Project[J].Journal of China Institute of Water Resources andHydropower Research,2003,1(1),17~21.(in Chinese)
[2]庄中华,李敏霞,陈厚群.渡槽结构隔震与耗能减振控制机理的研究[J].噪声与振动控制,2002,2:10~12.ZHUANG Zhonghua,LI Minxia,CHEN Houqun.Basic theory on aqueduct bridge vibration control using Isolation and energy dissipationhybrid system[J].Noise and Vibration Control.2002,2:10~12.(in Chinese)
[3]刘云贺,陈厚群.大型渡槽铅销橡胶支座减震机理的数值模拟[J].水利学报,2003,12:98~103.LIU Yunhe,CHEN Houqun.A seismic effect of lead rubber bearing for large scaled aqueduct[J].Journal of Hydraulic Engineering,2003,12:98~103.(in Chinese)
[4]居荣初.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983.JU Rongchu.The coupled vibration theory of elastic structure and fluid[M].Beijing:Earthquake Publisher,1983.(in Chinese)
[5]Housner G W.Dynamic pressure on accelerated fluid containers[J].Bulletin of the seismological of America,1957,47(1):15~35.
[6]Housner G W.The dynamic behavior of water tanks[J].Bulletin of the seismological of America,1963,53(2):381~387.
[7]Okamoto T,Kawahara M.Two-dimension sloshing analysis by Lagrangian finite element method[J].International Journal for NumericalMethods in Fluids,1990,11:453~477.
[8]Ramaswamy B,Kawahara M.Arbitrary Lagrangian-Eulerian finite element method for unsteady,convetive,incompressible viscous freesurface flow[J].International Journal for Numerical Mehtods in Fluids,1987,7:1053~1075.
[9]Hakan A,Serdar M.Numerical computation of hydrodynamic loads on walls of a rigid rectangular tank due to large amplitude liquid sloshing[J].Turkish Journal Engeneering Env.Sci.2002,26:429~445.
[10]NIE Liying,CUI Jiayi,ZHANG Liaojun.The characteristics of dynamic response of water in aqueduct bridge under large amplitude solshing[A].The 14th World Conference on Earthquake Engineering[C].Beijing:2008:6~157.
[2]庄中华,李敏霞,陈厚群.渡槽结构隔震与耗能减振控制机理的研究[J].噪声与振动控制,2002,2:10~12.ZHUANG Zhonghua,LI Minxia,CHEN Houqun.Basic theory on aqueduct bridge vibration control using Isolation and energy dissipationhybrid system[J].Noise and Vibration Control.2002,2:10~12.(in Chinese)
[3]刘云贺,陈厚群.大型渡槽铅销橡胶支座减震机理的数值模拟[J].水利学报,2003,12:98~103.LIU Yunhe,CHEN Houqun.A seismic effect of lead rubber bearing for large scaled aqueduct[J].Journal of Hydraulic Engineering,2003,12:98~103.(in Chinese)
[4]居荣初.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983.JU Rongchu.The coupled vibration theory of elastic structure and fluid[M].Beijing:Earthquake Publisher,1983.(in Chinese)
[5]Housner G W.Dynamic pressure on accelerated fluid containers[J].Bulletin of the seismological of America,1957,47(1):15~35.
[6]Housner G W.The dynamic behavior of water tanks[J].Bulletin of the seismological of America,1963,53(2):381~387.
[7]Okamoto T,Kawahara M.Two-dimension sloshing analysis by Lagrangian finite element method[J].International Journal for NumericalMethods in Fluids,1990,11:453~477.
[8]Ramaswamy B,Kawahara M.Arbitrary Lagrangian-Eulerian finite element method for unsteady,convetive,incompressible viscous freesurface flow[J].International Journal for Numerical Mehtods in Fluids,1987,7:1053~1075.
[9]Hakan A,Serdar M.Numerical computation of hydrodynamic loads on walls of a rigid rectangular tank due to large amplitude liquid sloshing[J].Turkish Journal Engeneering Env.Sci.2002,26:429~445.
[10]NIE Liying,CUI Jiayi,ZHANG Liaojun.The characteristics of dynamic response of water in aqueduct bridge under large amplitude solshing[A].The 14th World Conference on Earthquake Engineering[C].Beijing:2008:6~157.
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