混凝土重力坝地震响应数值分析方法
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摘要
给出了混凝土重力坝动力响应分析的时域有限元法.其中,地震波的输入方法以及无限地基辐射阻尼的模拟方法都是在柱面波动方程的基础上建立起来的.这种方法先通过对无限地基的人工截断获得有限计算域,然后沿人工边界布置一系列弹簧和阻尼器来模拟无限地基,在有入射波的边界上用与入射波速成正比的等效力来实现地震动的输入.数值算例表明,该方法简单有效,易于实现,并能够保证一定的精度.
A time-domain finite element method for seismic response analysis of concrete gravity dams was presented.The methods for treatment of earthquake input and modeling of radiation damping in infinite foundation were established based on cylindrical wave equation.In this method,a finite domain was obtained by truncation of the infinite foundation,and the truncated foundation was simulated by a series of dashpots and springs along the boundaries.Then,the earthquake inputs on the boundary with incident waves were simulated with an equivalent force directly proportional to the velocity of incident waves.Case studies show the validity and accuracy of the present method.
A time-domain finite element method for seismic response analysis of concrete gravity dams was presented.The methods for treatment of earthquake input and modeling of radiation damping in infinite foundation were established based on cylindrical wave equation.In this method,a finite domain was obtained by truncation of the infinite foundation,and the truncated foundation was simulated by a series of dashpots and springs along the boundaries.Then,the earthquake inputs on the boundary with incident waves were simulated with an equivalent force directly proportional to the velocity of incident waves.Case studies show the validity and accuracy of the present method.
引文
[1]徐艳杰,张楚汉,金峰.非线性拱坝-地基动力相互作用的FE-BE-IBE模型[J].清华大学学报:自然科学版,1998,38(11):99-103.
[2]LYSMER J,KUHLEMEYER R L.Finite dynamic model for infinite media[J].Journal of the Engineering Mechanics Division,ASCE,1969,95:859-877.
[3]邱流潮,金峰.无限介质中波动分析的显式时域辐射边界[J].清华大学学报:自然科学版,2003,43(11):1530-1533.
[4]KELLEZI L.Local transmitting boundaries for transient elastic analysis[J].Soil Dynamics and Earthquake Engineering,2000,19:533-547.
[5]WHITHAM G B.Linear and nonlinear waves[M].New York:Wiley,1974:138-145.
[6]WESTERGAARD H M.Water pressures on dams during earthquakes[J].Transactions of the American Society of Civil Engineers,1933,98:418-433.
[7]ZIENKIEWICS O C,TAYLOR R L.The finite element method[M].5th ed.London:Butterworth-Heinemann,2000:410-418.
[8]PARK Si-Hwan,ANTIN N.A discontinuous Galerkin method for seismic soil-structure interaction analysis in the time domain[J].Earthquake Engineering and Structural Dynamics,2004,33:285-293.
①CLOUGHR W.Nonlinear mechanismsinthe seismic response of arch dams//Proc of the Int Res Conf on Earthquake Engineering.Skopje:1980:25-31.
[2]LYSMER J,KUHLEMEYER R L.Finite dynamic model for infinite media[J].Journal of the Engineering Mechanics Division,ASCE,1969,95:859-877.
[3]邱流潮,金峰.无限介质中波动分析的显式时域辐射边界[J].清华大学学报:自然科学版,2003,43(11):1530-1533.
[4]KELLEZI L.Local transmitting boundaries for transient elastic analysis[J].Soil Dynamics and Earthquake Engineering,2000,19:533-547.
[5]WHITHAM G B.Linear and nonlinear waves[M].New York:Wiley,1974:138-145.
[6]WESTERGAARD H M.Water pressures on dams during earthquakes[J].Transactions of the American Society of Civil Engineers,1933,98:418-433.
[7]ZIENKIEWICS O C,TAYLOR R L.The finite element method[M].5th ed.London:Butterworth-Heinemann,2000:410-418.
[8]PARK Si-Hwan,ANTIN N.A discontinuous Galerkin method for seismic soil-structure interaction analysis in the time domain[J].Earthquake Engineering and Structural Dynamics,2004,33:285-293.
①CLOUGHR W.Nonlinear mechanismsinthe seismic response of arch dams//Proc of the Int Res Conf on Earthquake Engineering.Skopje:1980:25-31.
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