二维土-结构地震动力相互作用时域有限元分析
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摘要
土与结构动力相互作用是地震工程研究中的一个十分重要的课题。给出了分析地震作用下二维土-结构动力相互作用的时域有限元方法。重点放在如何模拟瞬态波在无穷介质中的传播以及如何实现地震动的输入方面。在给出的有限元过程中,地震动的输入方法以及用于截断无穷介质以获得有限计算域的局部透射人工边界都是基于柱面波动方程推导建立的,这种方法非常简单有效,结合Newmark时间积分法是无条件稳定的,使得时域计算有效而可靠。数值算例验证了这种方法的精度和有效性。
The dynamic soil-structure interaction(SSI)is one of the most important subjects in earthquake engineering.A time-domain finite element method(FEM)for analysis of two dimensional dynamic soil-structure interactions due to seismic excitations is presented.Emphasis is placed on how to simulate transient wave propagation in unbounded media and how to realize the earthquake input.In the proposed finite element procedure,both the method for earthquake input and the local transmitting artificial boundaries for finite analysis domain are established based on the cylindrical wave equation.The proposed method is simple and efficient,and the time-stepping scheme using Newmark's method in conjunction with the method is unconditionally stable,allowing for efficient and reliable time-domain computations.Numerical examples are presented to illustrate the validity and accuracy of the proposed method.
The dynamic soil-structure interaction(SSI)is one of the most important subjects in earthquake engineering.A time-domain finite element method(FEM)for analysis of two dimensional dynamic soil-structure interactions due to seismic excitations is presented.Emphasis is placed on how to simulate transient wave propagation in unbounded media and how to realize the earthquake input.In the proposed finite element procedure,both the method for earthquake input and the local transmitting artificial boundaries for finite analysis domain are established based on the cylindrical wave equation.The proposed method is simple and efficient,and the time-stepping scheme using Newmark's method in conjunction with the method is unconditionally stable,allowing for efficient and reliable time-domain computations.Numerical examples are presented to illustrate the validity and accuracy of the proposed 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,1998,30(11):99～103.Xu Yanjie,Zhang Chuhan,Jin Feng.Model of FE-BE-IBE coupling for soil-structure interaction on nonlinear response of arch dams[J].Journal of Tsinghua University,1998,30(11):99～103.(in Chinese)
[2]陈厚群.当前我国水工抗震中的主要问题和发展动态[J].振动工程学报,1997,10(3):253～257.Chen Houqun.The main problems and developments in seismic studies on hydraulic structures in china[J].Journal of Vibration Engineering,1997,10(3):253～257.(in Chinese)
[3]Clough RW.Nonlinear mechanisms in the seismic response of arch dams[C].International Conference on Earthquake Engineering,Skopje,Yugoslavia,1980.
[4]Givoli D.Non-reflecting boundary conditions[J].Journal of Computational Physics,1991,94:1～29.
[5]Lysmer J,Kuhlemeyer RL.Finite dynamic model for infinite media[J].Journal of the Engineering Mechanics Division(ASCE),1969,95:859～877.
[6]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,2003,43(11):1530～1533.Qiu Liuchao,Jin Feng.Explicit time-domain radiation boundaries for analysis of wave propagation in unbounded media[J].Journal of Tsinghua University,2003,43(11):1530～1533.(in Chinese)
[7]Kellezi L.Local transmitting boundaries for transient elastic analysis[J].Soil Dynamics and Earthquake Engineering,2000,19:533～547.
[8]Whitham GB.Linear and nonlinear waves[M].New York:Wiley,1974.
[9]Guddati MN,Tassoulas JL.Characteristics methods for transient analysis of wave propagation in unbounded media[J].Computer Methods in Applied Mechanics and Engineering,1998,164:187～206.
[10]Wolf JP,Song C.Finite-element modeling of unbounded media[M].New York:Wiley,1996.
[11]Kramer SL.Geotechnical earthquake engineering[M].New Jersey:Prentice Hall,1996.
[12]Westergaard H M.Water pressures on dams during earthquakes[J].Transactions of the American Society of Civil Engineers,1933,98:418～433.
[2]陈厚群.当前我国水工抗震中的主要问题和发展动态[J].振动工程学报,1997,10(3):253～257.Chen Houqun.The main problems and developments in seismic studies on hydraulic structures in china[J].Journal of Vibration Engineering,1997,10(3):253～257.(in Chinese)
[3]Clough RW.Nonlinear mechanisms in the seismic response of arch dams[C].International Conference on Earthquake Engineering,Skopje,Yugoslavia,1980.
[4]Givoli D.Non-reflecting boundary conditions[J].Journal of Computational Physics,1991,94:1～29.
[5]Lysmer J,Kuhlemeyer RL.Finite dynamic model for infinite media[J].Journal of the Engineering Mechanics Division(ASCE),1969,95:859～877.
[6]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,2003,43(11):1530～1533.Qiu Liuchao,Jin Feng.Explicit time-domain radiation boundaries for analysis of wave propagation in unbounded media[J].Journal of Tsinghua University,2003,43(11):1530～1533.(in Chinese)
[7]Kellezi L.Local transmitting boundaries for transient elastic analysis[J].Soil Dynamics and Earthquake Engineering,2000,19:533～547.
[8]Whitham GB.Linear and nonlinear waves[M].New York:Wiley,1974.
[9]Guddati MN,Tassoulas JL.Characteristics methods for transient analysis of wave propagation in unbounded media[J].Computer Methods in Applied Mechanics and Engineering,1998,164:187～206.
[10]Wolf JP,Song C.Finite-element modeling of unbounded media[M].New York:Wiley,1996.
[11]Kramer SL.Geotechnical earthquake engineering[M].New Jersey:Prentice Hall,1996.
[12]Westergaard H M.Water pressures on dams during earthquakes[J].Transactions of the American Society of Civil Engineers,1933,98:418～433.
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