三维不规则地形河谷场地地震响应分析方法研究
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摘要
本文提出了不规则地形地震响应分析的自由场计算方法,并以小湾拱坝场址作为三维场地模型,比较了三维不规则场地侧边界自由场的精确解和近似解;同时,采用大型有限元软件Ansys/Ls-Dyna计算了自由场对场地内部场点地震响应的影响。计算结果表明,三维场地模型的二维自由场近似解与精确解有很大差异,其结果对三维场地内部场点地震响应影响显著,因此,要准确求解三维不规则地形的地震响应必须采用真实的二维侧边界模型。
The calculating method of lateral boundary's free field for 3D irregular topography is presented in this paper,and then Xiaowan arch dam's site is selected as a 3D element model.The exact solution and approximate solution of lateral boundary's free field are found and compared.At the same time,the influence of different free field's calculating methods on the seismic responses of internal field is simulated by large finite element software Ansys / Ls-Dyna.The results show that big differences exist between the exact solution and the approximate solution,and the different results lead to significant changes in the seismic responses of 3D site.Therefore,the real two-dimensional lateral boundary model must be adopted in the problem of seismic responses for 3D irregular topography.
The calculating method of lateral boundary's free field for 3D irregular topography is presented in this paper,and then Xiaowan arch dam's site is selected as a 3D element model.The exact solution and approximate solution of lateral boundary's free field are found and compared.At the same time,the influence of different free field's calculating methods on the seismic responses of internal field is simulated by large finite element software Ansys / Ls-Dyna.The results show that big differences exist between the exact solution and the approximate solution,and the different results lead to significant changes in the seismic responses of 3D site.Therefore,the real two-dimensional lateral boundary model must be adopted in the problem of seismic responses for 3D irregular topography.
引文
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[2]Ashford S A,Sitar N.Analysis of topographic amplification of inclined shear waves in a steep coastal bluff[J].Bull Seis Soc Am,1997,87:692-700.
[3]Ashford S A,Sitar N,Lysmer J,et al.Topographic effects on the seismic response of steep[J].Bull Seis Soc Am,1997,87:701-709.
[4]廖振鹏,杨柏坡,袁一凡.三维地形对地震地面运动的影响[J].地震工程与工程振动,1981,1(1):56-77.LIAO Zhenpeng,YANG Baipo,YUAN Yifan.Effects of three-dimensional topography on earthquake ground motion[J].Journal of Earthquake Engi-neering and Engineering Vibration,1981,1(1):56-77.(in Chinese)
[5]刘晶波,王振宇,张克峰,等.考虑土-结构相互作用大型动力机器基础三维有限元分析[J].工程力学,2002,19(3):34-38.LIU Jingbo,WANG Zhenyu,ZHANG Kefeng,et al.3D finite element analysis of large dynamic machine foundation considering soil-structure intera-cion[J].Engineering Mechanics,2002,19(3):34-38.(in Chinese)
[6]刘晶波,王振宇,杜修力,等.波动问题中的三维时域粘弹性人工边界[J].工程力学,2005,22(6):46-51.LIU Jingbo,WANG Zhenyu,DU Xiuli,et al.Three-dimensional visco-elastic artificial boundaries in time domain for wave motion problems[J].En-gineering Mechanics,2005,22(6),46-51.(in Chinese)
[7]陈青生,高广运,何俊锋.上海软土场地三维非线性地震反应分析[J].岩土力学,2011,32(11):3461-3467.CHEN Qingsheng,GAO Guangyun,HE Junfeng.Analysis of 3D nonlinear seismic response about Shanghai soft soil[J].Rock and Soil Mechan-ics,2011,32(11):3461-3467.(in Chinese)
[8]杜修力,赵密.基于粘弹性边界的拱坝地震反应分析方法[J].水利学报,2006,37(9):1063-1069.DU Xiuli,ZHAO Mi.Analysis method for seismic response of arch dams in time domain based on viscous-spring artificial boundary condition[J].Journal of Hydraulic Engineering,2006(9):1063-1069.(in Chinese)
[9]廖振鹏.近场波动的数值模拟[J].力学进展,1997,27(2):193-302.LIAO Zhenpeng.Numerical simulation of near-field wave motion[J].Advances in Mechanics,1997,27(2):193-302.(in Chinese)
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