大型沉井基础地震反应分析中侧向边界的影响
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摘要
以苏通大桥沉井基础方案为例,通过数值分析,分析土层侧向人工边界设置位置对沉井基础地震反应计算的影响。探讨了土层和结构地震反应随土层计算范围不同而变化的规律。为在计算大型沉井基础的地震反应有限元分析中,合理确定有限土域范围提供依据。当土层单侧外延为土层厚度的4倍时,土层中人工侧向边界对沉井地震反应(如单元的弯矩、剪力和轴力等)的影响可以控制在1%的相对误差之内。
Taking the open caisson foundation in Sutong Bridge as the engineering background,the influence of the location of the vertical artificial boundary set in soil layer on the seismic response analysis of the foundation has been analyzed by numerical analysis.The variation tendency of the seismic responses of the soil layer and the foundation with different soil region considered in calculation is studied.The result can be used as reference for the analysis of the large-scale open caisson foundation by the finite element method.When the model is in L/H=4 with the vertical artificial boundary,the effect of vertical artificial boundary in soil layer on the seismic responses of the open caisson,such as the moment,shear and axial force of the elements,can be controlled below 1% of relative errors.
Taking the open caisson foundation in Sutong Bridge as the engineering background,the influence of the location of the vertical artificial boundary set in soil layer on the seismic response analysis of the foundation has been analyzed by numerical analysis.The variation tendency of the seismic responses of the soil layer and the foundation with different soil region considered in calculation is studied.The result can be used as reference for the analysis of the large-scale open caisson foundation by the finite element method.When the model is in L/H=4 with the vertical artificial boundary,the effect of vertical artificial boundary in soil layer on the seismic responses of the open caisson,such as the moment,shear and axial force of the elements,can be controlled below 1% of relative errors.
引文
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[2]Liao Z P,Wnag H L.A transmitting boundary fornumerical simulation of elastic wave propagation[J].Soil Dynamic and Earthquake Engineering,1984,3(4):174―183.
[3]Lysmer J,Kulemeyer R L.Finite dynamic model forinfinite media[J].Journal of Engineering Mechanics,1969,95(4):759―877.
[4]Deeks A J,Randolph M F.Axisymmetric time-domaintransmitting boundaries[J].Journal of EngineeringMechanics,1994,120(1):25―42.
[5]廖振鹏,黄孔亮,杨柏坡,等.暂态波分析的透射边界条件[J].中国科学(A辑),1984,27(6):1063―1076.Liao Zhenpeng,Huang Kongliang,Yang Baipo,et al.Atransmitting boundary for transient wave analysis[J].Science in China(Series A),1984,27(6):1063―1076.(in Chinese)
[6]楼梦麟,林皋.粘弹性地基中人工边界的波动反射效应[J].水利学报,1986(6):20―30.Lou Menglin,Lin Gao.The effect of wave reflection ofartificial boundaries in viscoelastic media[J].Journal ofHydraulic Engineering,1986(6):20―30.(in Chinese)
[7]楼梦麟,潘旦光,范立础.土层地震反应分析中侧向人工边界影响的数值研究[J].同济大学学报(自然科学版),2003,31(7):757―761.Lou Menglin,Pan Danguang,Fan Lichu.Effect ofVertical artificial boundary of seismic response of soillayer[J].Journal of Tongji University,2003,31(7):757―761.(in Chinese)
[8]Anil K Chopra.Dynamics of structure theory andapplications to earthquake engineering[M].USA:Pearson Education,Inc.,2007.
[9]Clough R,Penzien J.Dynamics of structure[M].Berkeley,California,USA:Computer and Structures,Inc.,1995.
[10]楼梦麟,潘旦光.滞后阻尼在土层时域分析中的应用[J].同济大学学报(自然科学版),2004,32(3):281―285.Lou Menglin,Pan Danguang.Hysteretic dampingapplication in tine domain analysis of soil layer[J].Journal of Tongji University,2004,32(3):281―285.(inChinese)
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