复合地基各向异性地震反应的数值模拟
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摘要
通过将工程上常用的柔性桩复合地基加固区和非加固区土体模拟成各向异性体,在复合地基地震反应分析中,引入了横观各向同性弹塑性模型,建立了针对横观各向同性介质的双渐近多向透射边界条件。并针对柔性桩复合地基地震反应分析的特点,编制了考虑各向异性的柔性桩复合地基地震反应分析有限元计算程序。在程序中针对不同的材料采用不同的本构关系和不同的单元形式,并采用了关联流动法则和多种屈服准则,可以同时进行复合地基的二维平面应力、平面应变和轴对称问题的静动力数值模拟。程序验证和实例计算分析表明,在柔性桩复合地基地震反应分析中考虑各向异性是必要的。
Anisotropic elastic|plastic model of layered soil and composite foundation with flexible columns is established to solve seismic response analysis of composite foundation in layered soil.The doubly asymptotic multi|directional transmittin g boundary for transversely isotropic medium is formed.Based on anisotropic elas tic|plastic model of composite foundation and layered soil,the dynamic FEM prog ram of layered,transversely isotropic medium is developed according to the chara cteristic of earthquake response analysis for composite foundation.The seismic r esponse analysis of the composite foundation in Shanghai is carried out using th e developed FEM program.From analysis results, it is shown that the dynamic FEM m odel of layered,transversely isotropic composite foundation is feasible and appl icable.And the results show that it is necessary to take account of anisotropy o f composite foundation in the seismic analysis of composite foundation.
Anisotropic elastic|plastic model of layered soil and composite foundation with flexible columns is established to solve seismic response analysis of composite foundation in layered soil.The doubly asymptotic multi|directional transmittin g boundary for transversely isotropic medium is formed.Based on anisotropic elas tic|plastic model of composite foundation and layered soil,the dynamic FEM prog ram of layered,transversely isotropic medium is developed according to the chara cteristic of earthquake response analysis for composite foundation.The seismic r esponse analysis of the composite foundation in Shanghai is carried out using th e developed FEM program.From analysis results, it is shown that the dynamic FEM m odel of layered,transversely isotropic composite foundation is feasible and appl icable.And the results show that it is necessary to take account of anisotropy o f composite foundation in the seismic analysis of composite foundation.
引文
1 龚晓南.复合地基理论及工程应用.北京:中国建筑工业出版社,2002
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3 李海晓,龚晓南,林 楠.复合地基的地震动力反应分析.工业建筑,2001,31(6):43～45
4 徐自国,宋二祥.刚性桩复合地基抗震性能的有限元分析.岩土力学,2004,25(2):179～184
5 潘昌实.隧道力学数值方法.北京:中国铁道出版社,1995
6 OwenDJR ,HintonE .FiniteElementinPlasticity,TheoryandPractice.Swansea:PineridgePressLtd.,1980
7 祝彦知,仲 政.考虑各向异性的层土-盾构隧道地震反应数值模拟.地震工程与工程振动,2004,24(4):90～98
8 WolfJP ,SongC .AsymptoticMulticDirectionalTransmittitingBoundaryforDynamicUnboundedMediumStrutureInteractionAnalysis.Earthq.Eng.&Struc.Dynamics,1995,24(2):175～188
9 HigdonRS .AbsorbingBoundaryConditionApproximatinstotheMultiDimensionalWaveEquation.Math.Comp,1986,47:437～459
2 汪静贝,符圣聪.复合地基的地震反应分析.建筑科学,1996,(2):23～28
3 李海晓,龚晓南,林 楠.复合地基的地震动力反应分析.工业建筑,2001,31(6):43～45
4 徐自国,宋二祥.刚性桩复合地基抗震性能的有限元分析.岩土力学,2004,25(2):179～184
5 潘昌实.隧道力学数值方法.北京:中国铁道出版社,1995
6 OwenDJR ,HintonE .FiniteElementinPlasticity,TheoryandPractice.Swansea:PineridgePressLtd.,1980
7 祝彦知,仲 政.考虑各向异性的层土-盾构隧道地震反应数值模拟.地震工程与工程振动,2004,24(4):90～98
8 WolfJP ,SongC .AsymptoticMulticDirectionalTransmittitingBoundaryforDynamicUnboundedMediumStrutureInteractionAnalysis.Earthq.Eng.&Struc.Dynamics,1995,24(2):175～188
9 HigdonRS .AbsorbingBoundaryConditionApproximatinstotheMultiDimensionalWaveEquation.Math.Comp,1986,47:437～459
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