层状饱水软土地基三维非轴对称动力响应分析方法
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摘要
将饱水软土地基视为两相介质 ,考虑水的渗流和土骨架变形的耦合作用 ,用Fourier展开和Hankel积分变换分析三维非轴对称饱和弹性土层波动方程 ,用刚度矩阵方法 ,建立了层状饱水软土地基三维非轴对称动力响应的解析分析方法。以数值算例对比分析了单相土介质与两相饱和土介质三维非轴对称稳态动力响应 ,结果表明 :在饱水软土地基动力响应分析中应该考虑土体中孔隙流体的影响。
The soil was treated as a two phase mixture and the interactive influence of fluid flow and solid deformation was considered. Theoretical procedures were discussed for the dynamic analysis of fluid saturated soils. By means of integral transform, dynamic equations of the 3 D non axisymmetric layered saturated soil are solved. Based on these fundamental solutions, a stiffness matrix of layered saturated soil is derived exactly. A comparative analysis for stable response of dry soil and saturated soil is performed. The results indicate the necessity for considering the fluid in analysis.
The soil was treated as a two phase mixture and the interactive influence of fluid flow and solid deformation was considered. Theoretical procedures were discussed for the dynamic analysis of fluid saturated soils. By means of integral transform, dynamic equations of the 3 D non axisymmetric layered saturated soil are solved. Based on these fundamental solutions, a stiffness matrix of layered saturated soil is derived exactly. A comparative analysis for stable response of dry soil and saturated soil is performed. The results indicate the necessity for considering the fluid in analysis.
引文
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[2] 杨军,宋二祥.饱和无限地基动力反应的有限元分析[J].清华大学学报,1999,(12):82-85.
[3] 杨军,宋二祥,陈肇元.饱和土动力分析的无条件稳定交叉迭代法[J].清华大学学报2001,(6):100-103.
[4] G .D .马诺利斯和D .E .贝斯科思,著,周锡,等译.弹性动力的边界单元法[M].天津科学技术出版社,1991.
[5] 赵成刚,杜修力,崔杰.固体、流体多相孔隙介质中的波动理论及其数值模拟的进展[J].力学进展,1998,28(1):83-91.
[6] P .K .N .D .Rajapakse,T .Senjuntichai.Dynamicresponseofamulti-layeredporoelasticmedium[J].EarthquakeEngineeringandStructuralDynamic,1995,(24):703-722.
[7] O .C .Zinkiewicz,C .T .Chang,P .Bettess.Drained,undrained,consolidatinganddynamicbehaviorassumptionsinsoil,limitsofvalidity[J].Geotech.,1980,(30):385-395.
[8] J .P .Wolf,著,吴世明,等译.土-结构动力相互作用[M].地震出版社,1989.