桩基础桥梁的土-结构动力相互作用
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摘要
首先以加权残差公式为基础 ,采用积分方程方法推导与桩基础对应的层状场地动力刚度矩阵公式 ,并用解析解验证了数值分析的计算结果 ;然后用子结构法联合积分方程方法和有限元法的计算结果 ,求解土 -结构动力相互作用的地震响应 ;最后以芜湖长江大桥主跨斜拉桥长塔墩的地震响应为例 ,将本文的计算结果与 Penzien模型的计算结果作了比较。
Based on the weighted residual formulation, the integral expression and the formula for calculating the dynamic stiffness matrix of pile group foundation by the indirect boundary element method are derived. The formula of response [ N p(z) ] in a element with fixed boundary was derived by the Mathmatica. The dynamic stiffness matrix was calculated by MATLAB program. The results which were validated by analytic solution can directly used to solve the soil pile structure interaction problem by the substructure method which connecting the finite element method and the boundary element method.
Based on the weighted residual formulation, the integral expression and the formula for calculating the dynamic stiffness matrix of pile group foundation by the indirect boundary element method are derived. The formula of response [ N p(z) ] in a element with fixed boundary was derived by the Mathmatica. The dynamic stiffness matrix was calculated by MATLAB program. The results which were validated by analytic solution can directly used to solve the soil pile structure interaction problem by the substructure method which connecting the finite element method and the boundary element method.
引文
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[5 ]宋亚新 ,蒋通 ,楼梦麟 .桩基非线性框剪结构相互作用体系(上 ) -群桩阻抗函数的求取 [J].地震工程与工程振动 ,1999,19(2 ) :5 6— 6 3..
[6 ]蒯行成 ,沈蒲生 .层状介质中群桩水平动力阻抗的简化计算方法 [J].振动工程学报 ,1998,11(3) :2 5 8— 2 6 4.
[7]Makris N,Gazetas G.Dynamic pile- soil- pile interactionPart II:lateral and seismic response[J].Earthq.Engr.and Struct.Dyn.,1992 ,2 1(2 ) :145— 16 2 .
[8]Dobry R,Gazetas G.Simple method for dynamic stiffnessand damping of floating pile groups[J]. Geotechnique,1988,38(4) :5 5 7— 5 74.
[9]Mylonakis G,Gazetas G.Settlementand additional internalforce of grouped piles in layered soil[J].Geotechnique,1998,48(1) :5 5— 72 .
[10 ]Shen W Y,Chow Y K,Yong K Y.Variational solution forvertically loaded pile groups in an elastic half- pace[J].Geotechnique,1999,49(2 ) :199— 2 13.
[12 ]孙剑平 .桩基础桥梁土 -结构动力相互作用及其地震控制[D].北京 :北方交通大学 ,2 0 0 0
[2 ]吴世明 ,译 .土 -结构动力相互作用 [M].北京 :地震出版社 ,1989.
[3]Wolf J P. Dynamic Soil- Structure Interaction [M ].Prentice- Hall.1985 .
[4]Wolf JP,Darbre G R.Dynamic- stiffness matrix of soil bythe boundary- element method:conceptual aspects[J].earthq,Engr. and Struct. Dyn.,1984,12 :385— 40 0 .
[5 ]宋亚新 ,蒋通 ,楼梦麟 .桩基非线性框剪结构相互作用体系(上 ) -群桩阻抗函数的求取 [J].地震工程与工程振动 ,1999,19(2 ) :5 6— 6 3..
[6 ]蒯行成 ,沈蒲生 .层状介质中群桩水平动力阻抗的简化计算方法 [J].振动工程学报 ,1998,11(3) :2 5 8— 2 6 4.
[7]Makris N,Gazetas G.Dynamic pile- soil- pile interactionPart II:lateral and seismic response[J].Earthq.Engr.and Struct.Dyn.,1992 ,2 1(2 ) :145— 16 2 .
[8]Dobry R,Gazetas G.Simple method for dynamic stiffnessand damping of floating pile groups[J]. Geotechnique,1988,38(4) :5 5 7— 5 74.
[9]Mylonakis G,Gazetas G.Settlementand additional internalforce of grouped piles in layered soil[J].Geotechnique,1998,48(1) :5 5— 72 .
[10 ]Shen W Y,Chow Y K,Yong K Y.Variational solution forvertically loaded pile groups in an elastic half- pace[J].Geotechnique,1999,49(2 ) :199— 2 13.
[12 ]孙剑平 .桩基础桥梁土 -结构动力相互作用及其地震控制[D].北京 :北方交通大学 ,2 0 0 0
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