矩形薄板与无限层土地基的相互作用
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摘要
用半解析单元法分析了矩形薄板与无限层土地基的静动力相互作用,提出了板单元和地基单元半解析位移函数。采用在水平两方向解析,在竖向进行离散化的方法,使三维相互作用的问题简化为一维数值计算问题。根据半解析单元法编制的程序操作简单,收敛速度快,提高了计算精度,大大减少了计算工作量。数值计算表明,在工程上必须注意基础附近的表层土的弹性模量的确定,而较深处层土的特性可粗略估计。
The interaction between thin rectangular rectangle plate and infinite layer foundation is analyzed by the semi-analytic element.Two sets of analytic functions are used in the horizontal directions and the method of discreteness is used in vertical direction.Thus the three dimensional interaction problem can be simplified to one dimensional numerical problem.The program based on the principle of semi-analytic element method can save compution time dramatically for its quick convergence.The numerical result shows that the elastic modulus of topsoil nearby foundation must taken into account,because it has a influence on statics and dynamics of system,and the characteristic of deep soil can be estimatd approximately.3 tabs,3 figs,10 refs.
The interaction between thin rectangular rectangle plate and infinite layer foundation is analyzed by the semi-analytic element.Two sets of analytic functions are used in the horizontal directions and the method of discreteness is used in vertical direction.Thus the three dimensional interaction problem can be simplified to one dimensional numerical problem.The program based on the principle of semi-analytic element method can save compution time dramatically for its quick convergence.The numerical result shows that the elastic modulus of topsoil nearby foundation must taken into account,because it has a influence on statics and dynamics of system,and the characteristic of deep soil can be estimatd approximately.3 tabs,3 figs,10 refs.
引文
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[7]曹彩芹,黄义.大型筒仓与地基静力相互作用研究[J].空间结构,2004,10(2):17 25.CAO Cai-qin,HUANG Yi.Static analysis of interac-tion between large silo structure and its foundation[J].Spatial Structure,2004,10(2):17 25.
[8]张棋玮,陈鹏郎,牛荻涛.高层建筑地基、基础与上部结构动力共同工作的BEM/FEM耦合分析[J].长安大学学报:建筑与环境科学版,2003,20(1):16 20.ZHANG Qi-wei,CHEN Peng-lang,NIU Di-tao.Analysis of BEM/FEM coupling method applied tokinematic interaction of soil-foundation superstructureof high-rise building[J].Journal of Chang an Univer-sity:Architecture and Environment Science Edition,2003,20(1):16 20.
[9]王春玲,曹彩芹,黄义.非均质地基非线性地震反应的半解析算法[J].长安大学学报:自然科学版,2005,25(5):43 46.WANG Chun-ling,CAO Cai-qin,HUANG Yi.Sei-mi-analytic method for nonlinear seismic response ofvertically non-homogeneous foundations[J].Journalof Chang an University:Natural Science Edition,2005,25(5):43 46.
[10]曲传军,曹志远.矩形基础与无限层土地基动力相互作用分析[J].建筑结构学报,1988,9(6):66 74.QU Chuan-jun,CAO Zhi-yuan.Dynamics analysis ofinteraction between rectangular footing and infinitelayer foundation[J].Journal of Architectural Struc-ture,1988,9(6):66 74.
[2]Lysmer L,Richart F E.Dynamic response of foot-ings to vertical loading[J].Soil Mech Found DivASCE,1966,92(1):65 91.
[3]Cheung Y K,Zeinkeiwicz O C.Plates and tanks onelastic foundation:an application of finits elementmethed[J].Int J Sold Structure,1965,1(4):451461.
[4]石坚,武莹,贺建辉.上部结构、筏板基础和地基共同作用的有限元分析[J].建筑科学与工程学报,2006,23(2):72 75.SHI Jian,WU Ying,HE Jian-hui.FEA on interac-tion of super structure,raft foundation and groundbase[J].Journal of Architerture and Civil Engineer-ing,2006,23(2):72 75.
[5]曹志远,张佑启.半解析数值方法[M].北京:国防工业出版社,1992.
[6]曹志远.高层建筑空间结构动力计算的一种半解析方法[J].地震工程与工程振动,1983,3(3):11 17.CAO Zhi-yuan.Semi-analytic element method of thedynamics calculation of tall structure[J].EarthquakeEngineering and Engineering Vibration,1983,3(3):11 17.
[7]曹彩芹,黄义.大型筒仓与地基静力相互作用研究[J].空间结构,2004,10(2):17 25.CAO Cai-qin,HUANG Yi.Static analysis of interac-tion between large silo structure and its foundation[J].Spatial Structure,2004,10(2):17 25.
[8]张棋玮,陈鹏郎,牛荻涛.高层建筑地基、基础与上部结构动力共同工作的BEM/FEM耦合分析[J].长安大学学报:建筑与环境科学版,2003,20(1):16 20.ZHANG Qi-wei,CHEN Peng-lang,NIU Di-tao.Analysis of BEM/FEM coupling method applied tokinematic interaction of soil-foundation superstructureof high-rise building[J].Journal of Chang an Univer-sity:Architecture and Environment Science Edition,2003,20(1):16 20.
[9]王春玲,曹彩芹,黄义.非均质地基非线性地震反应的半解析算法[J].长安大学学报:自然科学版,2005,25(5):43 46.WANG Chun-ling,CAO Cai-qin,HUANG Yi.Sei-mi-analytic method for nonlinear seismic response ofvertically non-homogeneous foundations[J].Journalof Chang an University:Natural Science Edition,2005,25(5):43 46.
[10]曲传军,曹志远.矩形基础与无限层土地基动力相互作用分析[J].建筑结构学报,1988,9(6):66 74.QU Chuan-jun,CAO Zhi-yuan.Dynamics analysis ofinteraction between rectangular footing and infinitelayer foundation[J].Journal of Architectural Struc-ture,1988,9(6):66 74.
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