厚圆板与无限层土地基的动力相互作用
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摘要
用半解析元法分析了厚圆板基础与无限层土地基的三维动力相互作用,提出了一种新的半解析位移函数。采用在水平两方向解析,在竖向进行离散化的方法,使三维动力相互作用的问题简化为一维数值计算问题,大大减少了计算工作量。数值计算表明,在结构和地基相互作用分析中,地基的计算厚度可取为地基深度H与基础的半径R之比(H/R)大于10,地基的计算面积可取为地基计算面积与基础面积之比(S1/S2)大于30;同时在基础设计过程中,应该考虑各层土特性对系统动力特性影响的差异。
The three dimensional interaction was analyzed by the semi-analytic-element-method.Two sets of analytic functions were used in the horizontal directions and the method of discreteness was used in vertical direction .Thus the three dimensional interaction can be simplified to one dimensional numerical computation. The results show that the calculated thickness of elastic foundation should be ten times as much as the radius of thick rounded plate, and calculated area of elastic foundation should be thirty times as much as the area of thick rounded plate.The characteristic of every layer foundation which influence the dynamic of system must be considered.
The three dimensional interaction was analyzed by the semi-analytic-element-method.Two sets of analytic functions were used in the horizontal directions and the method of discreteness was used in vertical direction .Thus the three dimensional interaction can be simplified to one dimensional numerical computation. The results show that the calculated thickness of elastic foundation should be ten times as much as the radius of thick rounded plate, and calculated area of elastic foundation should be thirty times as much as the area of thick rounded plate.The characteristic of every layer foundation which influence the dynamic of system must be considered.
引文
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[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,1998,3(3):11-17.CAO Zhi yuanSemi analytic element method of the dy namics calculation of tall structure[J]EarthquakeEngi neering andEngineeringVibration,1998,3(3):11-17
[7] 曹彩芹,黄 义,刘 彤大型筒仓与地基静力相互作用研究[J]空间结构,2004,10(2):17-25CAO Cai qin,HUANG Yi,LIU TongStatic analysisof interaction between large silo structure and its foun dation[J]SpatialStructure,2004,10(2):17-25
[8] 尹冠生,黄 义筒仓的动力计算[J]长安大学学报(自然科学版),2002,20(5):9-12YING Guan sheng,HUANG YiSilo’s dynamic calcu lation[J]Journal ofChang’anUniversity(NaturalScienceEdition),2002,20(5):9-12
[2] LysmerJ,RichartF E Dynamic response of footingsto vertical loading[J]J SoilMechFoundDivASCE,1966,192SMI.
[3] CheungY K,ZeinkeiwiczO C Plates and tanks on e lastic foundation an application of finite element meth od[J]IntJ SoldStructure,1965,(1):451-461
[4] 曹志远,张佑启.半解析数值方法[M].北京:国防工业出版社,1992.CAO Zhi yuan,ZHANG You qiSemi analytic elementmethod[M]Beijing:DefenceIndustryPress,1992
[5] 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 yuanDynamics analysis ofinteraction between rectangular footing and infinite lay er foundation[J]Journal ofBaildingStructure,1988,9(6):66-74
[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,1998,3(3):11-17.CAO Zhi yuanSemi analytic element method of the dy namics calculation of tall structure[J]EarthquakeEngi neering andEngineeringVibration,1998,3(3):11-17
[7] 曹彩芹,黄 义,刘 彤大型筒仓与地基静力相互作用研究[J]空间结构,2004,10(2):17-25CAO Cai qin,HUANG Yi,LIU TongStatic analysisof interaction between large silo structure and its foun dation[J]SpatialStructure,2004,10(2):17-25
[8] 尹冠生,黄 义筒仓的动力计算[J]长安大学学报(自然科学版),2002,20(5):9-12YING Guan sheng,HUANG YiSilo’s dynamic calcu lation[J]Journal ofChang’anUniversity(NaturalScienceEdition),2002,20(5):9-12
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