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基础动力分析的一种半解析、半数值方法

龚文惠 谢洪阳 王元汉

龚文惠, 谢洪阳, 王元汉. 基础动力分析的一种半解析、半数值方法[J]. 应用数学和力学, 2006, 27(5): 539-546.
引用本文: 龚文惠, 谢洪阳, 王元汉. 基础动力分析的一种半解析、半数值方法[J]. 应用数学和力学, 2006, 27(5): 539-546.
GONG Wen-hui, XIE Hong-yang, WANG Yuan-han. Semi-Analytical and Semi-Numerical Method for Dynamic Analysis of Foundation[J]. Applied Mathematics and Mechanics, 2006, 27(5): 539-546.
Citation: GONG Wen-hui, XIE Hong-yang, WANG Yuan-han. Semi-Analytical and Semi-Numerical Method for Dynamic Analysis of Foundation[J]. Applied Mathematics and Mechanics, 2006, 27(5): 539-546.

基础动力分析的一种半解析、半数值方法

详细信息
    作者简介:

    龚文惠(1966- ),女,湖北英山人,副教授,博士(联系人.E-mail:gwh8780@sina.com).

  • 中图分类号: TU435

Semi-Analytical and Semi-Numerical Method for Dynamic Analysis of Foundation

  • 摘要: 提出了一种基础动力分析的半解析、半数值计算方法.采用Lamb解及其相应的近似公式,建立了基础动反力和位移的关系式.从而可象静力问题那样将基础板分离出来,将板看作上部作用已知载荷,下部作用用挠度表示的地基反力,因此只需要对板进行有限元分析.采用这种方法分析了不同形状、 不同刚度、不同频率下的地基板的振动问题, 而且可以考虑基础埋深的影响.算例分析表明,提出的方法是一种计算简便、精度较高、适用范围广泛的有效数值方法.
  • [1] 严人觉,王贻荪,韩清宇.动力基础半空间理论概论[M]. 北京:中国建筑工业出版社,1981,89—251.
    [2] Richart F E Jr, Woods R D,Hall J R Jr.Vibration of Soils and Foundations[M].London:Prentice-Hall,1970,191—241.
    [3] Cheung Y K,Zienkiewicz O C.Plates and tanks on elastic foundation—an application of the finite element method[J].International Journal of Solids and Structures,1965,1(4):451—61. doi: 10.1016/0020-7683(65)90008-9
    [4] Cheung Y K.Beams, slabs and pavements[A].In:Desai C S,Christian J T Eds.Numerical Methods in Geotechnical Engineering[C].New York:McGraw-Hill,1977,176—210.
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    [13] Bycroft G N.Forced vibrations of a rigid circular plate on a semi-infinite elastic space and on an elastic stratum[J].Philosophical Transactions of the Royal Society, London, Series A,1956,248:327—368. doi: 10.1098/rsta.1956.0001
    [14] Arnold R N,Bycroft G N,Warburton G B.Forced Vibrations of a body on an infinite elastic solid[J].Journal of Applied Mechanics, ASME,1955,77(3):391—400.
    [15] Bycroft G N. Machine foundation vibration[J].Proceedings of the Institution of Mechanical Engineers,1959,173(18):469—473. doi: 10.1243/PIME_PROC_1959_173_046_02
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出版历程
  • 收稿日期:  2004-11-08
  • 修回日期:  2006-01-17
  • 刊出日期:  2006-05-15

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