留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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.
    [5] WANG Yuan-han,Tham L G,Cheung Y K.Beams and plates on elastic foundations: a review[J].Progress in Structural Engineering and Materials,2005,7(4):174—182. doi: 10.1002/pse.202
    [6] Lamb H.On the propagation over the surface of an elastic solid[J].Philosophical Transaction of the Royal Society, London,Ser A,1904,203(1):1—42. doi: 10.1098/rsta.1904.0013
    [7] Reissner E.Stationare axialsymmetrische durch eine schuttelnde masseerregte schwingungen eines homogenen elastischen halbraumes[J].Ingenieur Archiev,1936,7(6):381—396. doi: 10.1007/BF02090427
    [8] Reissner E.Freie und erzwungene torsionschwingungen des elastichen halbraumes[J].Ingenieur Archiev,1937,8(4):229—245. doi: 10.1007/BF02088941
    [9] Quinlan P M.The elastic theory of soil dynamics[J].American Society for Testing and Materials, Special Technical Publication,1956,(156):3—34.
    [10] Sung T Y.Vibration in semi-infinite solids due to periodic surface loading[J].American Society for Testing and Materials, Special Technical Publication,1956,(156):35—54.
    [11] Hsieh T K.Foundation vibrations[J].Proceedings Institute of Civil Engineers, London,1962,22(6):211—226. doi: 10.1680/iicep.1962.11089
    [12] Lysmer J,Richart F E Jr.Dynamic response of footings to vertical loading[J].Journal of Soil Mechanics and Foundation Division, ASEC,1966,92(1):65—91.
    [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
    [16] Luco J E,Westmann R A.Dynamic response of circular footings[J].Journal of Engineering Mechanics Division, ASCE,1971,97(5):1381—1395.
    [17] Veletson A S,Verbic B.Basic response functions for elastic foundations[J].Journal of Engineering Mechanics Division, ASCE,1974,100(2):189—202.
    [18] Novak M.Prediction of footing vibrations[J].Journal of the Soil Mechanics and Foundations, Div ASCE,1970,96(3):836—861.
    [19] Bycroft G N.Frequencies of a flexible circular plate attached to the surface of a light elastic half-space[J].Journal of Applied Mechanics, ASME,1959,26(3):13—19.
  • 加载中
计量
  • 文章访问数:  3127
  • HTML全文浏览量:  172
  • PDF下载量:  514
  • 被引次数: 0
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

目录

    /

    返回文章
    返回